The Concept of Stability in Numerical Mathematics PDF ePub eBook

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The Concept of Stability in Numerical Mathematics free pdf 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 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 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".

Details Book

Author : Wolfgang Hackbusch
Publisher : Springer-Verlag Berlin and Heidelberg GmbH
Data Published : 07 February 2014
ISBN : 3642393853
EAN : 9783642393853
Format Book : PDF, Epub, DOCx, TXT
Number of Pages : 188 pages
Age + : 15 years
Language : English
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