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Error bounds for the large time step Glimm scheme applied to scalar conservation laws - MaRDI portal

Error bounds for the large time step Glimm scheme applied to scalar conservation laws (Q1597700)

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scientific article; zbMATH DE number 1747963
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Error bounds for the large time step Glimm scheme applied to scalar conservation laws
scientific article; zbMATH DE number 1747963

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    Error bounds for the large time step Glimm scheme applied to scalar conservation laws (English)
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    30 May 2002
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    This paper obtains an error bound in the large time step Glimm difference approximation to the solution of an initial value problem for a single conservation law with convex flux. It describes the Glimm scheme and then derives the error estimate for much larger Courant numbes for a generic class of piecewise constant initial data; the result is indeed analogous to that given earlier for the classical Glimm scheme.
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    discontinuous solution
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    error bound
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    large time step
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    Glimm difference approximation
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    initial value problem
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    conservation law
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