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High Order Difference Methods for Time Dependent PDE

BuchKartoniert, Paperback
334 Seiten
Englisch
Springererschienen am25.11.2010
Many books have been written on ?nite difference methods (FDM), but there are good reasons to write still another one. The main reason is that even if higher order methods have been known for a long time, the analysis of stability, accuracy and effectiveness is missing to a large extent.mehr
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EUR139,09
BuchKartoniert, Paperback
EUR139,09
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Produkt

KlappentextMany books have been written on ?nite difference methods (FDM), but there are good reasons to write still another one. The main reason is that even if higher order methods have been known for a long time, the analysis of stability, accuracy and effectiveness is missing to a large extent.
Details
ISBN/GTIN978-3-642-09439-2
ProduktartBuch
EinbandartKartoniert, Paperback
Verlag
Erscheinungsjahr2010
Erscheinungsdatum25.11.2010
ReiheSpringer Series in Computational Mathematics
Seiten334 Seiten
SpracheEnglisch
Gewicht534 g
IllustrationenXVI, 334 p.
Artikel-Nr.10262626

Inhalt/Kritik

Inhaltsverzeichnis
When are High Order Methods Effective?.- Well-posedness and Stability.- Order of Accuracy and the Convergence Rate.- Approximation in Space.- Approximation in Time.- Coupled Space-Time Approximations.- Boundary Treatment.- The Box Scheme.- Wave Propagation.- A Problem in Fluid Dynamics.- Nonlinear Problems with Shocks.- to Other Numerical Methods.mehr
Kritik
From the reviews:



"This book presents the theory and construction principles of high order finite difference methods (FDM) for numerical solving of time dependent partial differential equations. ... Many types of finite difference schemes are completely studied and numerical experiments and graphs are presented. ... The book is written in a clear and comprehensive manner. It is recommended to researchers, PD students and readers interested in effective methods for numerical solving of partial differential equations." (Snezhana Gocheva-Ilieva, Zentralblatt MATH, Vol. 1146, 2008)mehr