Error bounds of finite difference schemes for multi-dimensional scalar conservation laws with source terms

Wen Shen

doi:10.1093/imanum/19.1.77

Error bounds of finite difference schemes for multi-dimensional scalar conservation laws with source terms

Wen Shen

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

1 Scopus citations

Abstract

This paper studies explicit and semi-implicit finite difference schemes approximating non-homogeneous multi-dimensional scalar conservation laws with both stiff and non-stiff source terms. Error bounds of order O(√Δt) are presented for both cases.

Original language	English (US)
Pages (from-to)	77-89
Number of pages	13
Journal	IMA Journal of Numerical Analysis
Volume	19
Issue number	1
DOIs	https://doi.org/10.1093/imanum/19.1.77
State	Published - Jan 1999

All Science Journal Classification (ASJC) codes

General Mathematics
Computational Mathematics
Applied Mathematics

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10.1093/imanum/19.1.77

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abstract = "This paper studies explicit and semi-implicit finite difference schemes approximating non-homogeneous multi-dimensional scalar conservation laws with both stiff and non-stiff source terms. Error bounds of order O(√Δt) are presented for both cases.",

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Error bounds of finite difference schemes for multi-dimensional scalar conservation laws with source terms

Abstract

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