Wolfgang Hackbusch

Multi-Grid Methods and Applications (eBook, PDF)

• Format: PDF

Produktbeschreibung

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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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 378
• Erscheinungstermin: 9. März 2013
• Englisch
• ISBN-13: 9783662024270
• Artikelnr.: 53394930

Inhaltsangabe

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.