Formal Proof of a Wave Equation Resolution Scheme: the Method Error

Details Formal Proof of a Wave Equation Resolution Scheme: the Method Error Formal Proof of a Wave Equation Resolution Scheme: the Method Error

2010-01-27

arxiv.org/abs/1001.4898v3

Computer Science

Logic in Computer Science

This paper has been withdrawn by the authors. Please refere to arXiv:1005.0824

Scientific paper

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 formalization of the simplest one and formally prove its convergence in Coq. The main difficulties lie in the proper definition of asymptotic behaviors and the implicit way they are handled in the mathematical pen-and-paper proofs. To our knowledge, this is the first time such kind of mathematical proof is machine-checked.

Affiliated with

Also associated with

No associations

Rating

Formal Proof of a Wave Equation Resolution Scheme: the Method Error does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Formal Proof of a Wave Equation Resolution Scheme: the Method Error, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Formal Proof of a Wave Equation Resolution Scheme: the Method Error will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-239170