The Concept of Stability in Numerical Mathematics

Name: The Concept of Stability in Numerical Mathematics
Brand: Springer
SKU: 9783642393853
Price: 3672.0 INR
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by Wolfgang Hackbusch

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ISBN13: 9783642393853
Binding: Hardcover
Subject: N/A
Publisher: Springer
Publisher Imprint: Springer
Publication Date: February 20, 2014
Pages: 188
Original Price: EUR 49.99
Language: English
Edition: 2014
Item Weight: 468 grams
BISAC Subject(s): Number Systems, Mathematical Analysis, and Differential Equations / General

About The Book

From the Back Cover

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.

About The Author

The author is a very well-known author of Springer, working in the field of numerical mathematics for partial differential equations and integral equations. He has published numerous books in the SSCM series, e.g., about the multi-grid method, about the numerical analysis of elliptic pdes, about iterative solution of large systems of equation, and a book in German about the technique of hierarchical matrices. Hackbusch is also in the editorial board of Springer's book series "Advances in Numerical Mathematics" and "The International Cryogenics Monograph Series".

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