From 41c78d35527a73dde396dc9afb38a59c349ca3e4 Mon Sep 17 00:00:00 2001 From: Mikael Mortensen Date: Sat, 17 Aug 2024 19:16:28 +0200 Subject: [PATCH] build demos --- docs/demos/DrivenCavity/drivencavity.ipynb | 263 +- docs/demos/Functions/functions.ipynb | 537 +- .../Integration/surfaceintegration.ipynb | 42137 +-------- docs/demos/KleinGordon/kleingordon.ipynb | 142 +- .../kuramatosivashinsky.ipynb | 92 +- docs/demos/MixingBases/mixingbases.ipynb | 1955 +- docs/demos/Moebius/moebius.ipynb | 71233 +--------------- docs/demos/Poisson/poisson.ipynb | 118 +- docs/demos/Poisson3D/poisson3d.ipynb | 116 +- .../demos/PolarHelmholtz/polarhelmholtz.ipynb | 189 +- .../demos/RayleighBenard/rayleighbenard.ipynb | 133 +- docs/demos/SparsityChebyshev/sparsity.ipynb | 306 +- .../SphereHelmholtz/sphericalhelmholtz.ipynb | 21148 +---- docs/demos/Stokes/stokes.ipynb | 100 +- docs/demos/Tau/tau.ipynb | 1051 +- docs/environment.yml | 1 + docs/source/functions.ipynb | 224 +- docs/source/mixingbases.ipynb | 88 +- docs/source/moebius.ipynb | 92 +- docs/source/poisson.ipynb | 66 +- docs/source/sparsity.ipynb | 94 +- docs/source/sphericalhelmholtz.ipynb | 52 +- docs/source/surfaceintegration.ipynb | 166 +- docs/source/tau.ipynb | 86 +- 24 files changed, 1393 insertions(+), 138996 deletions(-) diff --git a/docs/demos/DrivenCavity/drivencavity.ipynb b/docs/demos/DrivenCavity/drivencavity.ipynb index 4ac262b2..9a631b9a 100644 --- a/docs/demos/DrivenCavity/drivencavity.ipynb +++ b/docs/demos/DrivenCavity/drivencavity.ipynb @@ -92,15 +92,15 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "id": "ab478fd9", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:34.576685Z", - "iopub.status.busy": "2024-08-17T15:54:34.576137Z", - "iopub.status.idle": "2024-08-17T15:54:35.070449Z", - "shell.execute_reply": "2024-08-17T15:54:35.070158Z" + "iopub.execute_input": "2024-08-17T17:13:41.320958Z", + "iopub.status.busy": "2024-08-17T17:13:41.320678Z", + "iopub.status.idle": "2024-08-17T17:13:41.819988Z", + "shell.execute_reply": "2024-08-17T17:13:41.819595Z" }, "tags": [ "thebe-init" @@ -256,15 +256,15 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "id": "f1e8664d", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:35.072462Z", - "iopub.status.busy": "2024-08-17T15:54:35.072233Z", - "iopub.status.idle": "2024-08-17T15:54:35.093026Z", - "shell.execute_reply": "2024-08-17T15:54:35.092819Z" + "iopub.execute_input": "2024-08-17T17:13:41.821954Z", + "iopub.status.busy": "2024-08-17T17:13:41.821711Z", + "iopub.status.idle": "2024-08-17T17:13:41.842551Z", + "shell.execute_reply": "2024-08-17T17:13:41.842298Z" }, "tags": [ "thebe-init" @@ -366,15 +366,15 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": null, "id": "496fa575", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:35.094410Z", - "iopub.status.busy": "2024-08-17T15:54:35.094286Z", - "iopub.status.idle": "2024-08-17T15:54:35.096304Z", - "shell.execute_reply": "2024-08-17T15:54:35.096111Z" + "iopub.execute_input": "2024-08-17T17:13:41.844029Z", + "iopub.status.busy": "2024-08-17T17:13:41.843900Z", + "iopub.status.idle": "2024-08-17T17:13:41.845904Z", + "shell.execute_reply": "2024-08-17T17:13:41.845694Z" }, "tags": [ "thebe-init" @@ -401,15 +401,15 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "id": "522a6cb6", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:35.097533Z", - "iopub.status.busy": "2024-08-17T15:54:35.097456Z", - "iopub.status.idle": "2024-08-17T15:54:35.098956Z", - "shell.execute_reply": "2024-08-17T15:54:35.098752Z" + "iopub.execute_input": "2024-08-17T17:13:41.847102Z", + "iopub.status.busy": "2024-08-17T17:13:41.847029Z", + "iopub.status.idle": "2024-08-17T17:13:41.848550Z", + "shell.execute_reply": "2024-08-17T17:13:41.848357Z" }, "tags": [ "thebe-init" @@ -449,15 +449,15 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": null, "id": "395ae9db", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:35.100036Z", - "iopub.status.busy": "2024-08-17T15:54:35.099971Z", - "iopub.status.idle": "2024-08-17T15:54:35.102165Z", - "shell.execute_reply": "2024-08-17T15:54:35.101969Z" + "iopub.execute_input": "2024-08-17T17:13:41.849732Z", + "iopub.status.busy": "2024-08-17T17:13:41.849666Z", + "iopub.status.idle": "2024-08-17T17:13:41.852019Z", + "shell.execute_reply": "2024-08-17T17:13:41.851800Z" }, "tags": [ "thebe-init" @@ -555,15 +555,15 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": null, "id": "76747afc", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:35.103436Z", - "iopub.status.busy": "2024-08-17T15:54:35.103352Z", - "iopub.status.idle": "2024-08-17T15:54:35.118541Z", - "shell.execute_reply": "2024-08-17T15:54:35.118333Z" + "iopub.execute_input": "2024-08-17T17:13:41.853303Z", + "iopub.status.busy": "2024-08-17T17:13:41.853235Z", + "iopub.status.idle": "2024-08-17T17:13:41.868545Z", + "shell.execute_reply": "2024-08-17T17:13:41.868310Z" }, "tags": [ "thebe-init" @@ -599,15 +599,15 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": null, "id": "9cdaa7ab", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:35.119680Z", - "iopub.status.busy": "2024-08-17T15:54:35.119611Z", - "iopub.status.idle": "2024-08-17T15:54:35.121167Z", - "shell.execute_reply": "2024-08-17T15:54:35.120943Z" + "iopub.execute_input": "2024-08-17T17:13:41.869736Z", + "iopub.status.busy": "2024-08-17T17:13:41.869662Z", + "iopub.status.idle": "2024-08-17T17:13:41.871146Z", + "shell.execute_reply": "2024-08-17T17:13:41.870929Z" }, "tags": [ "thebe-init" @@ -867,15 +867,15 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": null, "id": "53b8bee6", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:35.122796Z", - "iopub.status.busy": "2024-08-17T15:54:35.122703Z", - "iopub.status.idle": "2024-08-17T15:54:35.124069Z", - "shell.execute_reply": "2024-08-17T15:54:35.123889Z" + "iopub.execute_input": "2024-08-17T17:13:41.872698Z", + "iopub.status.busy": "2024-08-17T17:13:41.872624Z", + "iopub.status.idle": "2024-08-17T17:13:41.874148Z", + "shell.execute_reply": "2024-08-17T17:13:41.873892Z" }, "tags": [ "thebe-init" @@ -899,15 +899,15 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": null, "id": "8aa77ff2", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:35.125184Z", - "iopub.status.busy": "2024-08-17T15:54:35.125116Z", - "iopub.status.idle": "2024-08-17T15:54:35.126630Z", - "shell.execute_reply": "2024-08-17T15:54:35.126439Z" + "iopub.execute_input": "2024-08-17T17:13:41.875217Z", + "iopub.status.busy": "2024-08-17T17:13:41.875151Z", + "iopub.status.idle": "2024-08-17T17:13:41.876681Z", + "shell.execute_reply": "2024-08-17T17:13:41.876498Z" }, "tags": [ "thebe-init" @@ -942,15 +942,15 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": null, "id": "31f39748", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:35.127754Z", - "iopub.status.busy": "2024-08-17T15:54:35.127671Z", - "iopub.status.idle": "2024-08-17T15:54:35.140318Z", - "shell.execute_reply": "2024-08-17T15:54:35.140120Z" + "iopub.execute_input": "2024-08-17T17:13:41.877766Z", + "iopub.status.busy": "2024-08-17T17:13:41.877680Z", + "iopub.status.idle": "2024-08-17T17:13:41.890376Z", + "shell.execute_reply": "2024-08-17T17:13:41.890133Z" }, "tags": [ "thebe-init" @@ -1189,15 +1189,15 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": null, "id": "7e7fa5c6", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:35.141914Z", - "iopub.status.busy": "2024-08-17T15:54:35.141846Z", - "iopub.status.idle": "2024-08-17T15:54:35.144285Z", - "shell.execute_reply": "2024-08-17T15:54:35.144101Z" + "iopub.execute_input": "2024-08-17T17:13:41.891950Z", + "iopub.status.busy": "2024-08-17T17:13:41.891879Z", + "iopub.status.idle": "2024-08-17T17:13:41.894133Z", + "shell.execute_reply": "2024-08-17T17:13:41.893939Z" }, "tags": [ "thebe-init" @@ -1252,15 +1252,15 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": null, "id": "bd70fd5d", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:35.145486Z", - "iopub.status.busy": "2024-08-17T15:54:35.145404Z", - "iopub.status.idle": "2024-08-17T15:54:35.147200Z", - "shell.execute_reply": "2024-08-17T15:54:35.147010Z" + "iopub.execute_input": "2024-08-17T17:13:41.895331Z", + "iopub.status.busy": "2024-08-17T17:13:41.895267Z", + "iopub.status.idle": "2024-08-17T17:13:41.897093Z", + "shell.execute_reply": "2024-08-17T17:13:41.896907Z" }, "tags": [ "thebe-init" @@ -1295,15 +1295,15 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": null, "id": "38b7fc85", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:35.148284Z", - "iopub.status.busy": "2024-08-17T15:54:35.148216Z", - "iopub.status.idle": "2024-08-17T15:54:35.149842Z", - "shell.execute_reply": "2024-08-17T15:54:35.149647Z" + "iopub.execute_input": "2024-08-17T17:13:41.898203Z", + "iopub.status.busy": "2024-08-17T17:13:41.898142Z", + "iopub.status.idle": "2024-08-17T17:13:41.899916Z", + "shell.execute_reply": "2024-08-17T17:13:41.899717Z" }, "tags": [ "thebe-init" @@ -1335,15 +1335,15 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": null, "id": "bf45c299", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:35.150947Z", - "iopub.status.busy": "2024-08-17T15:54:35.150879Z", - "iopub.status.idle": "2024-08-17T15:54:35.152537Z", - "shell.execute_reply": "2024-08-17T15:54:35.152361Z" + "iopub.execute_input": "2024-08-17T17:13:41.900999Z", + "iopub.status.busy": "2024-08-17T17:13:41.900938Z", + "iopub.status.idle": "2024-08-17T17:13:41.902605Z", + "shell.execute_reply": "2024-08-17T17:13:41.902423Z" }, "tags": [ "thebe-init" @@ -1413,132 +1413,21 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": null, "id": "cf3cb47b", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:35.153719Z", - "iopub.status.busy": "2024-08-17T15:54:35.153639Z", - "iopub.status.idle": "2024-08-17T15:54:36.795002Z", - "shell.execute_reply": "2024-08-17T15:54:36.794793Z" + "iopub.execute_input": "2024-08-17T17:13:41.903695Z", + "iopub.status.busy": "2024-08-17T17:13:41.903615Z", + "iopub.status.idle": "2024-08-17T17:13:43.543586Z", + "shell.execute_reply": "2024-08-17T17:13:43.543369Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Iteration 1 Error 8.5648e+00\n", - "Iteration 2 Error 4.2986e+00\n", - "Iteration 3 Error 2.1518e+00\n", - "Iteration 4 Error 1.0731e+00\n", - "Iteration 5 Error 5.3935e-01\n", - "Iteration 6 Error 2.7339e-01\n", - "Iteration 7 Error 1.3959e-01\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Iteration 8 Error 7.1915e-02\n", - "Iteration 9 Error 3.7490e-02\n", - "Iteration 10 Error 1.9937e-02\n", - "Iteration 11 Error 1.0955e-02\n", - "Iteration 12 Error 6.1707e-03\n", - "Iteration 13 Error 3.4384e-03\n", - "Iteration 14 Error 1.9036e-03\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Iteration 15 Error 1.1460e-03\n", - "Iteration 16 Error 7.4978e-04\n", - "Iteration 17 Error 4.7012e-04\n", - "Iteration 18 Error 2.8977e-04\n", - "Iteration 19 Error 2.0676e-04\n", - "Iteration 20 Error 1.5348e-04\n", - "Iteration 21 Error 1.0054e-04\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Iteration 22 Error 6.2570e-05\n", - "Iteration 23 Error 4.4921e-05\n", - "Iteration 24 Error 3.3152e-05\n", - "Iteration 25 Error 2.1942e-05\n", - "Iteration 26 Error 1.4881e-05\n", - "Iteration 27 Error 1.1424e-05\n", - "Iteration 28 Error 8.2461e-06\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Iteration 29 Error 5.3494e-06\n", - "Iteration 30 Error 3.7853e-06\n", - "Iteration 31 Error 2.9557e-06\n", - "Iteration 32 Error 2.0822e-06\n", - "Iteration 33 Error 1.3564e-06\n", - "Iteration 34 Error 9.9917e-07\n", - "Iteration 35 Error 7.7367e-07\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Iteration 36 Error 5.3417e-07\n", - "Iteration 37 Error 3.5675e-07\n", - "Iteration 38 Error 2.6857e-07\n", - "Iteration 39 Error 2.0222e-07\n", - "Iteration 40 Error 1.3839e-07\n", - "Iteration 41 Error 9.6097e-08\n", - "Iteration 42 Error 7.2519e-08\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Iteration 43 Error 5.2854e-08\n", - "Iteration 44 Error 3.6492e-08\n", - "Iteration 45 Error 2.6314e-08\n", - "Iteration 46 Error 1.9563e-08\n", - "Iteration 47 Error 1.3930e-08\n", - "Iteration 48 Error 9.8734e-09\n" - ] - }, - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 15, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "converged = False\n", "count = 0\n", diff --git a/docs/demos/Functions/functions.ipynb b/docs/demos/Functions/functions.ipynb index d7008788..efe81ea4 100644 --- a/docs/demos/Functions/functions.ipynb +++ b/docs/demos/Functions/functions.ipynb @@ -66,15 +66,15 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "id": "f17eb498", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:48.441625Z", - "iopub.status.busy": "2024-08-17T15:54:48.441478Z", - "iopub.status.idle": "2024-08-17T15:54:48.786379Z", - "shell.execute_reply": "2024-08-17T15:54:48.786064Z" + "iopub.execute_input": "2024-08-17T17:13:55.397153Z", + "iopub.status.busy": "2024-08-17T17:13:55.396837Z", + "iopub.status.idle": "2024-08-17T17:13:55.759178Z", + "shell.execute_reply": "2024-08-17T17:13:55.758858Z" }, "tags": [ "thebe-init" @@ -100,15 +100,15 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "id": "b77b3fc9", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:48.787946Z", - "iopub.status.busy": "2024-08-17T15:54:48.787815Z", - "iopub.status.idle": "2024-08-17T15:54:48.789503Z", - "shell.execute_reply": "2024-08-17T15:54:48.789285Z" + "iopub.execute_input": "2024-08-17T17:13:55.760763Z", + "iopub.status.busy": "2024-08-17T17:13:55.760628Z", + "iopub.status.idle": "2024-08-17T17:13:55.762363Z", + "shell.execute_reply": "2024-08-17T17:13:55.762153Z" }, "tags": [ "thebe-init" @@ -133,15 +133,15 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": null, "id": "8ec4daad", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:48.790632Z", - "iopub.status.busy": "2024-08-17T15:54:48.790559Z", - "iopub.status.idle": "2024-08-17T15:54:48.792288Z", - "shell.execute_reply": "2024-08-17T15:54:48.792096Z" + "iopub.execute_input": "2024-08-17T17:13:55.763630Z", + "iopub.status.busy": "2024-08-17T17:13:55.763547Z", + "iopub.status.idle": "2024-08-17T17:13:55.765352Z", + "shell.execute_reply": "2024-08-17T17:13:55.765136Z" }, "tags": [ "thebe-init" @@ -192,15 +192,15 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "id": "761f5f53", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:48.793514Z", - "iopub.status.busy": "2024-08-17T15:54:48.793445Z", - "iopub.status.idle": "2024-08-17T15:54:48.795014Z", - "shell.execute_reply": "2024-08-17T15:54:48.794811Z" + "iopub.execute_input": "2024-08-17T17:13:55.766568Z", + "iopub.status.busy": "2024-08-17T17:13:55.766497Z", + "iopub.status.idle": "2024-08-17T17:13:55.768202Z", + "shell.execute_reply": "2024-08-17T17:13:55.768013Z" }, "tags": [ "thebe-init" @@ -226,30 +226,21 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": null, "id": "b9ad36a9", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:48.796182Z", - "iopub.status.busy": "2024-08-17T15:54:48.796098Z", - "iopub.status.idle": "2024-08-17T15:54:48.801188Z", - "shell.execute_reply": "2024-08-17T15:54:48.800994Z" + "iopub.execute_input": "2024-08-17T17:13:55.769328Z", + "iopub.status.busy": "2024-08-17T17:13:55.769247Z", + "iopub.status.idle": "2024-08-17T17:13:55.774307Z", + "shell.execute_reply": "2024-08-17T17:13:55.774129Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[-8.32667268e-17 -5.47405982e-17 2.38204300e-17 1.00000000e+00\n", - " 0.00000000e+00 -3.20040096e-16 1.60078838e-16 -2.93881977e-16]\n" - ] - } - ], + "outputs": [], "source": [ "import sympy as sp\n", "x = sp.Symbol('x', real=True)\n", @@ -418,15 +409,15 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": null, "id": "6b3431b4", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:48.802694Z", - "iopub.status.busy": "2024-08-17T15:54:48.802621Z", - "iopub.status.idle": "2024-08-17T15:54:48.804268Z", - "shell.execute_reply": "2024-08-17T15:54:48.804076Z" + "iopub.execute_input": "2024-08-17T17:13:55.775792Z", + "iopub.status.busy": "2024-08-17T17:13:55.775722Z", + "iopub.status.idle": "2024-08-17T17:13:55.777354Z", + "shell.execute_reply": "2024-08-17T17:13:55.777171Z" }, "tags": [ "thebe-init" @@ -452,29 +443,21 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": null, "id": "9a55e6d5", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:48.805327Z", - "iopub.status.busy": "2024-08-17T15:54:48.805260Z", - "iopub.status.idle": "2024-08-17T15:54:48.830915Z", - "shell.execute_reply": "2024-08-17T15:54:48.830735Z" + "iopub.execute_input": "2024-08-17T17:13:55.778430Z", + "iopub.status.busy": "2024-08-17T17:13:55.778356Z", + "iopub.status.idle": "2024-08-17T17:13:55.804292Z", + "shell.execute_reply": "2024-08-17T17:13:55.804110Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "45\n" - ] - } - ], + "outputs": [], "source": [ "u = Function(T, buffer=sp.cos(20*x))\n", "print(len(u))" @@ -496,29 +479,21 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": null, "id": "d6cdcdb9", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:48.832014Z", - "iopub.status.busy": "2024-08-17T15:54:48.831946Z", - "iopub.status.idle": "2024-08-17T15:54:48.833406Z", - "shell.execute_reply": "2024-08-17T15:54:48.833227Z" + "iopub.execute_input": "2024-08-17T17:13:55.805485Z", + "iopub.status.busy": "2024-08-17T17:13:55.805416Z", + "iopub.status.idle": "2024-08-17T17:13:55.806926Z", + "shell.execute_reply": "2024-08-17T17:13:55.806714Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "45\n" - ] - } - ], + "outputs": [], "source": [ "Tu = u.function_space()\n", "print(Tu.N)" @@ -537,29 +512,21 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": null, "id": "f3f6e277", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:48.834439Z", - "iopub.status.busy": "2024-08-17T15:54:48.834371Z", - "iopub.status.idle": "2024-08-17T15:54:48.860561Z", - "shell.execute_reply": "2024-08-17T15:54:48.860371Z" + "iopub.execute_input": "2024-08-17T17:13:55.808004Z", + "iopub.status.busy": "2024-08-17T17:13:55.807941Z", + "iopub.status.idle": "2024-08-17T17:13:55.834861Z", + "shell.execute_reply": "2024-08-17T17:13:55.834662Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "83\n" - ] - } - ], + "outputs": [], "source": [ "T1 = FunctionSpace(0, 'Chebyshev', domain=(0, 100))\n", "u = Function(T1, buffer=sp.besselj(0, x))\n", @@ -581,29 +548,21 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": null, "id": "f909dbb0", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:48.861660Z", - "iopub.status.busy": "2024-08-17T15:54:48.861594Z", - "iopub.status.idle": "2024-08-17T15:54:48.869713Z", - "shell.execute_reply": "2024-08-17T15:54:48.869520Z" + "iopub.execute_input": "2024-08-17T17:13:55.835969Z", + "iopub.status.busy": "2024-08-17T17:13:55.835901Z", + "iopub.status.idle": "2024-08-17T17:13:55.844044Z", + "shell.execute_reply": "2024-08-17T17:13:55.843861Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "87\n" - ] - } - ], + "outputs": [], "source": [ "u = Function(T1, buffer=sp.besselj(0, x), reltol=1e-14)\n", "print(len(u))" @@ -622,32 +581,21 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": null, "id": "24ce622f", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:48.870832Z", - "iopub.status.busy": "2024-08-17T15:54:48.870762Z", - "iopub.status.idle": "2024-08-17T15:54:49.054414Z", - "shell.execute_reply": "2024-08-17T15:54:49.054184Z" + "iopub.execute_input": "2024-08-17T17:13:55.845166Z", + "iopub.status.busy": "2024-08-17T17:13:55.845100Z", + "iopub.status.idle": "2024-08-17T17:13:56.018896Z", + "shell.execute_reply": "2024-08-17T17:13:56.018654Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "data": { - "image/png": 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", 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "xj = np.linspace(0, 100, 1000)\n", "plt.plot(xj, u(xj));" @@ -713,32 +650,21 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": null, "id": "39cb107e", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:49.101138Z", - "iopub.status.busy": "2024-08-17T15:54:49.101032Z", - "iopub.status.idle": "2024-08-17T15:54:49.258878Z", - "shell.execute_reply": "2024-08-17T15:54:49.258629Z" + "iopub.execute_input": "2024-08-17T17:13:56.062086Z", + "iopub.status.busy": "2024-08-17T17:13:56.062010Z", + "iopub.status.idle": "2024-08-17T17:13:56.218771Z", + "shell.execute_reply": "2024-08-17T17:13:56.218569Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "data": { - "image/png": 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", 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0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00\n", - " 0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00\n", - " 0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00\n", - " 0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00\n", - " 0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00]\n" - ] - } - ], + "outputs": [], "source": [ "print(up)" ] @@ -850,15 +719,15 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": null, "id": "ef085fb4", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:49.263587Z", - "iopub.status.busy": "2024-08-17T15:54:49.263515Z", - "iopub.status.idle": "2024-08-17T15:54:49.265033Z", - "shell.execute_reply": "2024-08-17T15:54:49.264815Z" + "iopub.execute_input": "2024-08-17T17:13:56.223373Z", + "iopub.status.busy": "2024-08-17T17:13:56.223303Z", + "iopub.status.idle": "2024-08-17T17:13:56.224828Z", + "shell.execute_reply": "2024-08-17T17:13:56.224633Z" }, "tags": [ "thebe-init" @@ -887,15 +756,15 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": null, "id": "66dcc5f2", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:49.266173Z", - "iopub.status.busy": "2024-08-17T15:54:49.266107Z", - "iopub.status.idle": "2024-08-17T15:54:49.268990Z", - "shell.execute_reply": "2024-08-17T15:54:49.268793Z" + "iopub.execute_input": "2024-08-17T17:13:56.225940Z", + "iopub.status.busy": "2024-08-17T17:13:56.225872Z", + "iopub.status.idle": "2024-08-17T17:13:56.228743Z", + "shell.execute_reply": "2024-08-17T17:13:56.228546Z" }, "tags": [ "thebe-init" @@ -921,29 +790,21 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": null, "id": "33dc7c82", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:49.270167Z", - "iopub.status.busy": "2024-08-17T15:54:49.270102Z", - "iopub.status.idle": "2024-08-17T15:54:49.271751Z", - "shell.execute_reply": "2024-08-17T15:54:49.271551Z" + "iopub.execute_input": "2024-08-17T17:13:56.229889Z", + "iopub.status.busy": "2024-08-17T17:13:56.229826Z", + "iopub.status.idle": "2024-08-17T17:13:56.231392Z", + "shell.execute_reply": "2024-08-17T17:13:56.231161Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[ 2.40482556 5.52007811 8.65372791 11.79153444 14.93091771]\n" - ] - } - ], + "outputs": [], "source": [ "z2 = z[np.where((z.imag == 0)*(z.real > 0)*(z.real < 100))].real\n", "print(z2[:5])" @@ -972,29 +833,21 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": null, "id": "23287700", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:49.272773Z", - "iopub.status.busy": "2024-08-17T15:54:49.272703Z", - "iopub.status.idle": "2024-08-17T15:54:49.299716Z", - "shell.execute_reply": "2024-08-17T15:54:49.299462Z" + "iopub.execute_input": "2024-08-17T17:13:56.232401Z", + "iopub.status.busy": "2024-08-17T17:13:56.232340Z", + "iopub.status.idle": "2024-08-17T17:13:56.257363Z", + "shell.execute_reply": "2024-08-17T17:13:56.257143Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "82\n" - ] - } - ], + "outputs": [], "source": [ "Td = FunctionSpace(0, 'C', bc=(sp.besselj(0, 0), sp.besselj(0, 100)), domain=(0, 100))\n", "ud = Function(Td, buffer=sp.besselj(0, x))\n", @@ -1034,15 +887,15 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": null, "id": "00e8b329", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:49.301131Z", - "iopub.status.busy": "2024-08-17T15:54:49.301041Z", - "iopub.status.idle": "2024-08-17T15:54:49.319841Z", - "shell.execute_reply": "2024-08-17T15:54:49.319570Z" + "iopub.execute_input": "2024-08-17T17:13:56.258529Z", + "iopub.status.busy": "2024-08-17T17:13:56.258458Z", + "iopub.status.idle": "2024-08-17T17:13:56.277153Z", + "shell.execute_reply": "2024-08-17T17:13:56.276929Z" }, "tags": [ "thebe-init" @@ -1092,32 +945,21 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": null, "id": "f8c1a6c4", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:49.321136Z", - "iopub.status.busy": "2024-08-17T15:54:49.321059Z", - "iopub.status.idle": "2024-08-17T15:54:49.401583Z", - "shell.execute_reply": "2024-08-17T15:54:49.401339Z" + "iopub.execute_input": "2024-08-17T17:13:56.278333Z", + "iopub.status.busy": "2024-08-17T17:13:56.278267Z", + "iopub.status.idle": "2024-08-17T17:13:56.351361Z", + "shell.execute_reply": "2024-08-17T17:13:56.351145Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "y = sp.Symbol('y', real=True)\n", "u = Function(T, buffer=sp.cos(10*x)*sp.cos(10*y))\n", @@ -1142,32 +984,21 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": null, "id": "6f50c502", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:49.402874Z", - "iopub.status.busy": "2024-08-17T15:54:49.402797Z", - "iopub.status.idle": "2024-08-17T15:54:49.510223Z", - "shell.execute_reply": "2024-08-17T15:54:49.509994Z" + "iopub.execute_input": "2024-08-17T17:13:56.352598Z", + "iopub.status.busy": "2024-08-17T17:13:56.352519Z", + "iopub.status.idle": "2024-08-17T17:13:56.463167Z", + "shell.execute_reply": "2024-08-17T17:13:56.462941Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "X = T.mesh()\n", "for xj in X[0]:\n", @@ -1188,32 +1019,21 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": null, "id": "f40fd289", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:49.511523Z", - "iopub.status.busy": "2024-08-17T15:54:49.511446Z", - "iopub.status.idle": "2024-08-17T15:54:49.556485Z", - "shell.execute_reply": "2024-08-17T15:54:49.556277Z" + "iopub.execute_input": "2024-08-17T17:13:56.464526Z", + "iopub.status.busy": "2024-08-17T17:13:56.464430Z", + "iopub.status.idle": "2024-08-17T17:13:56.513838Z", + "shell.execute_reply": "2024-08-17T17:13:56.513620Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "X = T.local_mesh(bcast=True, kind='uniform')\n", "plt.contourf(X[0], X[1], u.backward(mesh='uniform'));" @@ -1266,15 +1086,15 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": null, "id": "abe72e5b", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:49.557932Z", - "iopub.status.busy": "2024-08-17T15:54:49.557846Z", - "iopub.status.idle": "2024-08-17T15:54:49.685877Z", - "shell.execute_reply": "2024-08-17T15:54:49.685574Z" + "iopub.execute_input": "2024-08-17T17:13:56.515246Z", + "iopub.status.busy": "2024-08-17T17:13:56.515150Z", + "iopub.status.idle": "2024-08-17T17:13:56.649260Z", + "shell.execute_reply": "2024-08-17T17:13:56.648849Z" }, "tags": [ "thebe-init" @@ -1304,15 +1124,15 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": null, "id": "0a65ffc2", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:49.687338Z", - "iopub.status.busy": "2024-08-17T15:54:49.687252Z", - "iopub.status.idle": "2024-08-17T15:54:49.694000Z", - "shell.execute_reply": "2024-08-17T15:54:49.693744Z" + "iopub.execute_input": "2024-08-17T17:13:56.650820Z", + "iopub.status.busy": "2024-08-17T17:13:56.650714Z", + "iopub.status.idle": "2024-08-17T17:13:56.659577Z", + "shell.execute_reply": "2024-08-17T17:13:56.659306Z" }, "tags": [ "thebe-init" @@ -1335,32 +1155,21 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": null, "id": "c32f1808", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:49.695317Z", - "iopub.status.busy": "2024-08-17T15:54:49.695243Z", - "iopub.status.idle": "2024-08-17T15:54:49.737636Z", - "shell.execute_reply": "2024-08-17T15:54:49.737417Z" + "iopub.execute_input": "2024-08-17T17:13:56.660914Z", + "iopub.status.busy": "2024-08-17T17:13:56.660840Z", + "iopub.status.idle": "2024-08-17T17:13:56.703755Z", + "shell.execute_reply": "2024-08-17T17:13:56.703552Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "X = T.local_mesh(True)\n", "plt.contourf(X[0], X[1], u.backward(), 100);" @@ -1380,32 +1189,21 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": null, "id": "a42a0a42", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:49.738874Z", - "iopub.status.busy": "2024-08-17T15:54:49.738800Z", - "iopub.status.idle": "2024-08-17T15:54:49.788592Z", - "shell.execute_reply": "2024-08-17T15:54:49.788387Z" + "iopub.execute_input": "2024-08-17T17:13:56.704890Z", + "iopub.status.busy": "2024-08-17T17:13:56.704818Z", + "iopub.status.idle": "2024-08-17T17:13:56.754770Z", + "shell.execute_reply": "2024-08-17T17:13:56.754539Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "X = T.local_cartesian_mesh()\n", "plt.contourf(X[0], X[1], u.backward(), 100);" @@ -1428,32 +1226,21 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": null, "id": "b9f6cc53", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:49.789824Z", - "iopub.status.busy": "2024-08-17T15:54:49.789742Z", - "iopub.status.idle": "2024-08-17T15:54:49.837308Z", - "shell.execute_reply": "2024-08-17T15:54:49.837102Z" + "iopub.execute_input": "2024-08-17T17:13:56.756016Z", + "iopub.status.busy": "2024-08-17T17:13:56.755938Z", + "iopub.status.idle": "2024-08-17T17:13:56.804905Z", + "shell.execute_reply": "2024-08-17T17:13:56.804689Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "up = u.backward()\n", "xp, yp, up = wrap_periodic([X[0], X[1], up], axes=[1])\n", @@ -1476,29 +1263,21 @@ }, { "cell_type": "code", - "execution_count": 28, + "execution_count": null, "id": "f896255d", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:49.838528Z", - "iopub.status.busy": "2024-08-17T15:54:49.838458Z", - "iopub.status.idle": "2024-08-17T15:54:49.904340Z", - "shell.execute_reply": "2024-08-17T15:54:49.904132Z" + "iopub.execute_input": "2024-08-17T17:13:56.806108Z", + "iopub.status.busy": "2024-08-17T17:13:56.806027Z", + "iopub.status.idle": "2024-08-17T17:13:56.869158Z", + "shell.execute_reply": "2024-08-17T17:13:56.868951Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "(5, 12)\n" - ] - } - ], + "outputs": [], "source": [ "B0 = FunctionSpace(0, 'C', domain=(0, 1))\n", "F0 = FunctionSpace(0, 'F')\n", diff --git a/docs/demos/Integration/surfaceintegration.ipynb b/docs/demos/Integration/surfaceintegration.ipynb index 05b6f04e..45283e78 100644 --- a/docs/demos/Integration/surfaceintegration.ipynb +++ b/docs/demos/Integration/surfaceintegration.ipynb @@ -120,29 +120,21 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "id": "239b46e9", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:51.780303Z", - "iopub.status.busy": "2024-08-17T15:54:51.780207Z", - "iopub.status.idle": "2024-08-17T15:54:52.155181Z", - "shell.execute_reply": "2024-08-17T15:54:52.154935Z" + "iopub.execute_input": "2024-08-17T17:13:58.636970Z", + "iopub.status.busy": "2024-08-17T17:13:58.636860Z", + "iopub.status.idle": "2024-08-17T17:13:58.983413Z", + "shell.execute_reply": "2024-08-17T17:13:58.983194Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Length of domain = 1.0000000000000002\n" - ] - } - ], + "outputs": [], "source": [ "from shenfun import *\n", "B = FunctionSpace(10, 'C', domain=(0, 1))\n", @@ -171,29 +163,21 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "id": "c247086b", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:52.156590Z", - "iopub.status.busy": "2024-08-17T15:54:52.156447Z", - "iopub.status.idle": "2024-08-17T15:54:52.161633Z", - "shell.execute_reply": "2024-08-17T15:54:52.161407Z" + "iopub.execute_input": "2024-08-17T17:13:58.984822Z", + "iopub.status.busy": "2024-08-17T17:13:58.984669Z", + "iopub.status.idle": "2024-08-17T17:13:58.989770Z", + "shell.execute_reply": "2024-08-17T17:13:58.989551Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Area of domain = 6.283185307179587\n" - ] - } - ], + "outputs": [], "source": [ "F = FunctionSpace(10, 'F', domain=(0, 2*np.pi))\n", "T = TensorProductSpace(comm, (B, F))\n", @@ -275,15 +259,15 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": null, "id": "ab2ff2d7", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:52.163048Z", - "iopub.status.busy": "2024-08-17T15:54:52.162973Z", - "iopub.status.idle": "2024-08-17T15:54:52.322462Z", - "shell.execute_reply": "2024-08-17T15:54:52.322140Z" + "iopub.execute_input": "2024-08-17T17:13:58.991170Z", + "iopub.status.busy": "2024-08-17T17:13:58.991090Z", + "iopub.status.idle": "2024-08-17T17:13:59.149786Z", + "shell.execute_reply": "2024-08-17T17:13:59.149501Z" }, "tags": [ "thebe-init" @@ -312,29 +296,21 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "id": "b86162bf", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:52.323929Z", - "iopub.status.busy": "2024-08-17T15:54:52.323839Z", - "iopub.status.idle": "2024-08-17T15:54:52.393237Z", - "shell.execute_reply": "2024-08-17T15:54:52.393007Z" + "iopub.execute_input": "2024-08-17T17:13:59.151139Z", + "iopub.status.busy": "2024-08-17T17:13:59.151065Z", + "iopub.status.idle": "2024-08-17T17:13:59.221209Z", + "shell.execute_reply": "2024-08-17T17:13:59.221010Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Length of spiral = 12.95311834341519\n" - ] - } - ], + "outputs": [], "source": [ "length = inner(1, Array(C, val=1))\n", "print('Length of spiral =', length)" @@ -353,32 +329,21 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": null, "id": "0d9a6b65", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:52.394462Z", - "iopub.status.busy": "2024-08-17T15:54:52.394384Z", - "iopub.status.idle": "2024-08-17T15:54:52.588407Z", - "shell.execute_reply": "2024-08-17T15:54:52.588179Z" + "iopub.execute_input": "2024-08-17T17:13:59.222401Z", + "iopub.status.busy": "2024-08-17T17:13:59.222319Z", + "iopub.status.idle": "2024-08-17T17:13:59.432862Z", + "shell.execute_reply": "2024-08-17T17:13:59.432516Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "%matplotlib inline\n", "\n", @@ -404,32 +369,21 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": null, "id": "b12c0f09", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:52.589691Z", - "iopub.status.busy": "2024-08-17T15:54:52.589542Z", - "iopub.status.idle": "2024-08-17T15:54:52.591561Z", - "shell.execute_reply": "2024-08-17T15:54:52.591381Z" + "iopub.execute_input": "2024-08-17T17:13:59.434613Z", + "iopub.status.busy": "2024-08-17T17:13:59.434389Z", + "iopub.status.idle": "2024-08-17T17:13:59.436702Z", + "shell.execute_reply": "2024-08-17T17:13:59.436389Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "data": { - "text/plain": [ - "2.0615528128088303" - ] - }, - "execution_count": 6, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "C.coors.sg" ] @@ -459,32 +413,21 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": null, "id": "70f98c31", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:52.592740Z", - "iopub.status.busy": "2024-08-17T15:54:52.592672Z", - "iopub.status.idle": "2024-08-17T15:54:52.595270Z", - "shell.execute_reply": "2024-08-17T15:54:52.595084Z" + "iopub.execute_input": "2024-08-17T17:13:59.438069Z", + "iopub.status.busy": "2024-08-17T17:13:59.437977Z", + "iopub.status.idle": "2024-08-17T17:13:59.440767Z", + "shell.execute_reply": "2024-08-17T17:13:59.440541Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "data": { - "text/plain": [ - "5.026517292599667" - ] - }, - "execution_count": 7, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "inner(1, Array(C, buffer=sp.sin(rv[0])**2))" ] @@ -501,44 +444,21 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": null, "id": "feb65bc7", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:52.596456Z", - "iopub.status.busy": "2024-08-17T15:54:52.596373Z", - "iopub.status.idle": "2024-08-17T15:54:52.598230Z", - "shell.execute_reply": "2024-08-17T15:54:52.598048Z" + "iopub.execute_input": "2024-08-17T17:13:59.442174Z", + "iopub.status.busy": "2024-08-17T17:13:59.442071Z", + "iopub.status.idle": "2024-08-17T17:13:59.443979Z", + "shell.execute_reply": "2024-08-17T17:13:59.443764Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "data": { - "text/html": [ - "\n", - " \n", - " " - ], - "text/plain": [ - "" - ] - }, - "execution_count": 8, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "from IPython.display import IFrame\n", "IFrame(\"https://www.wolframalpha.com/input/?i=integrate+sin%5E2%28sin%282t%29%29+sqrt%284.25%29+from+t%3D0+to+2pi\", width=\"500px\", height=\"350px\")" @@ -675,15 +595,15 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": null, "id": "5a4c60c4", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:52.599697Z", - "iopub.status.busy": "2024-08-17T15:54:52.599626Z", - "iopub.status.idle": "2024-08-17T15:54:52.720035Z", - "shell.execute_reply": "2024-08-17T15:54:52.719722Z" + "iopub.execute_input": "2024-08-17T17:13:59.445695Z", + "iopub.status.busy": "2024-08-17T17:13:59.445607Z", + "iopub.status.idle": "2024-08-17T17:13:59.569620Z", + "shell.execute_reply": "2024-08-17T17:13:59.569270Z" }, "tags": [ "thebe-init" @@ -715,15 +635,15 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": null, "id": "8bd8dca7", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:52.721374Z", - "iopub.status.busy": "2024-08-17T15:54:52.721280Z", - "iopub.status.idle": "2024-08-17T15:54:52.800676Z", - "shell.execute_reply": "2024-08-17T15:54:52.800366Z" + "iopub.execute_input": "2024-08-17T17:13:59.571043Z", + "iopub.status.busy": "2024-08-17T17:13:59.570961Z", + "iopub.status.idle": "2024-08-17T17:13:59.651656Z", + "shell.execute_reply": "2024-08-17T17:13:59.651193Z" }, "tags": [ "thebe-init" @@ -746,15 +666,15 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": null, "id": "10a07f12", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:52.802045Z", - "iopub.status.busy": "2024-08-17T15:54:52.801964Z", - "iopub.status.idle": "2024-08-17T15:54:52.804622Z", - "shell.execute_reply": "2024-08-17T15:54:52.804432Z" + "iopub.execute_input": "2024-08-17T17:13:59.653305Z", + "iopub.status.busy": "2024-08-17T17:13:59.653224Z", + "iopub.status.idle": "2024-08-17T17:13:59.655982Z", + "shell.execute_reply": "2024-08-17T17:13:59.655761Z" }, "tags": [ "thebe-init" @@ -777,29 +697,21 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": null, "id": "7b8f9179", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:52.805758Z", - "iopub.status.busy": "2024-08-17T15:54:52.805687Z", - "iopub.status.idle": "2024-08-17T15:54:52.807121Z", - "shell.execute_reply": "2024-08-17T15:54:52.806911Z" + "iopub.execute_input": "2024-08-17T17:13:59.657228Z", + "iopub.status.busy": "2024-08-17T17:13:59.657154Z", + "iopub.status.idle": "2024-08-17T17:13:59.658776Z", + "shell.execute_reply": "2024-08-17T17:13:59.658569Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Error = 7.459207029825166e-08\n" - ] - } - ], + "outputs": [], "source": [ "print('Error =', abs(I-4*np.pi/3))" ] @@ -817,29 +729,21 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": null, "id": "6ac0a284", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:52.808191Z", - "iopub.status.busy": "2024-08-17T15:54:52.808122Z", - "iopub.status.idle": "2024-08-17T15:54:52.886198Z", - "shell.execute_reply": "2024-08-17T15:54:52.885977Z" + "iopub.execute_input": "2024-08-17T17:13:59.659990Z", + "iopub.status.busy": "2024-08-17T17:13:59.659925Z", + "iopub.status.idle": "2024-08-17T17:13:59.743329Z", + "shell.execute_reply": "2024-08-17T17:13:59.743074Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Error = 0.0\n" - ] - } - ], + "outputs": [], "source": [ "T = T.get_refined(2*np.array(f.global_shape))\n", "f = Array(T, buffer=rv[0]**2)\n", @@ -862,29 +766,21 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": null, "id": "dc0793f7", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:52.887450Z", - "iopub.status.busy": "2024-08-17T15:54:52.887377Z", - "iopub.status.idle": "2024-08-17T15:54:52.888976Z", - "shell.execute_reply": "2024-08-17T15:54:52.888809Z" + "iopub.execute_input": "2024-08-17T17:13:59.744785Z", + "iopub.status.busy": "2024-08-17T17:13:59.744706Z", + "iopub.status.idle": "2024-08-17T17:13:59.746399Z", + "shell.execute_reply": "2024-08-17T17:13:59.746216Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "sin(x)\n" - ] - } - ], + "outputs": [], "source": [ "print(T.coors.sg)" ] @@ -909,35 +805,21 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": null, "id": "985cee68", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:52.890069Z", - "iopub.status.busy": "2024-08-17T15:54:52.889998Z", - "iopub.status.idle": "2024-08-17T15:54:52.892360Z", - "shell.execute_reply": "2024-08-17T15:54:52.892153Z" + "iopub.execute_input": "2024-08-17T17:13:59.747517Z", + "iopub.status.busy": "2024-08-17T17:13:59.747442Z", + "iopub.status.idle": "2024-08-17T17:13:59.749862Z", + "shell.execute_reply": "2024-08-17T17:13:59.749650Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle \\mathbf{b}_{\\theta} =\\cos{\\left(\\theta \\right)} \\cos{\\left(\\phi \\right)}\\,\\mathbf{i}+\\sin{\\left(\\phi \\right)} \\cos{\\left(\\theta \\right)}\\,\\mathbf{j}- \\sin{\\left(\\theta \\right)}\\,\\mathbf{k} \\\\ \\mathbf{b}_{\\phi} =- \\sin{\\left(\\theta \\right)} \\sin{\\left(\\phi \\right)}\\,\\mathbf{i}+\\sin{\\left(\\theta \\right)} \\cos{\\left(\\phi \\right)}\\,\\mathbf{j} \\\\ $" - ], - "text/plain": [ - "" - ] - }, - "execution_count": 15, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "from IPython.display import Math\n", "Math(T.coors.latex_basis_vectors(symbol_names={theta: '\\\\theta', phi: '\\\\phi'}))" @@ -1017,29 +899,21 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": null, "id": "40e3a695", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:52.893670Z", - "iopub.status.busy": "2024-08-17T15:54:52.893600Z", - "iopub.status.idle": "2024-08-17T15:54:52.992941Z", - "shell.execute_reply": "2024-08-17T15:54:52.992689Z" + "iopub.execute_input": "2024-08-17T17:13:59.751165Z", + "iopub.status.busy": "2024-08-17T17:13:59.751098Z", + "iopub.status.idle": "2024-08-17T17:13:59.853175Z", + "shell.execute_reply": "2024-08-17T17:13:59.852924Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Error = 1.7763568394002505e-15\n" - ] - } - ], + "outputs": [], "source": [ "u, v = psi =sp.symbols('x,y', real=True, positive=True)\n", "rv = (u*sp.cos(v), u*sp.sin(v), v)\n", @@ -1062,29 +936,21 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": null, "id": "dc0793f7_1", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:53.005767Z", - "iopub.status.busy": "2024-08-17T15:54:53.005646Z", - "iopub.status.idle": "2024-08-17T15:54:53.007381Z", - "shell.execute_reply": "2024-08-17T15:54:53.007170Z" + "iopub.execute_input": "2024-08-17T17:13:59.854483Z", + "iopub.status.busy": "2024-08-17T17:13:59.854402Z", + "iopub.status.idle": "2024-08-17T17:13:59.856093Z", + "shell.execute_reply": "2024-08-17T17:13:59.855891Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "sqrt(x**2 + 1)\n" - ] - } - ], + "outputs": [], "source": [ "print(T.coors.sg)" ] @@ -1158,29 +1024,21 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": null, "id": "89c0e257", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:53.008653Z", - "iopub.status.busy": "2024-08-17T15:54:53.008584Z", - "iopub.status.idle": "2024-08-17T15:54:55.093876Z", - "shell.execute_reply": "2024-08-17T15:54:55.093593Z" + "iopub.execute_input": "2024-08-17T17:13:59.857398Z", + "iopub.status.busy": "2024-08-17T17:13:59.857327Z", + "iopub.status.idle": "2024-08-17T17:14:01.959040Z", + "shell.execute_reply": "2024-08-17T17:14:01.958816Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "-6030.788147086099\n" - ] - } - ], + "outputs": [], "source": [ "rv = (5*(1-v/(2*sp.pi))*sp.cos(2*v)*(1+sp.cos(u))/4 + sp.cos(2*v),\n", " 5*(1-v/(2*sp.pi))*sp.sin(2*v)*(1+sp.cos(u))/4 + sp.sin(2*v),\n", @@ -1209,35 +1067,21 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": null, "id": "60cc5783", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:55.095280Z", - "iopub.status.busy": "2024-08-17T15:54:55.095195Z", - "iopub.status.idle": "2024-08-17T15:54:55.099274Z", - "shell.execute_reply": "2024-08-17T15:54:55.099074Z" + "iopub.execute_input": "2024-08-17T17:14:01.960490Z", + "iopub.status.busy": "2024-08-17T17:14:01.960402Z", + "iopub.status.idle": "2024-08-17T17:14:01.964591Z", + "shell.execute_reply": "2024-08-17T17:14:01.964388Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle \\mathbf{b}_{u} =\\frac{5 \\left(v - 2 \\pi\\right) \\sin{\\left(u \\right)} \\cos{\\left(2 v \\right)}}{8 \\pi}\\,\\mathbf{i}+\\frac{5 \\left(v - 2 \\pi\\right) \\sin{\\left(u \\right)} \\sin{\\left(2 v \\right)}}{8 \\pi}\\,\\mathbf{j}+\\frac{5 \\left(- v + 2 \\pi\\right) \\cos{\\left(u \\right)}}{8 \\pi}\\,\\mathbf{k} \\\\ \\mathbf{b}_{v} =\\frac{\\left(10 v - 20 \\pi\\right) \\left(\\cos{\\left(u \\right)} + 1\\right) \\sin{\\left(2 v \\right)} - 5 \\left(\\cos{\\left(u \\right)} + 1\\right) \\cos{\\left(2 v \\right)} - 16 \\pi \\sin{\\left(2 v \\right)}}{8 \\pi}\\,\\mathbf{i}+\\frac{\\left(- 10 v + 20 \\pi\\right) \\left(\\cos{\\left(u \\right)} + 1\\right) \\cos{\\left(2 v \\right)} - 5 \\left(\\cos{\\left(u \\right)} + 1\\right) \\sin{\\left(2 v \\right)} + 16 \\pi \\cos{\\left(2 v \\right)}}{8 \\pi}\\,\\mathbf{j}+\\frac{5 \\cdot \\left(8 - \\sin{\\left(u \\right)}\\right)}{8 \\pi}\\,\\mathbf{k} \\\\ $" - ], - "text/plain": [ - "" - ] - }, - "execution_count": 19, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "Math(T.coors.latex_basis_vectors(symbol_names={u: 'u', v: 'v'}))" ] @@ -1260,41770 +1104,21 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": null, "id": "0aceb331", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:55.100427Z", - "iopub.status.busy": "2024-08-17T15:54:55.100353Z", - "iopub.status.idle": "2024-08-17T15:54:55.260460Z", - "shell.execute_reply": "2024-08-17T15:54:55.260233Z" + "iopub.execute_input": "2024-08-17T17:14:01.965813Z", + "iopub.status.busy": "2024-08-17T17:14:01.965728Z", + "iopub.status.idle": "2024-08-17T17:14:02.122584Z", + "shell.execute_reply": "2024-08-17T17:14:02.122279Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "data": { - "text/html": [ - " \n", - " " - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "application/vnd.plotly.v1+json": { - "config": { - "plotlyServerURL": "https://plot.ly" - }, - "data": [ - { - 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "import plotly\n", "fig = surf3D(fb, colorscale=plotly.colors.sequential.Jet)\n", diff --git a/docs/demos/KleinGordon/kleingordon.ipynb b/docs/demos/KleinGordon/kleingordon.ipynb index 3896d68c..c65b2bb6 100644 --- a/docs/demos/KleinGordon/kleingordon.ipynb +++ b/docs/demos/KleinGordon/kleingordon.ipynb @@ -961,15 +961,15 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "id": "82b448d1", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:10.909945Z", - "iopub.status.busy": "2024-08-17T15:54:10.909557Z", - "iopub.status.idle": "2024-08-17T15:54:11.278992Z", - "shell.execute_reply": "2024-08-17T15:54:11.278675Z" + "iopub.execute_input": "2024-08-17T17:13:17.882929Z", + "iopub.status.busy": "2024-08-17T17:13:17.882616Z", + "iopub.status.idle": "2024-08-17T17:13:18.254249Z", + "shell.execute_reply": "2024-08-17T17:13:18.253919Z" }, "tags": [ "thebe-init" @@ -1011,15 +1011,15 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "id": "31bae268", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:11.280484Z", - "iopub.status.busy": "2024-08-17T15:54:11.280351Z", - "iopub.status.idle": "2024-08-17T15:54:11.298135Z", - "shell.execute_reply": "2024-08-17T15:54:11.297912Z" + "iopub.execute_input": "2024-08-17T17:13:18.255844Z", + "iopub.status.busy": "2024-08-17T17:13:18.255696Z", + "iopub.status.idle": "2024-08-17T17:13:18.273853Z", + "shell.execute_reply": "2024-08-17T17:13:18.273635Z" }, "tags": [ "thebe-init" @@ -1053,15 +1053,15 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": null, "id": "7eb29c91", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:11.299465Z", - "iopub.status.busy": "2024-08-17T15:54:11.299383Z", - "iopub.status.idle": "2024-08-17T15:54:11.300918Z", - "shell.execute_reply": "2024-08-17T15:54:11.300717Z" + "iopub.execute_input": "2024-08-17T17:13:18.275090Z", + "iopub.status.busy": "2024-08-17T17:13:18.275020Z", + "iopub.status.idle": "2024-08-17T17:13:18.276587Z", + "shell.execute_reply": "2024-08-17T17:13:18.276365Z" }, "tags": [ "thebe-init" @@ -1092,15 +1092,15 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "id": "ce384d37", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:11.302033Z", - "iopub.status.busy": "2024-08-17T15:54:11.301963Z", - "iopub.status.idle": "2024-08-17T15:54:11.450876Z", - "shell.execute_reply": "2024-08-17T15:54:11.450616Z" + "iopub.execute_input": "2024-08-17T17:13:18.277731Z", + "iopub.status.busy": "2024-08-17T17:13:18.277667Z", + "iopub.status.idle": "2024-08-17T17:13:18.427276Z", + "shell.execute_reply": "2024-08-17T17:13:18.426973Z" }, "tags": [ "thebe-init" @@ -1166,15 +1166,15 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": null, "id": "e982a934", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:11.452167Z", - "iopub.status.busy": "2024-08-17T15:54:11.452094Z", - "iopub.status.idle": "2024-08-17T15:54:11.462236Z", - "shell.execute_reply": "2024-08-17T15:54:11.462027Z" + "iopub.execute_input": "2024-08-17T17:13:18.428668Z", + "iopub.status.busy": "2024-08-17T17:13:18.428580Z", + "iopub.status.idle": "2024-08-17T17:13:18.440348Z", + "shell.execute_reply": "2024-08-17T17:13:18.440123Z" }, "tags": [ "thebe-init" @@ -1219,32 +1219,21 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": null, "id": "1f4ce1d4", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:11.463415Z", - "iopub.status.busy": "2024-08-17T15:54:11.463348Z", - "iopub.status.idle": "2024-08-17T15:54:11.654356Z", - "shell.execute_reply": "2024-08-17T15:54:11.654102Z" + "iopub.execute_input": "2024-08-17T17:13:18.441655Z", + "iopub.status.busy": "2024-08-17T17:13:18.441585Z", + "iopub.status.idle": "2024-08-17T17:13:18.626031Z", + "shell.execute_reply": "2024-08-17T17:13:18.625761Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "%matplotlib inline\n", "\n", @@ -1269,15 +1258,15 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": null, "id": "0547e688", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:11.655722Z", - "iopub.status.busy": "2024-08-17T15:54:11.655567Z", - "iopub.status.idle": "2024-08-17T15:54:11.659445Z", - "shell.execute_reply": "2024-08-17T15:54:11.659230Z" + "iopub.execute_input": "2024-08-17T17:13:18.627397Z", + "iopub.status.busy": "2024-08-17T17:13:18.627247Z", + "iopub.status.idle": "2024-08-17T17:13:18.631148Z", + "shell.execute_reply": "2024-08-17T17:13:18.630940Z" }, "tags": [ "thebe-init" @@ -1331,68 +1320,21 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": null, "id": "b5ab745a", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:11.660646Z", - "iopub.status.busy": "2024-08-17T15:54:11.660565Z", - "iopub.status.idle": "2024-08-17T15:54:14.178385Z", - "shell.execute_reply": "2024-08-17T15:54:14.178170Z" + "iopub.execute_input": "2024-08-17T17:13:18.632303Z", + "iopub.status.busy": "2024-08-17T17:13:18.632236Z", + "iopub.status.idle": "2024-08-17T17:13:21.068731Z", + "shell.execute_reply": "2024-08-17T17:13:21.068485Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Time = 0.05 Total energy = 1.98329923e-05 Linear momentum 6.41776843e-24 Angular momentum -2.92145793e-04 \n", - "Time = 0.10 Total energy = 1.98329923e-05 Linear momentum 1.31537065e-23 Angular momentum -2.80169377e-04 \n", - "Time = 0.15 Total energy = 1.98329923e-05 Linear momentum 2.04515156e-23 Angular momentum -2.61131233e-04 \n", - "Time = 0.20 Total energy = 1.98329923e-05 Linear momentum 2.83828872e-23 Angular momentum -2.36332458e-04 \n", - "Time = 0.25 Total energy = 1.98329923e-05 Linear momentum 3.67402690e-23 Angular momentum -2.07437862e-04 \n", - "Time = 0.30 Total energy = 1.98329923e-05 Linear momentum 4.49016366e-23 Angular momentum -1.76338524e-04 \n", - "Time = 0.35 Total energy = 1.98329923e-05 Linear momentum 5.17681071e-23 Angular momentum -1.45000052e-04 \n", - "Time = 0.40 Total energy = 1.98329923e-05 Linear momentum 5.58209589e-23 Angular momentum -1.15311113e-04 \n", - "Time = 0.45 Total energy = 1.98329923e-05 Linear momentum 5.53427956e-23 Angular momentum -8.89461368e-05 \n", - "Time = 0.50 Total energy = 1.98329923e-05 Linear momentum 4.88007784e-23 Angular momentum -6.72539478e-05 \n", - "Time = 0.55 Total energy = 1.98329923e-05 Linear momentum 3.53297983e-23 Angular momentum -5.11807565e-05 \n", - "Time = 0.60 Total energy = 1.98329923e-05 Linear momentum 1.51949693e-23 Angular momentum -4.12319404e-05 \n", - "Time = 0.65 Total energy = 1.98329923e-05 Linear momentum -9.91091709e-24 Angular momentum -3.74728598e-05 \n", - "Time = 0.70 Total energy = 1.98329923e-05 Linear momentum -3.68655275e-23 Angular momentum -3.95650954e-05 \n", - "Time = 0.75 Total energy = 1.98329923e-05 Linear momentum -6.14798810e-23 Angular momentum -4.68313792e-05 \n", - "Time = 0.80 Total energy = 1.98329923e-05 Linear momentum -7.91996406e-23 Angular momentum -5.83404077e-05 \n", - "Time = 0.85 Total energy = 1.98329923e-05 Linear momentum -8.60127483e-23 Angular momentum -7.30018097e-05 \n", - "Time = 0.90 Total energy = 1.98329923e-05 Linear momentum -7.93726347e-23 Angular momentum -8.96617491e-05 \n", - "Time = 0.95 Total energy = 1.98329923e-05 Linear momentum -5.88953202e-23 Angular momentum -1.07190826e-04 \n", - "Time = 1.00 Total energy = 1.98329923e-05 Linear momentum -2.66496020e-23 Angular momentum -1.24557824e-04 \n", - "\n" - ] - } - ], + "outputs": [], "source": [ "par = {'Compute_energy': 10,\n", " 'plot_tstep': 10,\n", diff --git a/docs/demos/KuramatoSivashinsky/kuramatosivashinsky.ipynb b/docs/demos/KuramatoSivashinsky/kuramatosivashinsky.ipynb index 94531119..5fbeca7d 100644 --- a/docs/demos/KuramatoSivashinsky/kuramatosivashinsky.ipynb +++ b/docs/demos/KuramatoSivashinsky/kuramatosivashinsky.ipynb @@ -606,15 +606,15 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "id": "0c1a7c93", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:26.043788Z", - "iopub.status.busy": "2024-08-17T15:54:26.043704Z", - "iopub.status.idle": "2024-08-17T15:54:26.515711Z", - "shell.execute_reply": "2024-08-17T15:54:26.515404Z" + "iopub.execute_input": "2024-08-17T17:13:32.671264Z", + "iopub.status.busy": "2024-08-17T17:13:32.670693Z", + "iopub.status.idle": "2024-08-17T17:13:33.150562Z", + "shell.execute_reply": "2024-08-17T17:13:33.150245Z" }, "tags": [ "thebe-init" @@ -646,15 +646,15 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "id": "063c35c2", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:26.517373Z", - "iopub.status.busy": "2024-08-17T15:54:26.517179Z", - "iopub.status.idle": "2024-08-17T15:54:27.036103Z", - "shell.execute_reply": "2024-08-17T15:54:27.035768Z" + "iopub.execute_input": "2024-08-17T17:13:33.152172Z", + "iopub.status.busy": "2024-08-17T17:13:33.151978Z", + "iopub.status.idle": "2024-08-17T17:13:33.667315Z", + "shell.execute_reply": "2024-08-17T17:13:33.666979Z" }, "tags": [ "thebe-init" @@ -685,15 +685,15 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": null, "id": "3102955a", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:27.037655Z", - "iopub.status.busy": "2024-08-17T15:54:27.037573Z", - "iopub.status.idle": "2024-08-17T15:54:27.039146Z", - "shell.execute_reply": "2024-08-17T15:54:27.038949Z" + "iopub.execute_input": "2024-08-17T17:13:33.668789Z", + "iopub.status.busy": "2024-08-17T17:13:33.668708Z", + "iopub.status.idle": "2024-08-17T17:13:33.670281Z", + "shell.execute_reply": "2024-08-17T17:13:33.670083Z" }, "tags": [ "thebe-init" @@ -723,15 +723,15 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "id": "b9035407", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:27.040322Z", - "iopub.status.busy": "2024-08-17T15:54:27.040239Z", - "iopub.status.idle": "2024-08-17T15:54:27.051175Z", - "shell.execute_reply": "2024-08-17T15:54:27.050953Z" + "iopub.execute_input": "2024-08-17T17:13:33.671420Z", + "iopub.status.busy": "2024-08-17T17:13:33.671350Z", + "iopub.status.idle": "2024-08-17T17:13:33.681296Z", + "shell.execute_reply": "2024-08-17T17:13:33.681079Z" }, "tags": [ "thebe-init" @@ -821,15 +821,15 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": null, "id": "80301cc6", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:27.052506Z", - "iopub.status.busy": "2024-08-17T15:54:27.052438Z", - "iopub.status.idle": "2024-08-17T15:54:27.054269Z", - "shell.execute_reply": "2024-08-17T15:54:27.054086Z" + "iopub.execute_input": "2024-08-17T17:13:33.682651Z", + "iopub.status.busy": "2024-08-17T17:13:33.682581Z", + "iopub.status.idle": "2024-08-17T17:13:33.684450Z", + "shell.execute_reply": "2024-08-17T17:13:33.684249Z" }, "tags": [ "thebe-init" @@ -871,15 +871,15 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": null, "id": "8f63facd", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:27.055388Z", - "iopub.status.busy": "2024-08-17T15:54:27.055319Z", - "iopub.status.idle": "2024-08-17T15:54:27.057187Z", - "shell.execute_reply": "2024-08-17T15:54:27.056984Z" + "iopub.execute_input": "2024-08-17T17:13:33.685548Z", + "iopub.status.busy": "2024-08-17T17:13:33.685475Z", + "iopub.status.idle": "2024-08-17T17:13:33.687361Z", + "shell.execute_reply": "2024-08-17T17:13:33.687175Z" }, "tags": [ "thebe-init" @@ -911,41 +911,21 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": null, "id": "ab20ac9d", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:27.058290Z", - "iopub.status.busy": "2024-08-17T15:54:27.058217Z", - "iopub.status.idle": "2024-08-17T15:54:30.262532Z", - "shell.execute_reply": "2024-08-17T15:54:30.262265Z" + "iopub.execute_input": "2024-08-17T17:13:33.688390Z", + "iopub.status.busy": "2024-08-17T17:13:33.688327Z", + "iopub.status.idle": "2024-08-17T17:13:36.913476Z", + "shell.execute_reply": "2024-08-17T17:13:36.913208Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "error = []\n", "N = (2**4, 2**6, 2**8, 2**10)\n", diff --git a/docs/demos/Moebius/moebius.ipynb b/docs/demos/Moebius/moebius.ipynb index fc896b72..0bbb908b 100644 --- a/docs/demos/Moebius/moebius.ipynb +++ b/docs/demos/Moebius/moebius.ipynb @@ -611,15 +611,15 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "id": "e3a23ab5", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:57.086814Z", - "iopub.status.busy": "2024-08-17T15:54:57.086513Z", - "iopub.status.idle": "2024-08-17T15:54:58.223406Z", - "shell.execute_reply": "2024-08-17T15:54:58.223071Z" + "iopub.execute_input": "2024-08-17T17:14:03.974893Z", + "iopub.status.busy": "2024-08-17T17:14:03.974598Z", + "iopub.status.idle": "2024-08-17T17:14:05.194801Z", + "shell.execute_reply": "2024-08-17T17:14:05.194488Z" }, "tags": [ "thebe-init" @@ -676,35 +676,21 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "id": "64eca61f", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:58.224968Z", - "iopub.status.busy": "2024-08-17T15:54:58.224810Z", - "iopub.status.idle": "2024-08-17T15:54:58.936190Z", - "shell.execute_reply": "2024-08-17T15:54:58.935920Z" + "iopub.execute_input": "2024-08-17T17:14:05.196465Z", + "iopub.status.busy": "2024-08-17T17:14:05.196293Z", + "iopub.status.idle": "2024-08-17T17:14:05.903225Z", + "shell.execute_reply": "2024-08-17T17:14:05.902967Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle \\frac{1}{g{\\left(\\varphi,t \\right)}}\\frac{\\partial^2 f}{\\partial \\varphi^2 }- \\frac{4 t \\left(R - t \\cos{\\left(\\varphi \\right)}\\right) \\sin{\\left(\\varphi \\right)}}{g^{2}{\\left(\\varphi,t \\right)}}\\frac{\\partial f}{\\partial \\varphi }+\\frac{\\partial^2 f}{\\partial t^2 }+\\frac{- 4 R \\cos{\\left(\\varphi \\right)} + 4 t \\cos^{2}{\\left(\\varphi \\right)} + t}{g{\\left(\\varphi,t \\right)}}\\frac{\\partial f}{\\partial t }$" - ], - "text/plain": [ - "" - ] - }, - "execution_count": 2, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "g = sp.Function('g')(phi, t)\n", "replace = [(T.coors.sg**2, g)]\n", @@ -732,15 +718,15 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": null, "id": "5568ddd3", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:58.937520Z", - "iopub.status.busy": "2024-08-17T15:54:58.937432Z", - "iopub.status.idle": "2024-08-17T15:55:02.071225Z", - "shell.execute_reply": "2024-08-17T15:55:02.070933Z" + "iopub.execute_input": "2024-08-17T17:14:05.904583Z", + "iopub.status.busy": "2024-08-17T17:14:05.904498Z", + "iopub.status.idle": "2024-08-17T17:14:08.861805Z", + "shell.execute_reply": "2024-08-17T17:14:08.861491Z" }, "tags": [ "thebe-init" @@ -766,29 +752,21 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "id": "012ce144", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:55:02.072697Z", - "iopub.status.busy": "2024-08-17T15:55:02.072617Z", - "iopub.status.idle": "2024-08-17T15:55:02.074329Z", - "shell.execute_reply": "2024-08-17T15:55:02.074132Z" + "iopub.execute_input": "2024-08-17T17:14:08.863305Z", + "iopub.status.busy": "2024-08-17T17:14:08.863227Z", + "iopub.status.idle": "2024-08-17T17:14:08.865051Z", + "shell.execute_reply": "2024-08-17T17:14:08.864852Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Number of matrices for M = 23 and B = 9\n" - ] - } - ], + "outputs": [], "source": [ "print(f'Number of matrices for M = {len(M)} and B = {len(B)}')" ] @@ -807,15 +785,15 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": null, "id": "c49c9da3", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:55:02.075436Z", - "iopub.status.busy": "2024-08-17T15:55:02.075369Z", - "iopub.status.idle": "2024-08-17T15:55:02.102274Z", - "shell.execute_reply": "2024-08-17T15:55:02.102038Z" + "iopub.execute_input": "2024-08-17T17:14:08.866114Z", + "iopub.status.busy": "2024-08-17T17:14:08.866049Z", + "iopub.status.idle": "2024-08-17T17:14:08.892644Z", + "shell.execute_reply": "2024-08-17T17:14:08.892428Z" }, "tags": [ "thebe-init" @@ -844,15 +822,15 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": null, "id": "414ed1ba", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:55:02.103581Z", - "iopub.status.busy": "2024-08-17T15:55:02.103497Z", - "iopub.status.idle": "2024-08-17T15:55:02.302399Z", - "shell.execute_reply": "2024-08-17T15:55:02.302102Z" + "iopub.execute_input": "2024-08-17T17:14:08.893830Z", + "iopub.status.busy": "2024-08-17T17:14:08.893760Z", + "iopub.status.idle": "2024-08-17T17:14:09.094504Z", + "shell.execute_reply": "2024-08-17T17:14:09.094171Z" }, "tags": [ "thebe-init" @@ -878,47 +856,21 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": null, "id": "a3bde988", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:55:02.303803Z", - "iopub.status.busy": "2024-08-17T15:55:02.303721Z", - "iopub.status.idle": "2024-08-17T15:55:02.376553Z", - "shell.execute_reply": "2024-08-17T15:55:02.376344Z" + "iopub.execute_input": "2024-08-17T17:14:09.095856Z", + "iopub.status.busy": "2024-08-17T17:14:09.095788Z", + "iopub.status.idle": "2024-08-17T17:14:09.166703Z", + "shell.execute_reply": "2024-08-17T17:14:09.166485Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Twisted eigenvalue 1 0 4.387440183533e+00 Error 4.6645e-13\n", - "Twisted eigenvalue 2 3 4.621048650216e+00 Error 8.8057e-13\n", - "Twisted eigenvalue 3 4 4.619975211630e+00 Error 8.8142e-13\n", - "Twisted eigenvalue 4 7 5.311812035824e+00 Error 1.2678e-12\n", - "Twisted eigenvalue 5 8 5.311812018902e+00 Error 1.1810e-12\n", - "Twisted eigenvalue 6 11 6.459281503707e+00 Error 9.6485e-13\n", - "Twisted eigenvalue 7 12 6.459281503733e+00 Error 1.1049e-12\n", - "Twisted eigenvalue 8 13 8.054788196218e+00 Error 2.3363e-12\n", - "Twisted eigenvalue 9 16 8.054788196218e+00 Error 2.7749e-12\n", - "Twisted eigenvalue 10 19 1.008763663159e+01 Error 8.2040e-13\n", - "Twisted eigenvalue 11 21 1.008763663159e+01 Error 5.2534e-12\n", - "Twisted eigenvalue 12 23 1.254476514934e+01 Error 8.7299e-13\n", - "Twisted eigenvalue 13 24 1.254476514934e+01 Error 1.2610e-12\n", - "Twisted eigenvalue 14 27 1.541145063366e+01 Error 1.7452e-12\n", - "Twisted eigenvalue 15 28 1.541145063366e+01 Error 3.4271e-12\n", - "Twisted eigenvalue 16 32 1.759842598374e+01 Error 2.0810e-12\n", - "Twisted eigenvalue 17 33 1.762205073721e+01 Error 1.6638e-11\n", - "Twisted eigenvalue 18 36 1.808449793660e+01 Error 4.1161e-12\n", - "Twisted eigenvalue 19 37 1.808449945144e+01 Error 1.2148e-11\n" - ] - } - ], + "outputs": [], "source": [ "u_hat = Function(T)\n", "eigvals = []\n", @@ -947,27505 +899,21 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": null, "id": "ab3e23af", "metadata": { "editable": true, "execution": { - 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "import plotly.express as px\n", "z = np.where(abs(mm.mat.toarray()) > 1e-6, 0, 1).astype(bool)\n", diff --git a/docs/demos/Poisson/poisson.ipynb b/docs/demos/Poisson/poisson.ipynb index 01361cca..d0c18284 100644 --- a/docs/demos/Poisson/poisson.ipynb +++ b/docs/demos/Poisson/poisson.ipynb @@ -20,7 +20,7 @@ "shown in the figure below, is demonstrated.\n", "The demo is implemented in slightly more generic terms (more boundary conditions)\n", "in [poisson1D.py](https://github.com/spectralDNS/shenfun/blob/master/demo/poisson1D.py), and\n", - "the numerical method is is described in more detail by J. Shen [[shen1]](#shen1) and [[shen95]](#shen95).\n", + "the numerical method is is described in more detail by J. Shen [shen1](#shen1) and [shen95](#shen95).\n", "\n", "\n", "\n", @@ -535,15 +535,15 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "id": "659b5c0d", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:07.746392Z", - "iopub.status.busy": "2024-08-17T15:54:07.746029Z", - "iopub.status.idle": "2024-08-17T15:54:08.383792Z", - "shell.execute_reply": "2024-08-17T15:54:08.383496Z" + "iopub.execute_input": "2024-08-17T17:13:15.047292Z", + "iopub.status.busy": "2024-08-17T17:13:15.046838Z", + "iopub.status.idle": "2024-08-17T17:13:15.403219Z", + "shell.execute_reply": "2024-08-17T17:13:15.402918Z" }, "tags": [ "thebe-init" @@ -582,15 +582,15 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "id": "38c3edf0", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:08.385492Z", - "iopub.status.busy": "2024-08-17T15:54:08.385269Z", - "iopub.status.idle": "2024-08-17T15:54:08.396448Z", - "shell.execute_reply": "2024-08-17T15:54:08.396249Z" + "iopub.execute_input": "2024-08-17T17:13:15.404884Z", + "iopub.status.busy": "2024-08-17T17:13:15.404676Z", + "iopub.status.idle": "2024-08-17T17:13:15.415762Z", + "shell.execute_reply": "2024-08-17T17:13:15.415549Z" }, "tags": [ "thebe-init" @@ -638,15 +638,15 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": null, "id": "9328ec31", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:08.397687Z", - "iopub.status.busy": "2024-08-17T15:54:08.397604Z", - "iopub.status.idle": "2024-08-17T15:54:08.408850Z", - "shell.execute_reply": "2024-08-17T15:54:08.408641Z" + "iopub.execute_input": "2024-08-17T17:13:15.417032Z", + "iopub.status.busy": "2024-08-17T17:13:15.416959Z", + "iopub.status.idle": "2024-08-17T17:13:15.427983Z", + "shell.execute_reply": "2024-08-17T17:13:15.427779Z" }, "tags": [ "thebe-init" @@ -684,15 +684,15 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "id": "d3f0a739", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:08.410095Z", - "iopub.status.busy": "2024-08-17T15:54:08.410018Z", - "iopub.status.idle": "2024-08-17T15:54:08.418421Z", - "shell.execute_reply": "2024-08-17T15:54:08.418224Z" + "iopub.execute_input": "2024-08-17T17:13:15.429208Z", + "iopub.status.busy": "2024-08-17T17:13:15.429138Z", + "iopub.status.idle": "2024-08-17T17:13:15.437105Z", + "shell.execute_reply": "2024-08-17T17:13:15.436906Z" }, "tags": [ "thebe-init" @@ -741,29 +741,21 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": null, "id": "3efea157", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:08.419578Z", - "iopub.status.busy": "2024-08-17T15:54:08.419498Z", - "iopub.status.idle": "2024-08-17T15:54:08.432590Z", - "shell.execute_reply": "2024-08-17T15:54:08.432400Z" + "iopub.execute_input": "2024-08-17T17:13:15.438296Z", + "iopub.status.busy": "2024-08-17T17:13:15.438215Z", + "iopub.status.idle": "2024-08-17T17:13:15.451331Z", + "shell.execute_reply": "2024-08-17T17:13:15.451134Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Error=2.3565371191241489e-10\n" - ] - } - ], + "outputs": [], "source": [ "u_hat = A.solve(f_hat)\n", "uj = SD.backward(u_hat)\n", @@ -787,15 +779,15 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": null, "id": "c69c9d1e", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:08.433781Z", - "iopub.status.busy": "2024-08-17T15:54:08.433710Z", - "iopub.status.idle": "2024-08-17T15:54:08.435640Z", - "shell.execute_reply": "2024-08-17T15:54:08.435449Z" + "iopub.execute_input": "2024-08-17T17:13:15.452533Z", + "iopub.status.busy": "2024-08-17T17:13:15.452463Z", + "iopub.status.idle": "2024-08-17T17:13:15.454560Z", + "shell.execute_reply": "2024-08-17T17:13:15.454360Z" }, "tags": [ "thebe-init" @@ -840,32 +832,21 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": null, "id": "e2444fa7", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:08.436708Z", - "iopub.status.busy": "2024-08-17T15:54:08.436638Z", - "iopub.status.idle": "2024-08-17T15:54:08.443591Z", - "shell.execute_reply": "2024-08-17T15:54:08.443400Z" + "iopub.execute_input": "2024-08-17T17:13:15.455639Z", + "iopub.status.busy": "2024-08-17T17:13:15.455571Z", + "iopub.status.idle": "2024-08-17T17:13:15.462452Z", + "shell.execute_reply": "2024-08-17T17:13:15.462259Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "data": { - "text/plain": [ - "1.1654916318123927" - ] - }, - "execution_count": 7, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "main(12, 'Chebyshev')" ] @@ -886,32 +867,21 @@ }, { "cell_type": "code", - 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", 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"cell_type": "code", - "execution_count": 2, + "execution_count": null, "id": "31c9285d", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:16.276710Z", - "iopub.status.busy": "2024-08-17T15:54:16.276493Z", - "iopub.status.idle": "2024-08-17T15:54:16.289749Z", - "shell.execute_reply": "2024-08-17T15:54:16.289528Z" + "iopub.execute_input": "2024-08-17T17:13:23.160398Z", + "iopub.status.busy": "2024-08-17T17:13:23.160188Z", + "iopub.status.idle": "2024-08-17T17:13:23.173744Z", + "shell.execute_reply": "2024-08-17T17:13:23.173512Z" }, "tags": [ "thebe-init" @@ -890,15 +890,15 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": null, "id": "d7ae8f20", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:16.291071Z", - "iopub.status.busy": "2024-08-17T15:54:16.290973Z", - "iopub.status.idle": "2024-08-17T15:54:16.297050Z", - "shell.execute_reply": "2024-08-17T15:54:16.296842Z" + "iopub.execute_input": "2024-08-17T17:13:23.175169Z", + "iopub.status.busy": "2024-08-17T17:13:23.175096Z", + "iopub.status.idle": "2024-08-17T17:13:23.181071Z", + "shell.execute_reply": "2024-08-17T17:13:23.180863Z" }, "tags": [ "thebe-init" @@ -1109,15 +1109,15 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "id": "4c0bbdd5", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:16.298518Z", - "iopub.status.busy": "2024-08-17T15:54:16.298447Z", - "iopub.status.idle": "2024-08-17T15:54:16.306014Z", - "shell.execute_reply": "2024-08-17T15:54:16.305798Z" + "iopub.execute_input": "2024-08-17T17:13:23.182699Z", + "iopub.status.busy": "2024-08-17T17:13:23.182630Z", + "iopub.status.idle": "2024-08-17T17:13:23.190206Z", + "shell.execute_reply": "2024-08-17T17:13:23.190002Z" }, "tags": [ "thebe-init" @@ -1191,29 +1191,21 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": null, "id": "abc14f5d", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:16.307275Z", - "iopub.status.busy": "2024-08-17T15:54:16.307206Z", - "iopub.status.idle": "2024-08-17T15:54:16.315616Z", - "shell.execute_reply": "2024-08-17T15:54:16.315421Z" + "iopub.execute_input": "2024-08-17T17:13:23.191525Z", + "iopub.status.busy": "2024-08-17T17:13:23.191459Z", + "iopub.status.idle": "2024-08-17T17:13:23.198499Z", + "shell.execute_reply": "2024-08-17T17:13:23.198270Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Error=4.3371671652836383e+01\n" - ] - } - ], + "outputs": [], "source": [ "# Create Helmholtz linear algebra solver\n", "Solver = chebyshev.la.Helmholtz\n", @@ -1248,15 +1240,15 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": null, "id": "88433058", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:16.316754Z", - "iopub.status.busy": "2024-08-17T15:54:16.316684Z", - "iopub.status.idle": "2024-08-17T15:54:16.319242Z", - "shell.execute_reply": "2024-08-17T15:54:16.319060Z" + "iopub.execute_input": "2024-08-17T17:13:23.199631Z", + "iopub.status.busy": "2024-08-17T17:13:23.199567Z", + "iopub.status.idle": "2024-08-17T17:13:23.202140Z", + "shell.execute_reply": "2024-08-17T17:13:23.201956Z" }, "tags": [ "thebe-init" @@ -1319,32 +1311,21 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": null, "id": "e2444fa7", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:16.320319Z", - "iopub.status.busy": "2024-08-17T15:54:16.320254Z", - "iopub.status.idle": "2024-08-17T15:54:16.332942Z", - "shell.execute_reply": "2024-08-17T15:54:16.332748Z" + "iopub.execute_input": "2024-08-17T17:13:23.203250Z", + "iopub.status.busy": "2024-08-17T17:13:23.203169Z", + "iopub.status.idle": "2024-08-17T17:13:23.215489Z", + "shell.execute_reply": "2024-08-17T17:13:23.215281Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "data": { - "text/plain": [ - "0.0007817843191356134" - ] - }, - "execution_count": 7, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "main(12, 'Chebyshev')" ] @@ -1365,32 +1346,21 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": null, "id": "be4c522a", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:16.334072Z", - "iopub.status.busy": "2024-08-17T15:54:16.334007Z", - "iopub.status.idle": "2024-08-17T15:54:18.108010Z", - "shell.execute_reply": "2024-08-17T15:54:18.107760Z" + "iopub.execute_input": "2024-08-17T17:13:23.216637Z", + "iopub.status.busy": "2024-08-17T17:13:23.216570Z", + "iopub.status.idle": "2024-08-17T17:13:24.948422Z", + "shell.execute_reply": "2024-08-17T17:13:24.948188Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "data": { - "image/png": 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", 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"thebe-init" @@ -805,15 +805,15 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "id": "3162ee49", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:20.237535Z", - "iopub.status.busy": "2024-08-17T15:54:20.237325Z", - "iopub.status.idle": "2024-08-17T15:54:20.413982Z", - "shell.execute_reply": "2024-08-17T15:54:20.413616Z" + "iopub.execute_input": "2024-08-17T17:13:27.047685Z", + "iopub.status.busy": "2024-08-17T17:13:27.047471Z", + "iopub.status.idle": "2024-08-17T17:13:27.202795Z", + "shell.execute_reply": "2024-08-17T17:13:27.202480Z" }, "tags": [ "thebe-init" @@ -867,15 +867,15 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": null, "id": "a9f683c4", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:20.415617Z", - "iopub.status.busy": "2024-08-17T15:54:20.415442Z", - "iopub.status.idle": "2024-08-17T15:54:20.491233Z", - "shell.execute_reply": "2024-08-17T15:54:20.490927Z" + "iopub.execute_input": "2024-08-17T17:13:27.204276Z", + "iopub.status.busy": "2024-08-17T17:13:27.204129Z", + "iopub.status.idle": "2024-08-17T17:13:27.278032Z", + "shell.execute_reply": "2024-08-17T17:13:27.277709Z" }, "tags": [ "thebe-init" @@ -913,15 +913,15 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "id": "56e8f67f", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:20.492703Z", - "iopub.status.busy": "2024-08-17T15:54:20.492606Z", - "iopub.status.idle": "2024-08-17T15:54:20.589678Z", - "shell.execute_reply": "2024-08-17T15:54:20.589335Z" + "iopub.execute_input": "2024-08-17T17:13:27.279455Z", + "iopub.status.busy": "2024-08-17T17:13:27.279372Z", + "iopub.status.idle": "2024-08-17T17:13:27.376149Z", + "shell.execute_reply": "2024-08-17T17:13:27.375878Z" }, "tags": [ "thebe-init" @@ -969,15 +969,15 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": null, "id": "62ab606c", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:20.591180Z", - "iopub.status.busy": "2024-08-17T15:54:20.591098Z", - "iopub.status.idle": "2024-08-17T15:54:20.602917Z", - "shell.execute_reply": "2024-08-17T15:54:20.602649Z" + "iopub.execute_input": "2024-08-17T17:13:27.377501Z", + "iopub.status.busy": "2024-08-17T17:13:27.377423Z", + "iopub.status.idle": "2024-08-17T17:13:27.387994Z", + "shell.execute_reply": "2024-08-17T17:13:27.387762Z" }, "tags": [ "thebe-init" @@ -1010,15 +1010,15 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": null, "id": "410b965c", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:20.604294Z", - "iopub.status.busy": "2024-08-17T15:54:20.604219Z", - "iopub.status.idle": "2024-08-17T15:54:20.606505Z", - "shell.execute_reply": "2024-08-17T15:54:20.606298Z" + "iopub.execute_input": "2024-08-17T17:13:27.389288Z", + "iopub.status.busy": "2024-08-17T17:13:27.389192Z", + "iopub.status.idle": "2024-08-17T17:13:27.391455Z", + "shell.execute_reply": "2024-08-17T17:13:27.391232Z" }, "tags": [ "thebe-init" @@ -1045,29 +1045,21 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": null, "id": "e8feed8f", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:20.607609Z", - "iopub.status.busy": "2024-08-17T15:54:20.607539Z", - "iopub.status.idle": "2024-08-17T15:54:20.610367Z", - "shell.execute_reply": "2024-08-17T15:54:20.610119Z" + "iopub.execute_input": "2024-08-17T17:13:27.392573Z", + "iopub.status.busy": "2024-08-17T17:13:27.392490Z", + "iopub.status.idle": "2024-08-17T17:13:27.395004Z", + "shell.execute_reply": "2024-08-17T17:13:27.394812Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Error = 7.825801253188558e-15\n" - ] - } - ], + "outputs": [], "source": [ "uq = Array(T, buffer=ue)\n", "print('Error =', np.linalg.norm(uj-uq))" @@ -1086,15 +1078,15 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": null, "id": "de99b93f", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:20.611785Z", - "iopub.status.busy": "2024-08-17T15:54:20.611705Z", - "iopub.status.idle": "2024-08-17T15:54:20.647533Z", - "shell.execute_reply": "2024-08-17T15:54:20.647274Z" + "iopub.execute_input": "2024-08-17T17:13:27.396067Z", + "iopub.status.busy": "2024-08-17T17:13:27.395989Z", + "iopub.status.idle": "2024-08-17T17:13:27.427738Z", + "shell.execute_reply": "2024-08-17T17:13:27.427494Z" }, "tags": [ "thebe-init" @@ -1121,15 +1113,15 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": null, "id": "cf17f776", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:20.648888Z", - "iopub.status.busy": "2024-08-17T15:54:20.648811Z", - "iopub.status.idle": "2024-08-17T15:54:20.653346Z", - "shell.execute_reply": "2024-08-17T15:54:20.653082Z" + "iopub.execute_input": "2024-08-17T17:13:27.428907Z", + "iopub.status.busy": "2024-08-17T17:13:27.428836Z", + "iopub.status.idle": "2024-08-17T17:13:27.432692Z", + "shell.execute_reply": "2024-08-17T17:13:27.432482Z" }, "tags": [ "thebe-init" @@ -1154,15 +1146,15 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": null, "id": "79ac588b", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:20.654801Z", - "iopub.status.busy": "2024-08-17T15:54:20.654718Z", - "iopub.status.idle": "2024-08-17T15:54:20.693179Z", - "shell.execute_reply": "2024-08-17T15:54:20.692889Z" + "iopub.execute_input": "2024-08-17T17:13:27.433838Z", + "iopub.status.busy": "2024-08-17T17:13:27.433763Z", + "iopub.status.idle": "2024-08-17T17:13:27.467569Z", + "shell.execute_reply": "2024-08-17T17:13:27.467271Z" }, "tags": [ "thebe-init" @@ -1190,35 +1182,21 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": null, "id": "9d570561", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:20.694722Z", - "iopub.status.busy": "2024-08-17T15:54:20.694623Z", - "iopub.status.idle": "2024-08-17T15:54:20.697686Z", - "shell.execute_reply": "2024-08-17T15:54:20.697487Z" + "iopub.execute_input": "2024-08-17T17:13:27.468918Z", + "iopub.status.busy": "2024-08-17T17:13:27.468840Z", + "iopub.status.idle": "2024-08-17T17:13:27.471690Z", + "shell.execute_reply": "2024-08-17T17:13:27.471498Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle \\mathbf{b}_{\\theta} =- r \\sin{\\left(\\theta \\right)}\\,\\mathbf{i}+r \\cos{\\left(\\theta \\right)}\\,\\mathbf{j} \\\\ \\mathbf{b}_{r} =\\cos{\\left(\\theta \\right)}\\,\\mathbf{i}+\\sin{\\left(\\theta \\right)}\\,\\mathbf{j} \\\\ $" - ], - "text/plain": [ - "" - ] - }, - "execution_count": 11, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "from IPython.display import Math\n", "Math(T.coors.latex_basis_vectors(symbol_names={theta: '\\\\theta', r: 'r'}))" @@ -1294,15 +1272,15 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": null, "id": "9a44ca48", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:20.699067Z", - "iopub.status.busy": "2024-08-17T15:54:20.698987Z", - "iopub.status.idle": "2024-08-17T15:54:20.702272Z", - "shell.execute_reply": "2024-08-17T15:54:20.702042Z" + "iopub.execute_input": "2024-08-17T17:13:27.472976Z", + "iopub.status.busy": "2024-08-17T17:13:27.472904Z", + "iopub.status.idle": "2024-08-17T17:13:27.475601Z", + "shell.execute_reply": "2024-08-17T17:13:27.475414Z" }, "tags": [ "thebe-init" @@ -1358,29 +1336,21 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": null, "id": "7b048206", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:20.703669Z", - "iopub.status.busy": "2024-08-17T15:54:20.703599Z", - "iopub.status.idle": "2024-08-17T15:54:20.737888Z", - "shell.execute_reply": "2024-08-17T15:54:20.737684Z" + "iopub.execute_input": "2024-08-17T17:13:27.476711Z", + "iopub.status.busy": "2024-08-17T17:13:27.476648Z", + "iopub.status.idle": "2024-08-17T17:13:27.508743Z", + "shell.execute_reply": "2024-08-17T17:13:27.508534Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Error gradient 3.6038315677828117e-13\n" - ] - } - ], + "outputs": [], "source": [ "gradue = Array(V, buffer=grad(u).tosympy(basis=ue, psi=psi))\n", "gij = T.coors.get_covariant_metric_tensor()\n", @@ -1405,32 +1375,21 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": null, "id": "70bfca20", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:20.739135Z", - "iopub.status.busy": "2024-08-17T15:54:20.739060Z", - "iopub.status.idle": "2024-08-17T15:54:21.371212Z", - "shell.execute_reply": "2024-08-17T15:54:21.370902Z" + "iopub.execute_input": "2024-08-17T17:13:27.509925Z", + "iopub.status.busy": "2024-08-17T17:13:27.509852Z", + "iopub.status.idle": "2024-08-17T17:13:28.103346Z", + "shell.execute_reply": "2024-08-17T17:13:28.103128Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "%matplotlib inline\n", "\n", diff --git a/docs/demos/RayleighBenard/rayleighbenard.ipynb b/docs/demos/RayleighBenard/rayleighbenard.ipynb index ea445102..430f5386 100644 --- a/docs/demos/RayleighBenard/rayleighbenard.ipynb +++ b/docs/demos/RayleighBenard/rayleighbenard.ipynb @@ -871,15 +871,15 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "id": "4917abcd", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:38.515781Z", - "iopub.status.busy": "2024-08-17T15:54:38.515508Z", - "iopub.status.idle": "2024-08-17T15:54:38.959754Z", - "shell.execute_reply": "2024-08-17T15:54:38.959446Z" + "iopub.execute_input": "2024-08-17T17:13:45.274312Z", + "iopub.status.busy": "2024-08-17T17:13:45.273809Z", + "iopub.status.idle": "2024-08-17T17:13:45.718826Z", + "shell.execute_reply": "2024-08-17T17:13:45.718505Z" }, "tags": [ "thebe-init" @@ -910,15 +910,15 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "id": "32a0a207", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:38.961372Z", - "iopub.status.busy": "2024-08-17T15:54:38.961162Z", - "iopub.status.idle": "2024-08-17T15:54:39.315621Z", - "shell.execute_reply": "2024-08-17T15:54:39.315301Z" + "iopub.execute_input": "2024-08-17T17:13:45.720436Z", + "iopub.status.busy": "2024-08-17T17:13:45.720236Z", + "iopub.status.idle": "2024-08-17T17:13:46.075146Z", + "shell.execute_reply": "2024-08-17T17:13:46.074821Z" }, "tags": [ "thebe-init" @@ -954,15 +954,15 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": null, "id": "be8b51ce", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:39.317071Z", - "iopub.status.busy": "2024-08-17T15:54:39.316991Z", - "iopub.status.idle": "2024-08-17T15:54:39.318864Z", - "shell.execute_reply": "2024-08-17T15:54:39.318674Z" + "iopub.execute_input": "2024-08-17T17:13:46.076595Z", + "iopub.status.busy": "2024-08-17T17:13:46.076511Z", + "iopub.status.idle": "2024-08-17T17:13:46.078552Z", + "shell.execute_reply": "2024-08-17T17:13:46.078350Z" }, "tags": [ "thebe-init" @@ -993,15 +993,15 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "id": "b3ee1794", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:39.320054Z", - "iopub.status.busy": "2024-08-17T15:54:39.319987Z", - "iopub.status.idle": "2024-08-17T15:54:39.344682Z", - "shell.execute_reply": "2024-08-17T15:54:39.344453Z" + "iopub.execute_input": "2024-08-17T17:13:46.079707Z", + "iopub.status.busy": "2024-08-17T17:13:46.079638Z", + "iopub.status.idle": "2024-08-17T17:13:46.103070Z", + "shell.execute_reply": "2024-08-17T17:13:46.102843Z" }, "tags": [ "thebe-init" @@ -1056,15 +1056,15 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": null, "id": "1edae12b", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:39.345866Z", - "iopub.status.busy": "2024-08-17T15:54:39.345794Z", - "iopub.status.idle": "2024-08-17T15:54:39.353891Z", - "shell.execute_reply": "2024-08-17T15:54:39.353662Z" + "iopub.execute_input": "2024-08-17T17:13:46.104201Z", + "iopub.status.busy": "2024-08-17T17:13:46.104130Z", + "iopub.status.idle": "2024-08-17T17:13:46.112740Z", + "shell.execute_reply": "2024-08-17T17:13:46.112523Z" }, "tags": [ "thebe-init" @@ -1113,15 +1113,15 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": null, "id": "ef83143c", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:39.355087Z", - "iopub.status.busy": "2024-08-17T15:54:39.355016Z", - "iopub.status.idle": "2024-08-17T15:54:39.363638Z", - "shell.execute_reply": "2024-08-17T15:54:39.363427Z" + "iopub.execute_input": "2024-08-17T17:13:46.114005Z", + "iopub.status.busy": "2024-08-17T17:13:46.113937Z", + "iopub.status.idle": "2024-08-17T17:13:46.122477Z", + "shell.execute_reply": "2024-08-17T17:13:46.122284Z" }, "tags": [ "thebe-init" @@ -1191,15 +1191,15 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": null, "id": "0a919817", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:39.364952Z", - "iopub.status.busy": "2024-08-17T15:54:39.364873Z", - "iopub.status.idle": "2024-08-17T15:54:39.367727Z", - "shell.execute_reply": "2024-08-17T15:54:39.367521Z" + "iopub.execute_input": "2024-08-17T17:13:46.123733Z", + "iopub.status.busy": "2024-08-17T17:13:46.123658Z", + "iopub.status.idle": "2024-08-17T17:13:46.125983Z", + "shell.execute_reply": "2024-08-17T17:13:46.125774Z" }, "tags": [ "thebe-init" @@ -1224,15 +1224,15 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": null, "id": "115a2254", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:39.368796Z", - "iopub.status.busy": "2024-08-17T15:54:39.368725Z", - "iopub.status.idle": "2024-08-17T15:54:39.373065Z", - "shell.execute_reply": "2024-08-17T15:54:39.372872Z" + "iopub.execute_input": "2024-08-17T17:13:46.127063Z", + "iopub.status.busy": "2024-08-17T17:13:46.126999Z", + "iopub.status.idle": "2024-08-17T17:13:46.131410Z", + "shell.execute_reply": "2024-08-17T17:13:46.131231Z" }, "tags": [ "thebe-init" @@ -1267,15 +1267,15 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": null, "id": "d52d2548", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:39.374144Z", - "iopub.status.busy": "2024-08-17T15:54:39.374076Z", - "iopub.status.idle": "2024-08-17T15:54:39.375693Z", - "shell.execute_reply": "2024-08-17T15:54:39.375502Z" + "iopub.execute_input": "2024-08-17T17:13:46.132505Z", + "iopub.status.busy": "2024-08-17T17:13:46.132425Z", + "iopub.status.idle": "2024-08-17T17:13:46.134086Z", + "shell.execute_reply": "2024-08-17T17:13:46.133889Z" }, "tags": [ "thebe-init" @@ -1544,15 +1544,15 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": null, "id": "174a1ac5", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:39.377365Z", - "iopub.status.busy": "2024-08-17T15:54:39.377292Z", - "iopub.status.idle": "2024-08-17T15:54:39.404939Z", - "shell.execute_reply": "2024-08-17T15:54:39.404737Z" + "iopub.execute_input": "2024-08-17T17:13:46.135715Z", + "iopub.status.busy": "2024-08-17T17:13:46.135647Z", + "iopub.status.idle": "2024-08-17T17:13:46.163408Z", + "shell.execute_reply": "2024-08-17T17:13:46.163177Z" }, "tags": [ "thebe-init" @@ -1584,15 +1584,15 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": null, "id": "62dc1037", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:39.406059Z", - "iopub.status.busy": "2024-08-17T15:54:39.405991Z", - "iopub.status.idle": "2024-08-17T15:54:39.407536Z", - "shell.execute_reply": "2024-08-17T15:54:39.407338Z" + "iopub.execute_input": "2024-08-17T17:13:46.164474Z", + "iopub.status.busy": "2024-08-17T17:13:46.164406Z", + "iopub.status.idle": "2024-08-17T17:13:46.165897Z", + "shell.execute_reply": "2024-08-17T17:13:46.165710Z" }, "tags": [ "thebe-init" @@ -1620,32 +1620,21 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": null, "id": "1a2cfb7b", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:39.408642Z", - "iopub.status.busy": "2024-08-17T15:54:39.408576Z", - "iopub.status.idle": "2024-08-17T15:54:46.740623Z", - "shell.execute_reply": "2024-08-17T15:54:46.740371Z" + "iopub.execute_input": "2024-08-17T17:13:46.166972Z", + "iopub.status.busy": "2024-08-17T17:13:46.166909Z", + "iopub.status.idle": "2024-08-17T17:13:53.656765Z", + "shell.execute_reply": "2024-08-17T17:13:53.656505Z" }, "tags": [ "thebe-init" ] }, - "outputs": 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- "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "%matplotlib inline\n", "\n", diff --git a/docs/demos/SparsityChebyshev/sparsity.ipynb b/docs/demos/SparsityChebyshev/sparsity.ipynb index 3a5368cb..17277b83 100644 --- a/docs/demos/SparsityChebyshev/sparsity.ipynb +++ b/docs/demos/SparsityChebyshev/sparsity.ipynb @@ -92,37 +92,21 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "id": "e8d08068", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:55:13.611454Z", - "iopub.status.busy": "2024-08-17T15:55:13.611359Z", - "iopub.status.idle": "2024-08-17T15:55:13.976715Z", - "shell.execute_reply": "2024-08-17T15:55:13.976412Z" + "iopub.execute_input": "2024-08-17T17:14:20.149190Z", + "iopub.status.busy": "2024-08-17T17:14:20.149076Z", + "iopub.status.idle": "2024-08-17T17:14:20.494029Z", + "shell.execute_reply": "2024-08-17T17:14:20.493762Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "data": { - "text/plain": [ - "Function([-2.08166817e-17, 5.69230686e-01, -1.58270808e-16,\n", - " -6.66916672e-01, 5.37523027e-17, 1.04282369e-01,\n", - " -4.62011417e-17, -6.84063354e-03, -1.96261557e-17,\n", - " 2.50006885e-04, -3.39031315e-18, -5.85024831e-06,\n", - " -7.53729275e-17, 9.53478051e-08, -6.47840243e-17,\n", - " -1.15621280e-09])" - ] - }, - "execution_count": 1, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "from shenfun import *\n", "import sympy as sp\n", @@ -233,33 +217,21 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "id": "cd4b2ee5", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:55:13.978535Z", - "iopub.status.busy": "2024-08-17T15:55:13.978356Z", - "iopub.status.idle": "2024-08-17T15:55:13.987692Z", - "shell.execute_reply": "2024-08-17T15:55:13.987482Z" + "iopub.execute_input": "2024-08-17T17:14:20.495651Z", + "iopub.status.busy": "2024-08-17T17:14:20.495509Z", + "iopub.status.idle": "2024-08-17T17:14:20.504053Z", + "shell.execute_reply": "2024-08-17T17:14:20.503835Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[-9.46212805e-18 1.11022302e-16 -2.47551551e-18 -1.11022302e-16\n", - " 2.58329282e-17 0.00000000e+00 7.16473371e-17 -1.74339709e-16\n", - " 3.25619527e-18 -8.74951153e-17 4.95408707e-17 4.56246674e-16\n", - " 1.45411069e-16 -7.76002561e-14 9.02561799e-17 1.05743319e-11]\n", - "22\n" - ] - } - ], + "outputs": [], "source": [ "SM = FunctionSpace(0, 'C')\n", "uM = Function(SM, buffer=ue, abstol=1e-16, reltol=1e-16)\n", @@ -430,37 +402,21 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": null, "id": "4f6c7409", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:55:13.989337Z", - "iopub.status.busy": "2024-08-17T15:55:13.989263Z", - "iopub.status.idle": "2024-08-17T15:55:13.992181Z", - "shell.execute_reply": "2024-08-17T15:55:13.991915Z" + "iopub.execute_input": "2024-08-17T17:14:20.505569Z", + "iopub.status.busy": "2024-08-17T17:14:20.505493Z", + "iopub.status.idle": "2024-08-17T17:14:20.508244Z", + "shell.execute_reply": "2024-08-17T17:14:20.508048Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "data": { - "text/plain": [ - "Function([-9.55804991e-01, -4.76220620e-15, -3.05007135e+00,\n", - " -4.12912297e-15, 9.51428681e-01, -4.55914139e-15,\n", - " -9.13950067e-02, -4.00472769e-15, 4.37386282e-03,\n", - " -3.69070920e-15, -1.26261106e-04, -3.62290294e-15,\n", - " 2.44435655e-06, -1.81395268e-15, -3.46863840e-08,\n", - " 0.00000000e+00])" - ] - }, - "execution_count": 3, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "uN1 = project(Dx(uN, 0, 1), SN)\n", "uN2 = project(Dx(uN, 0, 2), SN)\n", @@ -480,37 +436,21 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "id": "85617695", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:55:13.993499Z", - "iopub.status.busy": "2024-08-17T15:55:13.993422Z", - "iopub.status.idle": "2024-08-17T15:55:13.996591Z", - "shell.execute_reply": "2024-08-17T15:55:13.996396Z" + "iopub.execute_input": "2024-08-17T17:14:20.509400Z", + "iopub.status.busy": "2024-08-17T17:14:20.509332Z", + "iopub.status.idle": "2024-08-17T17:14:20.512252Z", + "shell.execute_reply": "2024-08-17T17:14:20.512070Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "data": { - "text/plain": [ - "Function([-9.55804991e-01, -4.76220620e-15, -3.05007135e+00,\n", - " -4.12912297e-15, 9.51428681e-01, -4.55914139e-15,\n", - " -9.13950067e-02, -4.00472769e-15, 4.37386282e-03,\n", - " -3.69070920e-15, -1.26261106e-04, -3.62290294e-15,\n", - " 2.44435655e-06, -1.81395268e-15, -3.46863840e-08,\n", - " 0.00000000e+00])" - ] - }, - "execution_count": 4, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "u = TrialFunction(SN)\n", "v = TestFunction(SN)\n", @@ -537,42 +477,21 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": null, "id": "0288b4fe", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:55:13.997709Z", - "iopub.status.busy": "2024-08-17T15:55:13.997630Z", - "iopub.status.idle": "2024-08-17T15:55:14.251261Z", - "shell.execute_reply": "2024-08-17T15:55:14.250975Z" + "iopub.execute_input": "2024-08-17T17:14:20.513420Z", + "iopub.status.busy": "2024-08-17T17:14:20.513353Z", + "iopub.status.idle": "2024-08-17T17:14:20.749888Z", + "shell.execute_reply": "2024-08-17T17:14:20.749666Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 5, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "%matplotlib inline\n", "\n", @@ -630,32 +549,21 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": null, "id": "78eb36cf", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:55:14.252812Z", - "iopub.status.busy": "2024-08-17T15:55:14.252646Z", - "iopub.status.idle": "2024-08-17T15:55:14.269058Z", - "shell.execute_reply": "2024-08-17T15:55:14.268818Z" + "iopub.execute_input": "2024-08-17T17:14:20.751248Z", + "iopub.status.busy": "2024-08-17T17:14:20.751097Z", + "iopub.status.idle": "2024-08-17T17:14:20.767263Z", + "shell.execute_reply": "2024-08-17T17:14:20.767069Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[2.22044605e-16 7.88860905e-31 8.88178420e-16 0.00000000e+00\n", - " 0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00\n", - " 0.00000000e+00 0.00000000e+00 2.71050543e-20 0.00000000e+00\n", - " 4.23516474e-22 0.00000000e+00 0.00000000e+00 0.00000000e+00]\n" - ] - } - ], + "outputs": [], "source": [ "DN = FunctionSpace(N+2, 'C', bc=(0, 0))\n", "v = TestFunction(DN)\n", @@ -679,42 +587,21 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": null, "id": "d5e3bb84", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:55:14.270267Z", - "iopub.status.busy": "2024-08-17T15:55:14.270187Z", - "iopub.status.idle": "2024-08-17T15:55:14.367936Z", - "shell.execute_reply": "2024-08-17T15:55:14.367680Z" + "iopub.execute_input": "2024-08-17T17:14:20.768414Z", + "iopub.status.busy": "2024-08-17T17:14:20.768341Z", + "iopub.status.idle": "2024-08-17T17:14:20.865835Z", + "shell.execute_reply": "2024-08-17T17:14:20.865602Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 7, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "fig, (ax1, ax2) = plt.subplots(1, 2)\n", "ax1.spy(D0.diags(), markersize=2, color='r')\n", @@ -738,32 +625,21 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": null, "id": "6a5b8db9", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:55:14.369262Z", - "iopub.status.busy": "2024-08-17T15:55:14.369182Z", - "iopub.status.idle": "2024-08-17T15:55:14.389265Z", - "shell.execute_reply": "2024-08-17T15:55:14.389048Z" + "iopub.execute_input": "2024-08-17T17:14:20.867062Z", + "iopub.status.busy": "2024-08-17T17:14:20.866986Z", + "iopub.status.idle": "2024-08-17T17:14:20.886135Z", + "shell.execute_reply": "2024-08-17T17:14:20.885938Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[-4.38649204e-12 -2.01002713e+00 -4.16887590e-12 1.53351702e-01\n", - " -1.65264542e-12 -6.03926282e-03 -5.52731678e-13 1.47222317e-04\n", - " -1.25657449e-13 -2.61304093e-06 2.52435490e-29 6.77626358e-21\n", - " 0.00000000e+00 6.35274710e-22 0.00000000e+00 0.00000000e+00]\n" - ] - } - ], + "outputs": [], "source": [ "BN = FunctionSpace(N+4, 'C', bc=(0, 0, 0, 0))\n", "v = TestFunction(BN)\n", @@ -786,42 +662,21 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": null, "id": "138b71ea", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:55:14.390968Z", - "iopub.status.busy": "2024-08-17T15:55:14.390892Z", - "iopub.status.idle": "2024-08-17T15:55:14.525965Z", - "shell.execute_reply": "2024-08-17T15:55:14.525701Z" + "iopub.execute_input": "2024-08-17T17:14:20.887265Z", + "iopub.status.busy": "2024-08-17T17:14:20.887190Z", + "iopub.status.idle": "2024-08-17T17:14:21.013191Z", + "shell.execute_reply": "2024-08-17T17:14:21.012982Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 9, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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neH06LWM0AU8glZEsNB9O8fp0WsZoAp5AKiMZOOwCAACMovkAAABG0XwAAACjaD4AAIBRNB8AAMAomg8AAGCU481HOByWz+dTeXm506EAeAR1A/A2R5uPhoYG1dTU6LLLLnMyDAAPoW4A3udY83Hs2DHde++9ev755/Wd73zHqTDe09oqNTX1/iQe0gx1wz1IZYyGY81HWVmZFi1apJtuumnI/WKxmKLRaL9b2uobMTlnTu9Pp7Pa6/HgOsOtGxK1I5lIZYyWI83HK6+8oqamJoXD4XPuGw6HFQgE4rdQKOTEktzB69NpGaGJISRSNyRqRzKRyhgt25uPtrY2rVq1Stu2bdPYvnGJQ6isrFQkEonf2tra7F6Se3h9Oi0jNHEWidYNidqRTKQyRstnWZZl5xPW1tbq9ttvV0ZGRnxbd3e3fD6fxowZo1gs1u93Z4pGowoEAopEIsrJybFzae7Q2mp2xKTX42FETOfhaOuGRO0wjVTGmRLJQdun2t5444369NNP+2174IEHNGPGDK1Zs+acBSTteX06LSM0MQjqhvuQyhgN25uP7OxszZw5s9+2CRMmKC8vb8B2AJCoG0C64QqnAADAKNs/+RjMO++8YyIMAA+hbgDexScfAADAKJoPAABgFM0HAAAwiuYDAAAYRfMBAACMMnK2Cwzw+pVKuZwi4AmkMiSaD2/oGzHZ1dU7aOHAAWez2uvxADiCVEYfDrt4gden0zJCE/AEUhl9aD68wOvTaRmhCXgCqYw+HHbxgoKC3s8vTR1I9Xo8AI4gldGH5sMrvD6dlhGagCeQypA47AIAAAyj+QAAAEbRfAAAAKNoPgAAgFE0HwAAwCiaDwAAYJQjzcdXX32l++67T3l5eRo/frwuv/xyNTY2OhEKgEdQN4D0Yft1Pr755hvNnTtXCxYs0BtvvKFJkybpn//8p84//3y7QwHwCOoGkF5sbz42bNigUCikF154Ib5t2rRpdoeBXbw+nZYRmq5A3cC5kMreYvthl127dqm4uFh33nmnJk2apNmzZ+v5558/6/6xWEzRaLTfDYb0jZicM6f3Z2sr8ZAUidYNidqRTkhl77G9+fjiiy+0ZcsWTZ8+XW+++aaWL1+ulStX6ve///2g+4fDYQUCgfgtFArZvSScjden0zJC0zUSrRsStSOdkMre47Msy7LzCbOyslRcXKy9e/fGt61cuVINDQ16//33B+wfi8UUi8Xi96PRqEKhkCKRiHJycuxcGs7U93aiq6t3xOSBA85+nun1eB4SjUYVCASM5WGidUOidqQTUtkdEqkbtn/n44ILLtAll1zSb9vFF1+sP/zhD4Pu7/f75ff77V4GhsPr02kZoekaidYNidqRTkhl77G9+Zg7d64OHDjQb9vBgwc1depUu0PBDl6fTssITVegbuBcSGVvsf07H4888og++OADVVVV6dChQ9q+fbtqampUVlZmdygAHkHdANKL7c3HlVdeqZ07d+rll1/WzJkz9fOf/1ybNm3Svffea3coAB5B3QDSi+1fOB0t0190AzCQG/PQjWsGvCSRHGS2CwAAMIrmAwAAGEXzAQAAjKL5AAAARtF8AAAAo2y/yBjSRDpMp2WMJuB6pHFqovlA4tJhRgvDJADXI41TF4ddkLh0mE7LGE3A9Ujj1EXzgcRNnNj7NkLq/TlxorfiJSsmAFuRxqmLwy5IXDpMp2WMJuB6pHHqovnAyKTDdFrGaAKuRxqnJg67AAAAo2g+AACAUTQfAADAKJoPAABgFM0HAAAwiuYDAAAYZXvzcerUKT3++OMqLCzUuHHjdOGFF+qpp55ST0+P3aEAeAR1A0gvtl/nY8OGDdq6dateeuklFRUVad++fXrggQcUCAS0atUqu8MB8ADqBpBebG8+3n//fd12221atGiRJGnatGl6+eWXtW/fPrtDwY2YhotBUDeQakhjZ9l+2GXevHl6++23dfDgQUnSxx9/rPfee0+33HLLoPvHYjFFo9F+N3hU34jJOXN6f7a2eitesmJ6QKJ1Q6J2wDmksfNs/+RjzZo1ikQimjFjhjIyMtTd3a3169frnnvuGXT/cDisn/3sZ3YvA6losBGTTr6lMB0vWTE9ING6IVE74BzS2Hm2f/KxY8cObdu2Tdu3b1dTU5Neeukl/fKXv9RLL7006P6VlZWKRCLxW1tbm91LQqpgGi7OItG6IVE74BzS2Hk+y7IsO58wFApp7dq1Kisri2/7xS9+oW3btukf//jHOR8fjUYVCAQUiUSUk5Nj59KQCvjOhyuYzsPR1g2J2gF7eSCNjUskB20/7PLtt99qzJj+H6hkZGRwyhx6MQ0Xg6BuINWQxs6yvflYvHix1q9fr4KCAhUVFWn//v3auHGjHnzwQbtDAfAI6gaQXmw/7NLZ2aknnnhCO3fuVEdHh4LBoO655x799Kc/VVZW1jkfz0enQPKZzsPR1g2J2gEkWyI5aHvzMVoUECD53JiHblwz4CWJ5CCzXQAAgFE0HwAAwCiaDwAAYBTNBwAAMIrmAwAAGEXzAQAAjLL9ImOAI9LhMulczxlwPdJ4eGg+kPr65lt3dfVOeTpwwPmsNh0zGX8jAFuRxsPHYRekvsHmW3stZjL+RgC2Io2Hj+YDqS8Z861Nx2SGN+B6pPHwcdgFqa+goPfzS5MHUk3HTMbfCMBWpPHw0XzAHZIx39p0TGZ4A65HGg8Ph10AAIBRNB8AAMAomg8AAGAUzQcAADCK5gMAABiVcPOxZ88eLV68WMFgUD6fT7W1tf1+b1mW1q1bp2AwqHHjxmn+/Pn67LPP7FovABeibgA4XcLNx/HjxzVr1ixVV1cP+vtnnnlGGzduVHV1tRoaGpSfn6+bb75ZnZ2do14sAHeibgDoxxoFSdbOnTvj93t6eqz8/Hzr6aefjm/r6uqyAoGAtXXr1mE9ZyQSsSRZkUhkNEsDMApO5qETdcOyqB1AsiWSg7Z+56OlpUXt7e0qKSmJb/P7/brhhhu0d+9eO0MBw9PaKjU19f70asxk/I02om4Ark/jhNl6hdP29nZJ0uTJk/ttnzx5sg4fPjzoY2KxmGKxWPx+NBq1c0lIZ0zDdYWR1A2J2gHv8EAaJ8yRs118Pl+/+5ZlDdjWJxwOKxAIxG+hUMiJJSEdMQ3XVRKpGxK1A97hoTQeNlubj/z8fEn/fyfTp6OjY8C7mj6VlZWKRCLxW1tbm51LQjpjGq4rjKRuSNQOeIcH0jhhth52KSwsVH5+vurq6jR79mxJ0okTJ1RfX68NGzYM+hi/3y+/32/nMoBeTMN1hZHUDYnaAe/wQBonLOHm49ixYzp06FD8fktLi5qbm5Wbm6uCggKVl5erqqpK06dP1/Tp01VVVaXx48dr6dKlti4cGBam4aYE6gYwNBeksa0Sbj727dunBQsWxO9XVFRIkpYtW6YXX3xRP/7xj/Xf//5XP/rRj/TNN9/o6quv1ltvvaXs7Gz7Vg3AVagbAE7nsyzLSvYiTheNRhUIBBSJRJSTk5Ps5QBpyY156MY1A16SSA4y2wUAABhF8wEAAIyi+QAAAEbRfAAAAKNoPgAAgFE0HwAAwChbr3AKeEprq9lLDno9HgDbuTWNaT6AwXh9Om06jtEEPMbNacxhF2AwXp9Om45jNAGPcXMa03wAg/H6dNp0HKMJeIyb05jDLsBgvD6dNh3HaAIe4+Y0pvkAzsbr02nTbYwm4EFuTWMOuwAAAKNoPgAAgFE0HwAAwCiaDwAAYBTNBwAAMCrh5mPPnj1avHixgsGgfD6famtr4787efKk1qxZo0svvVQTJkxQMBjU/fffryNHjti5ZgAuQ90AcLqEm4/jx49r1qxZqq6uHvC7b7/9Vk1NTXriiSfU1NSkV199VQcPHtStt95qy2IBuBN1A8DpfJZlWSN+sM+nnTt3asmSJWfdp6GhQVdddZUOHz6sgmGcjByNRhUIBBSJRJSTkzPSpQEYBSfz0Im6IVE7gGRLJAcdv8hYJBKRz+fT+eef73QoIDUwnXbUqBuAs5JdNhxtPrq6urR27VotXbr0rF1QLBZTLBaL349Go04uCXAW02lHbTh1Q6J2ACOVCmXDsbNdTp48qbvvvls9PT3avHnzWfcLh8MKBALxWygUcmpJgPOYTjsqw60bErUDGKlUKBuONB8nT57UXXfdpZaWFtXV1Q357qWyslKRSCR+a2trc2JJgBlMpx2xROqGRO0ARioVyobth136Csjnn3+u3bt3Ky8vb8j9/X6//H6/3csAkoPptCOSaN2QqB3ASKVC2Ui4+Th27JgOHToUv9/S0qLm5mbl5uYqGAzqjjvuUFNTk15//XV1d3ervb1dkpSbm6usrCz7Vg6kKqbTDkDdAFJLsstGwqfavvPOO1qwYMGA7cuWLdO6detUWFg46ON2796t+fPnn/P5OV0OSD6789DpuiFRO4Bkc/RU2/nz52uofmUUlw0B4FHUDQCnY7YLAAAwiuYDAAAYRfMBAACMovkAAABG0XwAAACjaD4AAIBRjk+1BTBMTMMFkOLsKhs0H0AqYBougBRnZ9ngsAuQCpiGCyDF2Vk2aD6AVMA0XAApzs6ywWEXIBUwDRdAirOzbNB8AKmCabgAUpxdZYPDLgAAwCiaDwAAYBTNBwAAMIrmAwAAGEXzAQAAjKL5AAAARiXcfOzZs0eLFy9WMBiUz+dTbW3tWfd96KGH5PP5tGnTplEsEYDbUTcAnC7h5uP48eOaNWuWqqurh9yvtrZWH374oYLB4IgXB8AbqBsATpfwRcYWLlyohQsXDrnPV199pRUrVujNN9/UokWLRrw4AMPggum01A0Ap7P9Cqc9PT0qLS3V6tWrVVRUdM79Y7GYYrFY/H40GrV7SYB3eWQ6baJ1Q6J2AG5m+xdON2zYoMzMTK1cuXJY+4fDYQUCgfgtFArZvSTAuzwynTbRuiFROwA3s7X5aGxs1HPPPacXX3xRPp9vWI+prKxUJBKJ39ra2uxcEuBtHph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" 0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00\n", - " 0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00]\n" - ] - } - ], + "outputs": [], "source": [ "f1 = np.zeros(N+1)\n", "ck = np.ones(N); ck[0] = 2\n", @@ -1166,39 +1010,21 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": null, "id": "f76f13c5", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:55:14.531171Z", - "iopub.status.busy": "2024-08-17T15:55:14.531081Z", - "iopub.status.idle": "2024-08-17T15:55:14.533840Z", - "shell.execute_reply": "2024-08-17T15:55:14.533609Z" + "iopub.execute_input": "2024-08-17T17:14:21.018141Z", + "iopub.status.busy": "2024-08-17T17:14:21.018068Z", + "iopub.status.idle": "2024-08-17T17:14:21.020781Z", + "shell.execute_reply": "2024-08-17T17:14:21.020593Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "{0: array([3.14159265, 1.57079633, 1.57079633, 1.57079633, 1.57079633,\n", - " 1.57079633, 1.57079633, 1.57079633, 1.57079633, 1.57079633,\n", - " 1.57079633, 1.57079633, 1.57079633, 1.57079633, 1.57079633,\n", - " 1.57079633]),\n", - " 2: array([-1.57079633, -1.57079633, -1.57079633, -1.57079633, -1.57079633,\n", - " -1.57079633, -1.57079633, -1.57079633, -1.57079633, -1.57079633,\n", - " -1.57079633, -1.57079633, -1.57079633, -1.57079633])}\n", - "{1: array([ 3.14159265, 6.28318531, 9.42477796, 12.56637061, 15.70796327,\n", - " 18.84955592, 21.99114858, 25.13274123, 28.27433388, 31.41592654,\n", - " 34.55751919, 37.69911184, 40.8407045 , 43.98229715, 47.1238898 ,\n", - " 50.26548246])}\n" - ] - } - ], + "outputs": [], "source": [ "import pprint\n", "DN = FunctionSpace(N+2, 'C', bc=(0, 0))\n", diff --git a/docs/demos/SphereHelmholtz/sphericalhelmholtz.ipynb b/docs/demos/SphereHelmholtz/sphericalhelmholtz.ipynb index 04e890af..ece53df3 100644 --- a/docs/demos/SphereHelmholtz/sphericalhelmholtz.ipynb +++ b/docs/demos/SphereHelmholtz/sphericalhelmholtz.ipynb @@ -295,15 +295,15 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "id": "4580c8b3", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:23.187732Z", - "iopub.status.busy": "2024-08-17T15:54:23.187230Z", - "iopub.status.idle": "2024-08-17T15:54:23.539440Z", - "shell.execute_reply": "2024-08-17T15:54:23.539123Z" + "iopub.execute_input": "2024-08-17T17:13:29.850345Z", + "iopub.status.busy": "2024-08-17T17:13:29.850037Z", + "iopub.status.idle": "2024-08-17T17:13:30.206192Z", + "shell.execute_reply": "2024-08-17T17:13:30.205882Z" }, "tags": [ "thebe-init" @@ -338,15 +338,15 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "id": "7cbc4b2a", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:23.541060Z", - "iopub.status.busy": "2024-08-17T15:54:23.540842Z", - "iopub.status.idle": "2024-08-17T15:54:23.768876Z", - "shell.execute_reply": "2024-08-17T15:54:23.768563Z" + "iopub.execute_input": "2024-08-17T17:13:30.207715Z", + "iopub.status.busy": "2024-08-17T17:13:30.207497Z", + "iopub.status.idle": "2024-08-17T17:13:30.429549Z", + "shell.execute_reply": "2024-08-17T17:13:30.429240Z" }, "tags": [ "thebe-init" @@ -381,15 +381,15 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": null, "id": "2118b5f7", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:23.770266Z", - "iopub.status.busy": "2024-08-17T15:54:23.770186Z", - "iopub.status.idle": "2024-08-17T15:54:23.878260Z", - "shell.execute_reply": "2024-08-17T15:54:23.877961Z" + "iopub.execute_input": "2024-08-17T17:13:30.430910Z", + "iopub.status.busy": "2024-08-17T17:13:30.430832Z", + "iopub.status.idle": "2024-08-17T17:13:30.536211Z", + "shell.execute_reply": "2024-08-17T17:13:30.535920Z" }, "tags": [ "thebe-init" @@ -451,15 +451,15 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "id": "50e8d4d1", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:23.879676Z", - "iopub.status.busy": "2024-08-17T15:54:23.879600Z", - "iopub.status.idle": "2024-08-17T15:54:23.927618Z", - "shell.execute_reply": "2024-08-17T15:54:23.927348Z" + "iopub.execute_input": "2024-08-17T17:13:30.537603Z", + "iopub.status.busy": "2024-08-17T17:13:30.537527Z", + "iopub.status.idle": "2024-08-17T17:13:30.585707Z", + "shell.execute_reply": "2024-08-17T17:13:30.585432Z" }, "tags": [ "thebe-init" @@ -498,29 +498,21 @@ }, { "cell_type": "code", - 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "u_hat2 = u_hat.refine([N*2, M*2])\n", "fig = surf3D(u_hat2.backward().real, wrapaxes=[1])\n", diff --git a/docs/demos/Stokes/stokes.ipynb b/docs/demos/Stokes/stokes.ipynb index 4f74d924..6eeab4cf 100644 --- a/docs/demos/Stokes/stokes.ipynb +++ b/docs/demos/Stokes/stokes.ipynb @@ -545,15 +545,15 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "id": "b8b3dc6a", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:31.969756Z", - "iopub.status.busy": "2024-08-17T15:54:31.969673Z", - "iopub.status.idle": "2024-08-17T15:54:32.301283Z", - "shell.execute_reply": "2024-08-17T15:54:32.301005Z" + "iopub.execute_input": "2024-08-17T17:13:38.670871Z", + "iopub.status.busy": "2024-08-17T17:13:38.670744Z", + "iopub.status.idle": "2024-08-17T17:13:39.016153Z", + "shell.execute_reply": "2024-08-17T17:13:39.015892Z" }, "tags": [ "thebe-init" @@ -598,15 +598,15 @@ }, { "cell_type": "code", - 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "import plotly.express as px\n", "z = np.where(abs(A.toarray()) > 1e-6, 0, 1).astype(bool)\n", @@ -1489,29 +576,21 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": null, "id": "c55f7862", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:55:11.199612Z", - "iopub.status.busy": "2024-08-17T15:55:11.199501Z", - "iopub.status.idle": "2024-08-17T15:55:11.212399Z", - "shell.execute_reply": "2024-08-17T15:55:11.212200Z" + "iopub.execute_input": "2024-08-17T17:14:17.724999Z", + "iopub.status.busy": "2024-08-17T17:14:17.724884Z", + "iopub.status.idle": "2024-08-17T17:14:17.738527Z", + "shell.execute_reply": "2024-08-17T17:14:17.738333Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Error=6.1627508208975725e-11\n" - ] - } - ], + "outputs": [], "source": [ "u_hat = Function(T)\n", "u_hat[:] = scp.linalg.spsolve(A, f_hat)\n", @@ -1537,15 +616,15 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": null, "id": "c5417c91", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:55:11.213498Z", - "iopub.status.busy": "2024-08-17T15:55:11.213426Z", - "iopub.status.idle": "2024-08-17T15:55:11.215739Z", - "shell.execute_reply": "2024-08-17T15:55:11.215544Z" + "iopub.execute_input": "2024-08-17T17:14:17.739808Z", + "iopub.status.busy": "2024-08-17T17:14:17.739731Z", + "iopub.status.idle": "2024-08-17T17:14:17.742024Z", + "shell.execute_reply": "2024-08-17T17:14:17.741825Z" }, "tags": [ "thebe-init" @@ -1597,32 +676,21 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": null, "id": "e2444fa7", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:55:11.216811Z", - "iopub.status.busy": "2024-08-17T15:55:11.216743Z", - "iopub.status.idle": "2024-08-17T15:55:11.222123Z", - "shell.execute_reply": "2024-08-17T15:55:11.221916Z" + "iopub.execute_input": "2024-08-17T17:14:17.743316Z", + "iopub.status.busy": "2024-08-17T17:14:17.743242Z", + "iopub.status.idle": "2024-08-17T17:14:17.748860Z", + "shell.execute_reply": "2024-08-17T17:14:17.748661Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "data": { - "text/plain": [ - "1.9741838920185595" - ] - }, - "execution_count": 9, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "main(12, 'Chebyshev')" ] @@ -1642,32 +710,21 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": null, "id": "1215522e", "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:55:11.223224Z", - "iopub.status.busy": "2024-08-17T15:55:11.223157Z", - "iopub.status.idle": "2024-08-17T15:55:11.882339Z", - "shell.execute_reply": "2024-08-17T15:55:11.882121Z" + "iopub.execute_input": "2024-08-17T17:14:17.749977Z", + "iopub.status.busy": "2024-08-17T17:14:17.749895Z", + "iopub.status.idle": "2024-08-17T17:14:18.409756Z", + "shell.execute_reply": "2024-08-17T17:14:18.409545Z" }, "tags": [ "thebe-init" ] }, - "outputs": [ - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "%matplotlib inline\n", "\n", diff --git a/docs/environment.yml b/docs/environment.yml index d2d6ba47..0692e152 100644 --- a/docs/environment.yml +++ b/docs/environment.yml @@ -14,6 +14,7 @@ dependencies: - sympy - pyyaml - scipy + - shenfun - mpi4py - mpi4py-fft - plotly diff --git a/docs/source/functions.ipynb b/docs/source/functions.ipynb index d7008788..cb1528f9 100644 --- a/docs/source/functions.ipynb +++ b/docs/source/functions.ipynb @@ -71,10 +71,10 @@ "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:48.441625Z", - "iopub.status.busy": "2024-08-17T15:54:48.441478Z", - "iopub.status.idle": "2024-08-17T15:54:48.786379Z", - "shell.execute_reply": "2024-08-17T15:54:48.786064Z" + "iopub.execute_input": "2024-08-17T17:13:55.397153Z", + "iopub.status.busy": "2024-08-17T17:13:55.396837Z", + "iopub.status.idle": "2024-08-17T17:13:55.759178Z", + "shell.execute_reply": "2024-08-17T17:13:55.758858Z" }, "tags": [ "thebe-init" @@ -105,10 +105,10 @@ "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:48.787946Z", - "iopub.status.busy": "2024-08-17T15:54:48.787815Z", - "iopub.status.idle": "2024-08-17T15:54:48.789503Z", - "shell.execute_reply": "2024-08-17T15:54:48.789285Z" + "iopub.execute_input": "2024-08-17T17:13:55.760763Z", + "iopub.status.busy": "2024-08-17T17:13:55.760628Z", + "iopub.status.idle": "2024-08-17T17:13:55.762363Z", + "shell.execute_reply": "2024-08-17T17:13:55.762153Z" }, "tags": [ "thebe-init" @@ -138,10 +138,10 @@ "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:48.790632Z", - "iopub.status.busy": "2024-08-17T15:54:48.790559Z", - "iopub.status.idle": "2024-08-17T15:54:48.792288Z", - "shell.execute_reply": "2024-08-17T15:54:48.792096Z" + "iopub.execute_input": "2024-08-17T17:13:55.763630Z", + "iopub.status.busy": "2024-08-17T17:13:55.763547Z", + "iopub.status.idle": "2024-08-17T17:13:55.765352Z", + "shell.execute_reply": "2024-08-17T17:13:55.765136Z" }, "tags": [ "thebe-init" @@ -197,10 +197,10 @@ "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:48.793514Z", - "iopub.status.busy": "2024-08-17T15:54:48.793445Z", - "iopub.status.idle": "2024-08-17T15:54:48.795014Z", - "shell.execute_reply": "2024-08-17T15:54:48.794811Z" + "iopub.execute_input": "2024-08-17T17:13:55.766568Z", + "iopub.status.busy": "2024-08-17T17:13:55.766497Z", + "iopub.status.idle": "2024-08-17T17:13:55.768202Z", + "shell.execute_reply": "2024-08-17T17:13:55.768013Z" }, "tags": [ "thebe-init" @@ -231,10 +231,10 @@ "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:48.796182Z", - "iopub.status.busy": "2024-08-17T15:54:48.796098Z", - "iopub.status.idle": "2024-08-17T15:54:48.801188Z", - "shell.execute_reply": "2024-08-17T15:54:48.800994Z" + "iopub.execute_input": "2024-08-17T17:13:55.769328Z", + "iopub.status.busy": "2024-08-17T17:13:55.769247Z", + "iopub.status.idle": "2024-08-17T17:13:55.774307Z", + "shell.execute_reply": "2024-08-17T17:13:55.774129Z" }, "tags": [ "thebe-init" @@ -423,10 +423,10 @@ "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:48.802694Z", - "iopub.status.busy": "2024-08-17T15:54:48.802621Z", - "iopub.status.idle": "2024-08-17T15:54:48.804268Z", - "shell.execute_reply": "2024-08-17T15:54:48.804076Z" + "iopub.execute_input": "2024-08-17T17:13:55.775792Z", + "iopub.status.busy": "2024-08-17T17:13:55.775722Z", + "iopub.status.idle": "2024-08-17T17:13:55.777354Z", + "shell.execute_reply": "2024-08-17T17:13:55.777171Z" }, "tags": [ "thebe-init" @@ -457,10 +457,10 @@ "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:48.805327Z", - "iopub.status.busy": "2024-08-17T15:54:48.805260Z", - "iopub.status.idle": "2024-08-17T15:54:48.830915Z", - "shell.execute_reply": "2024-08-17T15:54:48.830735Z" + "iopub.execute_input": "2024-08-17T17:13:55.778430Z", + "iopub.status.busy": "2024-08-17T17:13:55.778356Z", + "iopub.status.idle": "2024-08-17T17:13:55.804292Z", + "shell.execute_reply": "2024-08-17T17:13:55.804110Z" }, "tags": [ "thebe-init" @@ -501,10 +501,10 @@ "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:48.832014Z", - "iopub.status.busy": "2024-08-17T15:54:48.831946Z", - "iopub.status.idle": "2024-08-17T15:54:48.833406Z", - "shell.execute_reply": "2024-08-17T15:54:48.833227Z" + "iopub.execute_input": "2024-08-17T17:13:55.805485Z", + "iopub.status.busy": "2024-08-17T17:13:55.805416Z", + "iopub.status.idle": "2024-08-17T17:13:55.806926Z", + "shell.execute_reply": "2024-08-17T17:13:55.806714Z" }, "tags": [ "thebe-init" @@ -542,10 +542,10 @@ "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:48.834439Z", - "iopub.status.busy": "2024-08-17T15:54:48.834371Z", - "iopub.status.idle": "2024-08-17T15:54:48.860561Z", - "shell.execute_reply": "2024-08-17T15:54:48.860371Z" + "iopub.execute_input": "2024-08-17T17:13:55.808004Z", + "iopub.status.busy": "2024-08-17T17:13:55.807941Z", + "iopub.status.idle": "2024-08-17T17:13:55.834861Z", + "shell.execute_reply": "2024-08-17T17:13:55.834662Z" }, "tags": [ "thebe-init" @@ -586,10 +586,10 @@ "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:48.861660Z", - "iopub.status.busy": "2024-08-17T15:54:48.861594Z", - "iopub.status.idle": "2024-08-17T15:54:48.869713Z", - "shell.execute_reply": "2024-08-17T15:54:48.869520Z" + "iopub.execute_input": "2024-08-17T17:13:55.835969Z", + "iopub.status.busy": "2024-08-17T17:13:55.835901Z", + "iopub.status.idle": "2024-08-17T17:13:55.844044Z", + "shell.execute_reply": "2024-08-17T17:13:55.843861Z" }, "tags": [ "thebe-init" @@ -627,10 +627,10 @@ "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:48.870832Z", - "iopub.status.busy": "2024-08-17T15:54:48.870762Z", - "iopub.status.idle": "2024-08-17T15:54:49.054414Z", - "shell.execute_reply": "2024-08-17T15:54:49.054184Z" + "iopub.execute_input": "2024-08-17T17:13:55.845166Z", + "iopub.status.busy": "2024-08-17T17:13:55.845100Z", + "iopub.status.idle": "2024-08-17T17:13:56.018896Z", + "shell.execute_reply": "2024-08-17T17:13:56.018654Z" }, "tags": [ "thebe-init" @@ -674,10 +674,10 @@ "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:49.055808Z", - "iopub.status.busy": "2024-08-17T15:54:49.055642Z", - "iopub.status.idle": "2024-08-17T15:54:49.099665Z", - "shell.execute_reply": "2024-08-17T15:54:49.099405Z" + "iopub.execute_input": "2024-08-17T17:13:56.020378Z", + "iopub.status.busy": "2024-08-17T17:13:56.020219Z", + "iopub.status.idle": "2024-08-17T17:13:56.060843Z", + "shell.execute_reply": "2024-08-17T17:13:56.060629Z" }, "tags": [ "thebe-init" @@ -718,10 +718,10 @@ "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:49.101138Z", - "iopub.status.busy": "2024-08-17T15:54:49.101032Z", - "iopub.status.idle": "2024-08-17T15:54:49.258878Z", - "shell.execute_reply": "2024-08-17T15:54:49.258629Z" + "iopub.execute_input": "2024-08-17T17:13:56.062086Z", + "iopub.status.busy": "2024-08-17T17:13:56.062010Z", + "iopub.status.idle": "2024-08-17T17:13:56.218771Z", + "shell.execute_reply": "2024-08-17T17:13:56.218569Z" }, "tags": [ "thebe-init" @@ -762,10 +762,10 @@ "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:49.260165Z", - "iopub.status.busy": "2024-08-17T15:54:49.260082Z", - "iopub.status.idle": "2024-08-17T15:54:49.262431Z", - "shell.execute_reply": "2024-08-17T15:54:49.262229Z" + "iopub.execute_input": "2024-08-17T17:13:56.220074Z", + "iopub.status.busy": "2024-08-17T17:13:56.219999Z", + "iopub.status.idle": "2024-08-17T17:13:56.222225Z", + "shell.execute_reply": "2024-08-17T17:13:56.222033Z" }, "tags": [ "thebe-init" @@ -855,10 +855,10 @@ "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:49.263587Z", - "iopub.status.busy": "2024-08-17T15:54:49.263515Z", - "iopub.status.idle": "2024-08-17T15:54:49.265033Z", - "shell.execute_reply": "2024-08-17T15:54:49.264815Z" + "iopub.execute_input": "2024-08-17T17:13:56.223373Z", + "iopub.status.busy": "2024-08-17T17:13:56.223303Z", + "iopub.status.idle": "2024-08-17T17:13:56.224828Z", + "shell.execute_reply": "2024-08-17T17:13:56.224633Z" }, "tags": [ "thebe-init" @@ -892,10 +892,10 @@ "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:49.266173Z", - "iopub.status.busy": "2024-08-17T15:54:49.266107Z", - "iopub.status.idle": "2024-08-17T15:54:49.268990Z", - "shell.execute_reply": "2024-08-17T15:54:49.268793Z" + "iopub.execute_input": "2024-08-17T17:13:56.225940Z", + "iopub.status.busy": "2024-08-17T17:13:56.225872Z", + "iopub.status.idle": "2024-08-17T17:13:56.228743Z", + "shell.execute_reply": "2024-08-17T17:13:56.228546Z" }, "tags": [ "thebe-init" @@ -926,10 +926,10 @@ "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:49.270167Z", - "iopub.status.busy": "2024-08-17T15:54:49.270102Z", - "iopub.status.idle": "2024-08-17T15:54:49.271751Z", - "shell.execute_reply": "2024-08-17T15:54:49.271551Z" + "iopub.execute_input": "2024-08-17T17:13:56.229889Z", + "iopub.status.busy": "2024-08-17T17:13:56.229826Z", + "iopub.status.idle": "2024-08-17T17:13:56.231392Z", + "shell.execute_reply": "2024-08-17T17:13:56.231161Z" }, "tags": [ "thebe-init" @@ -977,10 +977,10 @@ "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:49.272773Z", - "iopub.status.busy": "2024-08-17T15:54:49.272703Z", - "iopub.status.idle": "2024-08-17T15:54:49.299716Z", - "shell.execute_reply": "2024-08-17T15:54:49.299462Z" + "iopub.execute_input": "2024-08-17T17:13:56.232401Z", + "iopub.status.busy": "2024-08-17T17:13:56.232340Z", + "iopub.status.idle": "2024-08-17T17:13:56.257363Z", + "shell.execute_reply": "2024-08-17T17:13:56.257143Z" }, "tags": [ "thebe-init" @@ -1039,10 +1039,10 @@ "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:49.301131Z", - "iopub.status.busy": "2024-08-17T15:54:49.301041Z", - "iopub.status.idle": "2024-08-17T15:54:49.319841Z", - "shell.execute_reply": "2024-08-17T15:54:49.319570Z" + "iopub.execute_input": "2024-08-17T17:13:56.258529Z", + "iopub.status.busy": "2024-08-17T17:13:56.258458Z", + "iopub.status.idle": "2024-08-17T17:13:56.277153Z", + "shell.execute_reply": "2024-08-17T17:13:56.276929Z" }, "tags": [ "thebe-init" @@ -1097,10 +1097,10 @@ "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:49.321136Z", - "iopub.status.busy": "2024-08-17T15:54:49.321059Z", - "iopub.status.idle": "2024-08-17T15:54:49.401583Z", - "shell.execute_reply": "2024-08-17T15:54:49.401339Z" + "iopub.execute_input": "2024-08-17T17:13:56.278333Z", + "iopub.status.busy": "2024-08-17T17:13:56.278267Z", + "iopub.status.idle": "2024-08-17T17:13:56.351361Z", + "shell.execute_reply": "2024-08-17T17:13:56.351145Z" }, "tags": [ "thebe-init" @@ -1147,10 +1147,10 @@ "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:49.402874Z", - "iopub.status.busy": "2024-08-17T15:54:49.402797Z", - "iopub.status.idle": "2024-08-17T15:54:49.510223Z", - "shell.execute_reply": "2024-08-17T15:54:49.509994Z" + "iopub.execute_input": "2024-08-17T17:13:56.352598Z", + "iopub.status.busy": "2024-08-17T17:13:56.352519Z", + "iopub.status.idle": "2024-08-17T17:13:56.463167Z", + "shell.execute_reply": "2024-08-17T17:13:56.462941Z" }, "tags": [ "thebe-init" @@ -1193,10 +1193,10 @@ "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:49.511523Z", - "iopub.status.busy": "2024-08-17T15:54:49.511446Z", - "iopub.status.idle": "2024-08-17T15:54:49.556485Z", - "shell.execute_reply": "2024-08-17T15:54:49.556277Z" + "iopub.execute_input": "2024-08-17T17:13:56.464526Z", + "iopub.status.busy": "2024-08-17T17:13:56.464430Z", + "iopub.status.idle": "2024-08-17T17:13:56.513838Z", + "shell.execute_reply": "2024-08-17T17:13:56.513620Z" }, "tags": [ "thebe-init" @@ -1271,10 +1271,10 @@ "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:49.557932Z", - "iopub.status.busy": "2024-08-17T15:54:49.557846Z", - "iopub.status.idle": "2024-08-17T15:54:49.685877Z", - "shell.execute_reply": "2024-08-17T15:54:49.685574Z" + "iopub.execute_input": "2024-08-17T17:13:56.515246Z", + "iopub.status.busy": "2024-08-17T17:13:56.515150Z", + "iopub.status.idle": "2024-08-17T17:13:56.649260Z", + "shell.execute_reply": "2024-08-17T17:13:56.648849Z" }, "tags": [ "thebe-init" @@ -1309,10 +1309,10 @@ "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:49.687338Z", - "iopub.status.busy": "2024-08-17T15:54:49.687252Z", - "iopub.status.idle": "2024-08-17T15:54:49.694000Z", - "shell.execute_reply": "2024-08-17T15:54:49.693744Z" + "iopub.execute_input": "2024-08-17T17:13:56.650820Z", + "iopub.status.busy": "2024-08-17T17:13:56.650714Z", + "iopub.status.idle": "2024-08-17T17:13:56.659577Z", + "shell.execute_reply": "2024-08-17T17:13:56.659306Z" }, "tags": [ "thebe-init" @@ -1340,10 +1340,10 @@ "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:49.695317Z", - "iopub.status.busy": "2024-08-17T15:54:49.695243Z", - "iopub.status.idle": "2024-08-17T15:54:49.737636Z", - "shell.execute_reply": "2024-08-17T15:54:49.737417Z" + "iopub.execute_input": "2024-08-17T17:13:56.660914Z", + "iopub.status.busy": "2024-08-17T17:13:56.660840Z", + "iopub.status.idle": "2024-08-17T17:13:56.703755Z", + "shell.execute_reply": "2024-08-17T17:13:56.703552Z" }, "tags": [ "thebe-init" @@ -1385,10 +1385,10 @@ "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:49.738874Z", - "iopub.status.busy": "2024-08-17T15:54:49.738800Z", - "iopub.status.idle": "2024-08-17T15:54:49.788592Z", - "shell.execute_reply": "2024-08-17T15:54:49.788387Z" + "iopub.execute_input": "2024-08-17T17:13:56.704890Z", + "iopub.status.busy": "2024-08-17T17:13:56.704818Z", + "iopub.status.idle": "2024-08-17T17:13:56.754770Z", + "shell.execute_reply": "2024-08-17T17:13:56.754539Z" }, "tags": [ "thebe-init" @@ -1433,10 +1433,10 @@ "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:49.789824Z", - "iopub.status.busy": "2024-08-17T15:54:49.789742Z", - "iopub.status.idle": "2024-08-17T15:54:49.837308Z", - "shell.execute_reply": "2024-08-17T15:54:49.837102Z" + "iopub.execute_input": "2024-08-17T17:13:56.756016Z", + "iopub.status.busy": "2024-08-17T17:13:56.755938Z", + "iopub.status.idle": "2024-08-17T17:13:56.804905Z", + "shell.execute_reply": "2024-08-17T17:13:56.804689Z" }, "tags": [ "thebe-init" @@ -1481,10 +1481,10 @@ "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:54:49.838528Z", - "iopub.status.busy": "2024-08-17T15:54:49.838458Z", - "iopub.status.idle": "2024-08-17T15:54:49.904340Z", - "shell.execute_reply": "2024-08-17T15:54:49.904132Z" + "iopub.execute_input": "2024-08-17T17:13:56.806108Z", + "iopub.status.busy": "2024-08-17T17:13:56.806027Z", + "iopub.status.idle": "2024-08-17T17:13:56.869158Z", + "shell.execute_reply": "2024-08-17T17:13:56.868951Z" }, "tags": [ "thebe-init" diff --git a/docs/source/mixingbases.ipynb b/docs/source/mixingbases.ipynb index 7a42f513..70f117e5 100644 --- a/docs/source/mixingbases.ipynb +++ b/docs/source/mixingbases.ipynb @@ -198,10 +198,10 @@ "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:55:06.562540Z", - "iopub.status.busy": "2024-08-17T15:55:06.562199Z", - "iopub.status.idle": "2024-08-17T15:55:06.962865Z", - "shell.execute_reply": "2024-08-17T15:55:06.962559Z" + "iopub.execute_input": "2024-08-17T17:14:13.009457Z", + "iopub.status.busy": "2024-08-17T17:14:13.009128Z", + "iopub.status.idle": "2024-08-17T17:14:13.412154Z", + "shell.execute_reply": "2024-08-17T17:14:13.411706Z" }, "tags": [ "thebe-init" @@ -238,10 +238,10 @@ "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:55:06.964486Z", - "iopub.status.busy": "2024-08-17T15:55:06.964281Z", - "iopub.status.idle": "2024-08-17T15:55:06.966665Z", - "shell.execute_reply": "2024-08-17T15:55:06.966449Z" + "iopub.execute_input": "2024-08-17T17:14:13.413583Z", + "iopub.status.busy": "2024-08-17T17:14:13.413443Z", + "iopub.status.idle": "2024-08-17T17:14:13.415836Z", + "shell.execute_reply": "2024-08-17T17:14:13.415629Z" }, "tags": [ "thebe-init" @@ -301,10 +301,10 @@ "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:55:06.967881Z", - "iopub.status.busy": "2024-08-17T15:55:06.967806Z", - "iopub.status.idle": "2024-08-17T15:55:06.970813Z", - "shell.execute_reply": "2024-08-17T15:55:06.970619Z" + "iopub.execute_input": "2024-08-17T17:14:13.417017Z", + "iopub.status.busy": "2024-08-17T17:14:13.416937Z", + "iopub.status.idle": "2024-08-17T17:14:13.419850Z", + "shell.execute_reply": "2024-08-17T17:14:13.419647Z" }, "tags": [ "thebe-init" @@ -334,10 +334,10 @@ "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:55:06.971978Z", - "iopub.status.busy": "2024-08-17T15:55:06.971895Z", - "iopub.status.idle": "2024-08-17T15:55:07.190841Z", - "shell.execute_reply": "2024-08-17T15:55:07.190537Z" + "iopub.execute_input": "2024-08-17T17:14:13.420966Z", + "iopub.status.busy": "2024-08-17T17:14:13.420899Z", + "iopub.status.idle": "2024-08-17T17:14:13.646587Z", + "shell.execute_reply": "2024-08-17T17:14:13.646271Z" }, "tags": [ "thebe-init" @@ -366,10 +366,10 @@ "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:55:07.192132Z", - "iopub.status.busy": "2024-08-17T15:55:07.192060Z", - "iopub.status.idle": "2024-08-17T15:55:07.198464Z", - "shell.execute_reply": "2024-08-17T15:55:07.198262Z" + "iopub.execute_input": "2024-08-17T17:14:13.648155Z", + "iopub.status.busy": "2024-08-17T17:14:13.648071Z", + "iopub.status.idle": "2024-08-17T17:14:13.655181Z", + "shell.execute_reply": "2024-08-17T17:14:13.654936Z" }, "tags": [ "thebe-init" @@ -402,10 +402,10 @@ "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:55:07.199769Z", - "iopub.status.busy": "2024-08-17T15:55:07.199683Z", - "iopub.status.idle": "2024-08-17T15:55:07.246839Z", - "shell.execute_reply": "2024-08-17T15:55:07.246643Z" + "iopub.execute_input": "2024-08-17T17:14:13.656454Z", + "iopub.status.busy": "2024-08-17T17:14:13.656378Z", + "iopub.status.idle": "2024-08-17T17:14:13.703936Z", + "shell.execute_reply": "2024-08-17T17:14:13.703754Z" }, "tags": [ "thebe-init" @@ -448,10 +448,10 @@ "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:55:07.248051Z", - "iopub.status.busy": "2024-08-17T15:55:07.247984Z", - "iopub.status.idle": "2024-08-17T15:55:07.250839Z", - "shell.execute_reply": "2024-08-17T15:55:07.250635Z" + "iopub.execute_input": "2024-08-17T17:14:13.705064Z", + "iopub.status.busy": "2024-08-17T17:14:13.704997Z", + "iopub.status.idle": "2024-08-17T17:14:13.708289Z", + "shell.execute_reply": "2024-08-17T17:14:13.708089Z" }, "tags": [ "thebe-init" @@ -530,10 +530,10 @@ "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:55:07.251949Z", - "iopub.status.busy": "2024-08-17T15:55:07.251880Z", - "iopub.status.idle": "2024-08-17T15:55:07.496506Z", - "shell.execute_reply": "2024-08-17T15:55:07.496255Z" + "iopub.execute_input": "2024-08-17T17:14:13.709372Z", + "iopub.status.busy": "2024-08-17T17:14:13.709307Z", + "iopub.status.idle": "2024-08-17T17:14:13.953715Z", + "shell.execute_reply": "2024-08-17T17:14:13.953475Z" }, "tags": [ "thebe-init" @@ -571,10 +571,10 @@ "metadata": { "editable": true, "execution": { - "iopub.execute_input": "2024-08-17T15:55:07.497770Z", - "iopub.status.busy": "2024-08-17T15:55:07.497693Z", - "iopub.status.idle": "2024-08-17T15:55:07.906037Z", - "shell.execute_reply": "2024-08-17T15:55:07.905707Z" + "iopub.execute_input": "2024-08-17T17:14:13.954949Z", + "iopub.status.busy": "2024-08-17T17:14:13.954865Z", + "iopub.status.idle": "2024-08-17T17:14:14.358313Z", + "shell.execute_reply": "2024-08-17T17:14:14.357993Z" }, "tags": [ "thebe-init" @@ -1463,9 +1463,9 @@ } }, "text/html": [ - 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