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The Concept of Stability in Numerical Mathematics (Hardcover, 2014 ed.) Loot Price: R2,282
Discovery Miles 22 820
The Concept of Stability in Numerical Mathematics (Hardcover, 2014 ed.): Wolfgang Hackbusch

The Concept of Stability in Numerical Mathematics (Hardcover, 2014 ed.)

Wolfgang Hackbusch

Series: Springer Series in Computational Mathematics, 45

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Loot Price R2,282 Discovery Miles 22 820 | Repayment Terms: R214 pm x 12*

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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.

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General

Imprint: Springer-Verlag
Country of origin: Germany
Series: Springer Series in Computational Mathematics, 45
Release date: February 2014
First published: 2014
Authors: Wolfgang Hackbusch
Dimensions: 235 x 155 x 16mm (L x W x T)
Format: Hardcover
Pages: 188
Edition: 2014 ed.
ISBN-13: 978-3-642-39385-3
Categories: Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis
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LSN: 3-642-39385-3
Barcode: 9783642393853

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