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Applications of Nonstandard Finite Difference Schemes [Hardcover]

By Ronald E. Mickens (Editor)
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Item description for Applications of Nonstandard Finite Difference Schemes by Ronald E. Mickens...

An introduction to the methods and philosophy of constructing nonstandard finite difference schemes. It illustrates how such techniques can be applied to several important problems. Chapter One gives an overview of the subject and summarizes previous work. Chapters Two and Three consider in detail the construction and numerical implementation of schemes for physical problems involving convection-diffusion-reaction equations that rise in groundwater pollution and scattering of electromagnetic waves using Maxwell's equations. Chapter Four examines certain mathematical issues related to the nonstandard discretization of competitive and co-operative models for ecology. Chapter Five discusses exactness, stability properties, and the symplecticity of various schemes including the conditions for which Runge-Kutta methods are exact. The application chapters illustrate the power of nonstandard methods. In particular, for the same accuracy as obtained by standard techniques, larger step sizes can be used.

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Item Specifications...

Studio: World Scientific Publishing Company
Pages   250
Est. Packaging Dimensions:   Length: 0.75" Width: 6.5" Height: 9"
Weight:   1.1 lbs.
Binding  Hardcover
Publisher   World Scientific Publishing Company
ISBN  981024133X  
ISBN13  9789810241339  

Availability  0 units.

More About Ronald E. Mickens

Register your artisan biography and upload your photo! Ronald E. Mickens was born in 1943 and has an academic affiliation as follows - Clark Atlanta University, SW Atlanta, Georgia, USA.

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Product Categories

1Books > Subjects > Professional & Technical > Professional Science > Mathematics > Applied > General
2Books > Subjects > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Number Theory
3Books > Subjects > Science > General
4Books > Subjects > Science > Mathematics > Applied > General
5Books > Subjects > Science > Mathematics > Applied
6Books > Subjects > Science > Mathematics > General
7Books > Subjects > Science > Mathematics > Pure Mathematics > Number Theory
8Books > Subjects > Science > Physics > General
9Books > Subjects > Science > Physics
10Books > Subjects > Science > Technology > General & Reference
11Books > Subjects > Science > Technology

Reviews - What do customers think about Applications of Nonstandard Finite Difference Schemes?

Potentially great  Sep 21, 2001
I have only had a borrowed copy for a few days, but this could be the biggest break through since the PC.
Everyone who models ODEs & PDEs with finite differences
should have this book.
Well written, but the math is dense.

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