Moving mesh methods with upwinding schemes for time-dependent PDEs (Q677007)

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scientific article; zbMATH DE number 994010
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Moving mesh methods with upwinding schemes for time-dependent PDEs
scientific article; zbMATH DE number 994010

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    Moving mesh methods with upwinding schemes for time-dependent PDEs (English)
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    28 July 1997
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    A combination of moving meshes and upwinding schemes is considered for tracking the shock or steep wave front in the solution of partial differential equations. Several upwinding schemes are applied for uniform meshes. A self-adapting moving mesh method is also described. It is shown that the local piecewise hyperbolic method is very efficient and accurate when combined with a moving mesh strategy.
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    moving mesh methods
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    conservation laws
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    upwinding schemes
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    shock
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    wave front
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