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Well-Balanced High Order Extensions of Godunov's Method for Semilinear Balance Laws

✍ Scribed by Castro, Manuel; Gallardo, José M.; López-GarcÍa, Juan A.; Parés, Carlos

Book ID
118190137
Publisher
Society for Industrial and Applied Mathematics
Year
2008
Tongue
English
Weight
487 KB
Volume
46
Category
Article
ISSN
0036-1429

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In this article, we propose a new class of finite volume schemes of arbitrary accuracy in space and time for systems of hyperbolic balance laws with stiff source terms. The new class of schemes is based on a three stage procedure. First a highorder WENO reconstruction procedure is applied to the cel