High Order Difference Methods for Time Dependent PDE

Language: English

Published by Springer, Springer Vieweg Dez 2007, 2007

3540749926 / 9783540749929

Series: Book 13 of 33 - Springer Computational Mathematics

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This item is printed on demand - Print on Demand Titel. Neuware -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. For example, the de nition of the formal high order accuracy is based on the assumption that the true solution is smooth, or expressed differently, that the grid is ne enough such that all variations in the solution are well resolved. In many applications, this assumption is not ful lled, and then it is interesting to know if a high order method is still effective. Another problem that needs thorough analysis is the construction of boundary conditions such that both accuracy and stability is upheld. And nally, there has been quite a strongdevelopmentduringthe last years, inparticularwhenit comesto verygeneral and stable difference operators for application on initial¿boundary value problems. The content of the book is not purely theoretical, neither is it a set of recipes for varioustypesof applications. The idea is to give an overviewof the basic theoryand constructionprinciplesfor differencemethodswithoutgoing into all details. For - ample, certain theorems are presented, but the proofs are in most cases left out. The explanation and application of the theory is illustrated by using simple model - amples.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 352 pp. Englisch.

Seller Inventory # 9783540749929

Title
High Order Difference Methods for Time Dependent PDE
Author
Bertil Gustafsson
Publisher
Springer, Springer Vieweg Dez 2007
Publication year
2007
Condition
Neu
Binding
Buch
Language
English
ISBN 10
3540749926
ISBN 13
9783540749929
Item weight
694 grams
Dimensions
241x160x24 mm
Series
Book 13 of 33: Springer Computational Mathematics

buchversandmimpf2000

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