An analysis of time discretization in the finite element solution of hyperbolic problems (Q1090089)

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scientific article; zbMATH DE number 4007646
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An analysis of time discretization in the finite element solution of hyperbolic problems
scientific article; zbMATH DE number 4007646

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    An analysis of time discretization in the finite element solution of hyperbolic problems (English)
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    1987
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    Dispersive and dissipative properties of several finite element schemes are examined for hyperbolic partial differential equations. In contrast to the majority of papers on this subject, the authors perform a discretization in time before applying the Galerkin method.
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    numerical examples
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    time discretization
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    finite elements
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    advection problems
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    Courant number
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    optimal stability
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    Tayler series expansion
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    Taylor-Galerkin methods
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    Lax-Wendroff schemes
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    finite differences
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    leap- frog schemes
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    Crank-Nicolson schemes
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    dispersivity
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    dissipativity
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