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Error estimates for a finite-difference approximation of a mean field model of superconducting vortices in one-dimension - MaRDI portal

Error estimates for a finite-difference approximation of a mean field model of superconducting vortices in one-dimension (Q2748865)

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scientific article; zbMATH DE number 1663502
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Error estimates for a finite-difference approximation of a mean field model of superconducting vortices in one-dimension
scientific article; zbMATH DE number 1663502

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    Error estimates for a finite-difference approximation of a mean field model of superconducting vortices in one-dimension (English)
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    20 December 2002
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    superconducting vortices
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    finite-difference methods
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    error estimates
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    numerical examples
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    mean field models
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    This paper is concerned with a system of equations in 1-D arising in the context of mean field models of superconducting vortices. Mainly in the style of the classical Kuznetsov approximation theory for conservation laws, the author develops error estimates for a semi-implicit finite difference method. The theoretical results are confirmed by some numerical tests.
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