70 citations · 92 across the 5 of their papers we have counts for
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Wave Equation Numerical Resolution: a Comprehensive Mechanized Proof of a C Program
Sylvie Boldo, Francois Clement, Jean-Christophe Filliâtre +3
We formally prove correct a C program that implements a numerical scheme for the resolution of the one-dimensional acoustic wave equation. Such an implementation introduces errors…
Formal Proof of a Wave Equation Resolution Scheme: the Method Error
Sylvie Boldo, François Clément, Jean-Christophe Filliâtre +3
Popular finite difference numerical schemes for the resolution of the one-dimensional acoustic wave equation are well-known to be convergent. We present a comprehensive formalizati…
Formal Proof of a Wave Equation Resolution Scheme: the Method Error
Sylvie Boldo, François Clément, Jean-Christophe Filliâtre +3
Popular finite difference numerical schemes for the resolution of the one-dimensional acoustic wave equation are well-known to be convergent. We present a comprehensive formalizati…