Multi-Grid Methods and Applications
- ISBN-10
- 3662024276
- ISBN-13
- 9783662024270
- Category
- Mathematics
- Pages
- 378
- Language
- English
- Published
- 2013-03-09
- Publisher
- Springer Science & Business Media
- Author
- Wolfgang Hackbusch
Description
Multi-grid methods are the most efficient tools for solving elliptic boundary value problems. The reader finds here an elementary introduction to multi-grid algorithms as well as a comprehensive convergence analysis. One section describes special applications (convection-diffusion equations, singular perturbation problems, eigenvalue problems, etc.). The book also contains a complete presentation of the multi-grid method of the second kind, which has important applications to integral equations (e.g. the "panel method") and to numerous other problems. Readers with a practical interest in multi-grid methods will benefit from this book as well as readers with a more theoretical interest.
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