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arXiv · 1007.3313

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

Erwan Deriaz
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Abstract

This paper presents original and close to optimal stability conditions linking the time step and the space step, stronger than the CFL criterion: $δt\leq Cδx^α$ with $α=\frac{2r}{2r-1}$, $r$ 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.

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Erwan Deriaz. 2011-09-08. Stability conditions for the numerical solution of convection-dominated problems with skew-symmetric discretizations. https://arxiv.org/abs/1007.3313

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