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The Concept of Stability in Numerical Mathematics
Wolfgang Hackbusch
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Description for The Concept of Stability in Numerical Mathematics
Paperback. This book offers a self-contained presentation of aspects of stability in numerical mathematics. It compares and characterizes stability in different subfields of numerical mathematics. Series: Springer Series in Computational Mathematics. Num Pages: 203 pages, biography. BIC Classification: PBKJ; PBKL; PBKS. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 11. Weight in Grams: 320.
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 ... Read more
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Product Details
Format
Paperback
Publication date
2016
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Germany
Number of pages
203
Condition
New
Series
Springer Series in Computational Mathematics
Number of Pages
188
Place of Publication
Berlin, Germany
ISBN
9783662513712
SKU
V9783662513712
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Wolfgang Hackbusch
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 ... Read more
Reviews for The Concept of Stability in Numerical Mathematics
“The contents are presented in a way that is accessible to graduate students who may use the book for self-study of the topic, and it can easily be used as a textbook for a corresponding lecture series. Moreover, advanced researchers in numerical mathematics are likely to benefit from reading it, in particular because the book provides interesting insight into how ... Read more