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A Lax-Wendroff type theorem for upwind finite volume schemes in 2-D. (English) Zbl 0872.65093

The authors consider a system of hyperbolic conservation laws in several space dimensions. They generalize the Lax-Wendroff theorem [cf. P. D. Lax and B. Wendroff, Commun. Pure Appl. Math. 13, 217-237 (1960; Zbl 0152.44802)] for schemes in conservation form in 1-D to finite volume schemes in 2-D.

MSC:

65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
35L65 Hyperbolic conservation laws

Citations:

Zbl 0152.44802
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