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Multi-Grid Methods and Applications
Buch von Wolfgang Hackbusch
Sprache: 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
Artikel-ID: 106099566
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
Artikel-ID: 106099566
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