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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Studio: World Scientific Publishing Company
Est. Packaging Dimensions: Length: 0.75" Width: 6.5" Height: 9" Weight: 1.1 lbs.
Publisher World Scientific Publishing Company
ISBN 981024133X ISBN13 9789810241339
Availability 0 units.
More About Ronald E. Mickens
Ronald E. Mickens was born in 1943 and has an academic affiliation as follows - Clark Atlanta University, SW Atlanta, Georgia, USA.
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.