Nonstandard Finite Difference Models of Differential Equations - Couverture rigide

 
9789810214586: Nonstandard Finite Difference Models of Differential Equations
Couverture rigide
ISBN 10 : 9810214588 ISBN 13 : 9789810214586
Editeur : World Scientific Publishing Co Pte Ltd, 1993

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
World Scientific Publishing Co Pte Ltd
Date d'édition
1993
Langue
anglais
ISBN 10 
9810214588
ISBN 13 
9789810214586
Reliure
Relié
Nombre de pages
264
Éditeur
Mickens Ronald E
Coordonnées du fabricant
World Scientific Publishing
https://www.worldscientific.com/

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