Multi-grid methods and applications
Author(s)
Bibliographic Information
Multi-grid methods and applications
（Springer series in computational mathematics, 4）
Springer-Verlag, c1985
- : us
- : gw
Available at / 46 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
: gwHAC||6||185068757
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Institute for Space–Earth Environmental Research, Nagoya University宇宙地球研1
413.63||H||||太陽図書室41123646
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Hokkaido University, Faculty and Graduate School of Engineering図書
: GermanyDC19:510/H1153521136925
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Note
Bibliography: p. [354]-373
Includes index
Description and Table of Contents
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.
Table of Contents
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.
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