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Relationship between the truncation errors of centered finite-difference approximations on uniform and nonuniform meshes - MaRDI portal

Relationship between the truncation errors of centered finite-difference approximations on uniform and nonuniform meshes (Q794416)

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scientific article; zbMATH DE number 3860346
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English
Relationship between the truncation errors of centered finite-difference approximations on uniform and nonuniform meshes
scientific article; zbMATH DE number 3860346

    Statements

    Relationship between the truncation errors of centered finite-difference approximations on uniform and nonuniform meshes (English)
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    1982
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    The author points out that in finite difference approximation on a one dimensional nonuniform mesh the nonuniform mesh may be regarded as a mapping of a uniform mesh by a change of independent variable. The error is then of higher order in the uniform mesh length allowing the use of a deferred approach to the limit.
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    truncation errors
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    centered finite-difference approximations
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    nonuniform meshes
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    coordinate transformations
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    grid generation methods
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    conformal transformations
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    Poisson's equation
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