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High Order Difference Methods for Time Dependent PDE
Bertil Gustafsson
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Description for High Order Difference Methods for Time Dependent PDE
Paperback. Series: Springer Series in Computational Mathematics. Num Pages: 350 pages, biography. BIC Classification: PBKJ. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 18. Weight in Grams: 539.
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 ... Read more
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 ... Read more
Product Details
Format
Paperback
Publication date
2010
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Germany
Number of pages
350
Condition
New
Series
Springer Series in Computational Mathematics
Number of Pages
334
Place of Publication
Berlin, Germany
ISBN
9783642094392
SKU
V9783642094392
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for High Order Difference Methods for Time Dependent PDE
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. ... Read more