Nonstandard Finite Difference Models...
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Book Overview This book provides a clear summary of the work of the author on the construction of nonstandard finite difference schemes for the numeric...
This book provides a clear summary of the work of the author on the construction of nonstandard finite difference schemes for the numerical integration of differential equations. The major thrust of the book is to show that discrete models of differential equations exist such that the elementary types of numerical instabilities do not occur. A consequence of this result is that in general bigger step-sizes can often be used in actual calculations and/or finite difference schemes can be constructed that are conditionally stable in many instances whereas in using standard techniques no such schemes exist. The theoretical basis of this work is centered on the concepts of "exact" and "best" finite difference schemes. In addition, a set of rules is given for the discrete modeling of derivatives and nonlinear expressions that occur in differential equations. These rules often lead to a unique nonstandard finite difference model for a given differential equation.
Book Details Format: Hardcover | Pages: 249 | Language: English | Publisher: WORLD SCIENTIFIC PUB CO INC | ISBN: 9810214588
FormatHardcover
Pages249
LanguageEnglish
ISBN9810214588
EAN9789810214586
PublisherWORLD SCIENTIFIC PUB CO INC
Publication Date2001-01-01
AccessoriesNo Accessory
ConditionNew
Product TypeHARD COVER BOOKS
Weight1.1 Pounds
Length8.7 Inches
Width6.1 Inches
Height0.8 Inches
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