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268238324
Springer Computational Mathematics High Order Difference Methods for Time Dependent Pde, Book 38, (Paperback)
Item #:
268238324
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This book provides a unique overview of high order difference methods, bridging the gap between theory and practical applications.
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- 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.
| Book format | Paperback |
| Fiction/nonfiction | Non-Fiction |
| Genre | Textbooks |
| Publication date | November, 2010 |
| Pages | 334 |
| Subgenre | Number Systems |
| Series title | Springer Computational Mathematics |
| Number in series | 38 |
| Edition | 1 |
| Publisher | Springer |
| Original languages | English |
| Language | English |
| Edu focus | Mathematics |
| Is collectible | N |
| Recording time | 0 min |
| Retail packaging | Single Piece |
| Assembled product dimensions (l x w x h) | 6.14 x 0.73 x 9.21 in (15.6 x 1.9 x 23.4 cm) |
| Assembled product weight | 1.09 lb (490 grams) |
| Bisac subject heading | Mathematics |
Product Description
Springer Computational Mathematics High Order Difference Methods for Time Dependent Pde, Book 38, (Paperback)
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Features & Benefits
- Explores high order difference methods for time-dependent PDEs.
- Analyzes stability, accuracy, and effectiveness of these methods.
- Addresses the challenges of boundary condition constructions.
- Includes both theoretical insights and practical illustrations.
- Suitable for readers looking for a broad understanding without excessive detail.
- Perfect for both students and professionals in computational mathematics.
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