Stability conditions for the numerical solution of convection-dominated problems with skew-symmetric discretizations

Details Stability conditions for the numerical solution of convection-dominated problems with skew-symmetric discretizations Stability conditions for the numerical solution of convection-dominated problems with skew-symmetric discretizations

2010-07-20

arxiv.org/abs/1007.3313v3

Mathematics

Numerical Analysis

27 pages

Scientific paper

This paper presents original and close to optimal stability conditions linking the time step and the space step, stronger than the CFL criterion: $\delta t\leq C\delta x^\alpha$ with $\alpha=\frac{2r}{2r-1}$, $r$ an integer, for some numerical schemes we produce, when solving convection-dominated problems. We test this condition numerically and prove that it applies to nonlinear equations under smoothness assumptions.

Affiliated with

Also associated with

No associations

Rating

Stability conditions for the numerical solution of convection-dominated problems with skew-symmetric discretizations 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 Stability conditions for the numerical solution of convection-dominated problems with skew-symmetric discretizations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stability conditions for the numerical solution of convection-dominated problems with skew-symmetric discretizations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-124882