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Englisch
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Beschreibung
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.
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.
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: | 1985 |
---|---|
Genre: | Informatik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Buch |
Reihe: | Springer Series in Computational Mathematics |
Inhalt: |
xiv
378 S. |
ISBN-13: | 9783540127611 |
ISBN-10: | 3540127615 |
Sprache: | Englisch |
Ausstattung / Beilage: | HC runder Rücken kaschiert |
Einband: | Gebunden |
Autor: | Hackbusch, Wolfgang |
Hersteller: |
Springer-Verlag GmbH
Springer Berlin Heidelberg Springer Series in Computational Mathematics |
Maße: | 241 x 160 x 26 mm |
Von/Mit: | Wolfgang Hackbusch |
Erscheinungsdatum: | 01.10.1985 |
Gewicht: | 0,758 kg |
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: | 1985 |
---|---|
Genre: | Informatik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Buch |
Reihe: | Springer Series in Computational Mathematics |
Inhalt: |
xiv
378 S. |
ISBN-13: | 9783540127611 |
ISBN-10: | 3540127615 |
Sprache: | Englisch |
Ausstattung / Beilage: | HC runder Rücken kaschiert |
Einband: | Gebunden |
Autor: | Hackbusch, Wolfgang |
Hersteller: |
Springer-Verlag GmbH
Springer Berlin Heidelberg Springer Series in Computational Mathematics |
Maße: | 241 x 160 x 26 mm |
Von/Mit: | Wolfgang Hackbusch |
Erscheinungsdatum: | 01.10.1985 |
Gewicht: | 0,758 kg |
Warnhinweis