Multi-Grid Methods and Applications
Published on 1. December 2010
Book
Paperback/Softback
XIV, 378 pages
978-3-642-05722-9 (ISBN)
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.
More details
Series
Edition
Softcover reprint of hardcover 1st ed. 1985
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
XIV, 378 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 22 mm
Weight
593 gr
ISBN-13
978-3-642-05722-9 (9783642057229)
DOI
10.1007/978-3-662-02427-0
Schweitzer Classification
Other editions
Additional editions
Wolfgang Hackbusch
Multi-Grid Methods and Applications
E-Book
03/2013
Springer
€171.19
Available for download
Wolfgang Hackbusch
Multi-Grid Methods and Applications
Book
10/1985
Springer
€181.89
Shipment within 10-15 days
Person
The author is a very well-known author of Springer, working in the field of numerical mathematics for partial differential equations and integral equations. He has published numerous books in the SSCM series, e.g., about the multi-grid method, about the numerical analysis of elliptic pdes, about iterative solution of large systems of equation, and a book in German about the technique of hierarchical matrices. Hackbusch is member of the editorial board of Springer' s book series "Advances in Numerical Mathematics", "The International Cryogenics Monograph Series" and has now joined as new member of the editorial board of "Springer Series of Computational Mathematics".
Content
1. Preliminaries.- 2. Introductory Model Problem.- 3. General Two-Grid Method.- 4. General Multi-Grid Iteration.- 5. Nested Iteration Technique.- 6. Convergence of the Two-Grid Iteration.- 7. Convergence of the Multi-Grid Iteration.- 8. Fourier Analysis.- 9. Nonlinear Multi-Grid Methods.- 10. Singular Perturbation Problems.- 11. Elliptic Systems.- 12. Eigenvalue Problems and Singular Equations.- 13. Continuation Techniques.- 14. Extrapolation and Defect Correction Techniques.- 15. Local Techniques.- 16. The Multi-Grid Method of the Second Kind.