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 onestep 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 wellknown 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 multigrid 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  :  SpringerVerlag 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 
Rating  : 
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