Numerical Analysis in Coq

Formal developments and proofs in Coq of numerical analysis problems.

Authors: Aubry, Boldo, Clément, Faissole, Leclerc, Martin, Mayero, Mouhcine

This archive includes several Coq developments:

• Lebesgue directory is about the Lebesgue Integration of Nonnegative Functions (see paper, paper, and report);

• Lebesgue/bochner_integral directory is about the Bochner integral (see report);

• LM directory is about the Lax–Milgram theorem (see paper, paper, and report);

Opam package coq-num-analysis: version 1.0 provides Lebesgue, and LM.

Lebesgue and LM are compiling in Coq 8.12 to 8.16.

Dependencies:

• coq-mathcomp-ssreflect (prior to version 2)
• coq-mathcomp-bigenough
• coq-mathcomp-finmap
• coq-mathcomp-fingroup
• coq-coquelicot
• coq-mathcomp-algebra
• coq-mathcomp-multinomials
• coq-mathcomp-classical
• coq-flocq