The Concept of Stability in Numerical Mathematics (Paperback, Softcover reprint of the original 1st ed. 2014)

In this book, the author compares the meaning of stability in different subfields of numerical mathematics. Concept of Stability in numerical mathematics opens by examining the stability of finite algorithms. A more precise definition of stability holds for quadrature and interpolation methods, which the following chapters focus on. The discussion then progresses to the numerical treatment of ordinary differential equations (ODEs). While one-step methods for ODEs are always stable, this is not the case for hyperbolic or parabolic differential equations, which are investigated next. The final chapters discuss stability for discretisations of elliptic differential equations and integral equations. In comparison among the subfields we discuss the practical importance of stability and the possible conflict between higher consistency order and stability.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Springer Series in Computational Mathematics, 45
Release date:	August 2016
First published:	2014
Authors:	Wolfgang Hackbusch
Dimensions:	235 x 155 x 11mm (L x W x T)
Format:	Paperback
Pages:	188
Edition:	Softcover reprint of the original 1st ed. 2014
ISBN-13:	978-3-662-51371-2
Categories:	Books > Science & Mathematics > Mathematics > Numerical analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Integral equations
LSN:	3-662-51371-4
Barcode:	9783662513712

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