Applications of Nonstandard Finite Difference Schemes
Applications of Nonstandard Finite Difference Schemes
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Author: R E Mickens
Page Count: 264 pages
Published Date: 01 May 2000
Publisher: World Scientific Publishing Co Pte Ltd
Publication Country: Singapore, Singapore
Language: English
Type: PDF
ISBN: 9789810241339
Download Link: Applications of Nonstandard Finite Difference Schemes
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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.
Read online Applications of Nonstandard Finite Difference Schemes Buy and read online Applications of Nonstandard Finite Difference Schemes Download Applications of Nonstandard Finite Difference Schemes ebook, pdf, djvu, epub, mobi, fb2, zip, rar, torrent Download to iPad/iPhone/iOS, B&N nook Applications of Nonstandard Finite Difference Schemes
Applications of Nonstandard Finite Difference Schemes. R E Mickens
Author: R E Mickens
Page Count: 264 pages
Published Date: 01 May 2000
Publisher: World Scientific Publishing Co Pte Ltd
Publication Country: Singapore, Singapore
Language: English
Type: PDF
ISBN: 9789810241339
Download Link: Applications of Nonstandard Finite Difference Schemes
---------------------------------------------------------------
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.
Read online Applications of Nonstandard Finite Difference Schemes Buy and read online Applications of Nonstandard Finite Difference Schemes Download Applications of Nonstandard Finite Difference Schemes ebook, pdf, djvu, epub, mobi, fb2, zip, rar, torrent Download to iPad/iPhone/iOS, B&N nook Applications of Nonstandard Finite Difference Schemes