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Well-balanced schemes versus fractional step method for hyperbolic systems with source terms

✍ Scribed by Thierry Gallouet; Jean-Marc Hérard; Olivier Hurisse; Alain-Yves LeRoux


Book ID
106270597
Publisher
Springer Milan
Year
2006
Tongue
English
Weight
379 KB
Volume
43
Category
Article
ISSN
0008-0624

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For wave phenomena in one spatial dimension, governed by hyperbolic partial di erential equations with source terms, the standard Lax-Wendro scheme leads to oscillations at discontinuous wavefronts even if the Courant-Friedrich-Lewy (CFL) number is set equal to unity. We modify the Lax-Wendro scheme