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Cited by 3,429

The DOI matches its Crossref record; 9 of the 9 references it cites were found in a registry or an index.

On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws

Harten, Amiram, Lax, Peter D., Leer, Bram van·1983·SIAM Review
DOI 10.1137/1025002
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Abstract

This paper reviews some of the recent developments in upstream difference schemes through a unified representation, in order to enable comparison between the various schemes. Special attention is given to the Godunov-type schemes that result from using an approximate solution of the Riemann problem. For schemes based on flux splitting, the approximate Riemann solution can be interpreted as a solution of the collisionless Boltzmann equation.

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Metadata

Authors
Harten, A., Lax, P. D., & Leer, B. V.
Venue
SIAM Review
Publisher
Society for Industrial & Applied Mathematics (SIAM)
Published
1983-01
Volume
25
Issue
1
Pages
35-61
ISSN
  • 0036-1445 (ISSN-L)
  • 1095-7200
DOI
10.1137/1025002
OpenAlex
W2043057066
Cited by
3,429
References
9
FWCI
22.68
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws. https://app.cochat.ai/papers/10.1137/1025002
The paper
Harten, A., Lax, P. D., & Leer, B. V. (1983). On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws. SIAM Review. https://doi.org/10.1137/1025002

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.