A bounded variation estimate for the FORCE scheme applied to strictly hyperbolic systems of conservation laws in the temple class (Q2836511)
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scientific article; zbMATH DE number 6183399
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A bounded variation estimate for the FORCE scheme applied to strictly hyperbolic systems of conservation laws in the temple class |
scientific article; zbMATH DE number 6183399 |
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3 July 2013
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FORCE scheme
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BV estimates
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two-step monotonization scheme
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A bounded variation estimate for the FORCE scheme applied to strictly hyperbolic systems of conservation laws in the temple class (English)
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The author considers the Cauchy problem for a strictly hyperbolic system of conservation laws \(u_t+f(u)_x=0\) belonging to the Temple class, and presents a new proof of a uniform bounded variation estimate for the Godunov scheme, which simplifies the original probabilistic proof by \textit{A. Bressan} and \textit{H. K. Jenssen} [Chin. Ann. Math., Ser. B 21, No. 3, 269--284 (2000; Zbl 0959.35110)]. Similarly, a bounded variation estimate is derived for the approximate solutions of two-step monotonization scheme (the FORCE scheme) provided the initial data has small total variation.
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