Numerical solutions of partial differential equations / Silvia Bertoluzza [and others].
"This volume offers researchers the opportunity to catch up with important developments in the field of numerical analysis and scientific computing and to get in touch with state-of-the-art numerical techniques.The book has three parts. The first one is devoted to the use of wavelets to derive...
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| Format: | Ebook |
| Language: | English |
| Published: |
Basel, Switzerland ; Boston [Mass.] :
Birkhäuser,
[2009]
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| Series: | Advanced courses in mathematics, CRM Barcelona.
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| Subjects: | |
| Online Access: | Springer eBooks |
Table of Contents:
- Wavelets and Partial Differential Equations:
- Introduction
- What is a Wavelet?
- The Fundamental Property of Wavelets
- Wavelets for Partial Differential Equations
- High-Order Shock-Capturing Schemes for Balance Laws:
- Introduction
- Upwind Scheme for Systems
- The Numerical Flux Function
- Nonlinear Reconstruction and High-Order Schemes
- Central Schemes
- Systems with Stiff Source
- Discontinuous Galerkin Methods: General Approach and Stability:
- Introduction
- Time Discretization
- Discontinuous Galerkin Method for Conservation Laws
- Discontinuous Galerkin Method for Convection-Diffusion Equations
- Discontinuous Galerkin Method for PDEs Containing Higher-Order Spatial Derivatives.