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Formally verified numerical integration of an ordinary differential equation

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VerifiedLeapfrog

Formally verified leapfrog integration of the simple harmonic oscillator

The Stormer-Verlet ("leapfrog") method is a numerical method for solving ordinary differential equations (ODEs).

This repository contains Coq proofs for the formal verification of a C implementation of leapfrog integration of the simple harmonic oscillator.

A dependency graph for our theorems in the leapfrog_project directory can be found in the project paper draft.

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Formally verified numerical integration of an ordinary differential equation

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