Nonstandard finite difference schemes : methodology and applications

著者

    • Mickens, Ronald E.

書誌事項

Nonstandard finite difference schemes : methodology and applications

Ronald E Mickens

World Scientific, c2021

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注記

Includes bibliographical references (p. 307-309) and index

内容説明・目次

内容説明

This second edition of Nonstandard Finite Difference Models of Differential Equations provides an update on the progress made in both the theory and application of the NSFD methodology during the past two and a half decades. In addition to discussing details related to the determination of the denominator functions and the nonlocal discrete representations of functions of dependent variables, we include many examples illustrating just how this should be done.Of real value to the reader is the inclusion of a chapter listing many exact difference schemes, and a chapter giving NSFD schemes from the research literature. The book emphasizes the critical roles played by the 'principle of dynamic consistency' and the use of sub-equations for the construction of valid NSFD discretizations of differential equations.

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