×

zbMATH — the first resource for mathematics

High resolution schemes for conservation laws with locally varying time steps. (English) Zbl 0980.35015
The authors developed upwind methods which use limited high resolution corrections in the spatial discretization and local time stepping for forward Euler and second-order time discretization. A stability result for a constant coefficient case will be derived for this higher-order method. Numerical evidence demonstrates the stability and accuracy of the methods for problems in both one and two space dimensions.

MSC:
35A35 Theoretical approximation in context of PDEs
65M30 Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs
35L65 Hyperbolic conservation laws
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
PDF BibTeX XML Cite
Full Text: DOI