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Relaxation Schemes for Conservation Laws with Discontinuous Coefficients

K. H. Karlsen (), C. Klingenberg () and N. H. Risebro ()
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K. H. Karlsen: University of Bergen, Department of Mathematics
C. Klingenberg: University of Würzburg, Department of Applied Mathematics and Statistics
N. H. Risebro: University of Oslo, Department of Mathematics

A chapter in Hyperbolic Problems: Theory, Numerics, Applications, 2003, pp 611-620 from Springer

Abstract: Abstract We study relaxation schemes for conservation laws with discontinuous coefficients, and compare these numerically with an Engquist-Osher type scheme and with a front tracking method. If the coefficients are of bounded variation, the first order relaxation scheme, the Engquist-Osher scheme, and the front tracking method converge to a weak solution.

Keywords: Weak Solution; Riemann Problem; Riemann Solver; Flux Function; Relaxation Scheme (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-55711-8_57

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DOI: 10.1007/978-3-642-55711-8_57

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