On the accuracy of stable schemes for 2d scalar conservation laws

Jonathan B. Goodman; Randall J. Leveque

doi:10.1090/S0025-5718-1985-0790641-4

On the accuracy of stable schemes for 2d scalar conservation laws

Jonathan B. Goodman, Randall J. Leveque

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We show that any conservative scheme for solving scalar conservation laws in two space dimensions, which is total variation diminishing, is at most first-order accurate.

Original language	English (US)
Pages (from-to)	15-21
Number of pages	7
Journal	Mathematics of Computation
Volume	45
Issue number	171
DOIs	https://doi.org/10.1090/S0025-5718-1985-0790641-4
State	Published - Jul 1985

ASJC Scopus subject areas

Algebra and Number Theory
Computational Mathematics
Applied Mathematics

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title = "On the accuracy of stable schemes for 2d scalar conservation laws",

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On the accuracy of stable schemes for 2d scalar conservation laws

Abstract

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