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A unified derivation of finite-difference schemes from solution matching - MaRDI portal

A unified derivation of finite-difference schemes from solution matching (Q2804374)

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scientific article; zbMATH DE number 6575165
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A unified derivation of finite-difference schemes from solution matching
scientific article; zbMATH DE number 6575165

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    A unified derivation of finite-difference schemes from solution matching (English)
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    29 April 2016
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    finite difference schemes
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    higher-order methods
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    Burgers' equation
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    stability
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    algorithm
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    The paper proposes a new method for solving partial differential equations which ``views finite difference schemes as systematic ways of matching up to the operator solution'' of the equation. The stability of ``the first-order algorithm for an entire class of linear equations'' is proved.
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