Wolfgang Hackbusch

(Author)

The Concept of Stability in Numerical Mathematics (Softcover Reprint of the Original 1st 2014)Paperback - Softcover Reprint of the Original 1st 2014, 23 August 2016

The Concept of Stability in Numerical Mathematics (Softcover Reprint of the Original 1st 2014)
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Part of Series
Springer Computational Mathematics
Part of Series
Springer Series in Computational Mathematics
Print Length
188 pages
Language
English
Publisher
Springer
Date Published
23 Aug 2016
ISBN-10
3662513714
ISBN-13
9783662513712

Description

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.

Product Details

Author:
Wolfgang Hackbusch
Book Edition:
Softcover Reprint of the Original 1st 2014
Book Format:
Paperback
Country of Origin:
NL
Date Published:
23 August 2016
Dimensions:
23.39 x 15.6 x 1.12 cm
ISBN-10:
3662513714
ISBN-13:
9783662513712
Language:
English
Location:
Berlin, Heidelberg
Pages:
188
Publisher:
Weight:
294.83 gm

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