High Order Difference Methods for Time Dependent PDE
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...
محفوظ في:
| المؤلف الرئيسي: | |
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| مؤلف مشترك: | |
| التنسيق: | الكتروني كتاب الكتروني |
| اللغة: | English |
| منشور في: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2008.
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| الطبعة: | 1st ed. 2008. |
| سلاسل: | Springer Series in Computational Mathematics,
38 |
| الموضوعات: | |
| الوصول للمادة أونلاين: | https://doi.org/10.1007/978-3-540-74993-6 |
| الوسوم: |
إضافة وسم
لا توجد وسوم, كن أول من يضع وسما على هذه التسجيلة!
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جدول المحتويات:
- 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.