Kröner, D.; Rokyta, M.; Wierse, M. A Lax-Wendroff type theorem for upwind finite volume schemes in 2-D. (English) Zbl 0872.65093 East-West J. Numer. Math. 4, No. 4, 279-292 (1996). 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. Reviewer: K.T.S.R.Iyengar (Bangalore) Cited in 17 Documents 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 Keywords:convergence; system of hyperbolic conservation laws; Lax-Wendroff theorem; finite volume schemes Citations:Zbl 0152.44802 × Cite Format Result Cite Review PDF