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

Computer Science – Logic in Computer Science

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

replaces arXiv:1001.4898

Scientific paper

10.1007/978-3-642-14052-5_12

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.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

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

     

Profile ID: LFWR-SCP-O-438061

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.