Abstract
In this paper, we show how to modify the random choice method of Glimm by replacing the exact solution of the Riemann problem with an appropriate finite difference approximation. Our modification resolves discontinuities as well as Glimm's scheme, but is computationally more efficient and is easier to extend to more general situations.
Keywords
MathematicsConservation lawClassification of discontinuitiesScheme (mathematics)Riemann problemFinite differenceApplied mathematicsRiemann hypothesisFinite difference methodFinite difference schemeMathematical analysis
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Publication Info
- Year
- 1981
- Type
- article
- Volume
- 18
- Issue
- 2
- Pages
- 289-315
- Citations
- 113
- Access
- Closed
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Cite This
Amiram Harten,
Peter D. Lax
(1981).
A Random Choice Finite Difference Scheme for Hyperbolic Conservation Laws.
SIAM Journal on Numerical Analysis
, 18
(2)
, 289-315.
https://doi.org/10.1137/0718021
Identifiers
- DOI
- 10.1137/0718021