Finite difference-streamline diffusion method for quasi-linear Sobolev equations (Q2780883)

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scientific article; zbMATH DE number 1720093
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Finite difference-streamline diffusion method for quasi-linear Sobolev equations
scientific article; zbMATH DE number 1720093

    Statements

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    14 March 2002
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    convection term
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    finite difference streamline diffusion scheme
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    quasi-linear Sobolev equations
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    error estimate
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    Finite difference-streamline diffusion method for quasi-linear Sobolev equations (English)
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    The authors give a finite difference streamline diffusion scheme for solving quasi-linear Sobolev equations. They prove the solvability of the given scheme and derive a quasi-optimal error estimate in \(L^\infty(L^2)\)-norm, which has \(1\)-order accuracy in time direction and quasi-optimal order in space variables.
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