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On the solution of nonlinear hyperbolic differential equations by finite differences
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Citations
Cited by
On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
Harten, A., Lax, P. D., & Leer, B. V. (1983) · SIAM Review · doi:10.1137/1025002 · Cited by 3,429
Survey of the stability of linear finite difference equations
Lax, P. D., & Richtmyer, R. D. (1956) · Communications on Pure and Applied Mathematics · doi:10.1002/cpa.3160090206 · Cited by 826
CHIMERE 2013: a model for regional atmospheric composition modelling
Menut, L., Bessagnet, B., Khvorostyanov, D., Beekmann, M., Blond, N., Colette, A., Coll, I., Curci, G., Foret, G., Hodzic, A., et al. (2013) · Geoscientific Model Development · doi:10.5194/gmd-6-981-2013 · Cited by 517
Mathematical modelling of avascular-tumour growth
Ward, J. (1997) · Mathematical Medicine and Biology · doi:10.1093/imammb/14.1.39 · Cited by 375
Inertial dilute particulate fluid flow simulations with an Euler–Euler lattice Boltzmann method
Trunk, R., Henn, T., Dörfler, W., Nirschl, H., & Krause, M. J. (2016) · Journal of Computational Science · doi:10.1016/j.jocs.2016.03.013 · Cited by 31
Metadata
- Authors
- Courant, R., Isaacson, E., & Rees, M.
- Venue
- Communications on Pure and Applied Mathematics
- Publisher
- Wiley
- Published
- 1952-08
- Volume
- 5
- Issue
- 3
- Pages
- 243-255
- ISSN
- 0010-3640 (ISSN-L)
- 1097-0312
- OpenAlex
- W2093842327
- Cited by
- 1,041
- References
- 0
- FWCI
- 7.15
- Type
- journal article
- Language
- en
- Open access
- closed
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Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
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How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: On the solution of nonlinear hyperbolic differential equations by finite differences. https://app.cochat.ai/papers/10.1002/cpa.3160050303
- The paper
- Courant, R., Isaacson, E., & Rees, M. (1952). On the solution of nonlinear hyperbolic differential equations by finite differences. Communications on Pure and Applied Mathematics. https://doi.org/10.1002/cpa.3160050303
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
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.
