Matrix-Based Multigrid: Theory and Applications

Author:   Yair Shapira
Publisher:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of hardcover 2nd ed. 2008
Volume:   2
ISBN:  

9781441943217


Pages:   318
Publication Date:   29 November 2010
Format:   Paperback
Availability:   Out of print, replaced by POD   Availability explained
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Matrix-Based Multigrid: Theory and Applications


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Author:   Yair Shapira
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of hardcover 2nd ed. 2008
Volume:   2
Dimensions:   Width: 15.50cm , Height: 1.80cm , Length: 23.50cm
Weight:   0.528kg
ISBN:  

9781441943217


ISBN 10:   1441943218
Pages:   318
Publication Date:   29 November 2010
Audience:   Professional and scholarly ,  Professional and scholarly ,  Professional & Vocational ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of print, replaced by POD   Availability explained
We will order this item for you from a manufatured on demand supplier.

Table of Contents

Concepts and Preliminaries.- The Multilevel-Multiscale Approach.- Preliminaries.- Partial Differential Equations and Their Discretization.- Finite Differences and Volumes.- Finite Elements.- The Numerical Solution of Large Sparse Linear Systems of Algebraic Equations.- Iterative Linear System Solvers.- The Multigrid Iteration.- Matrix-Based Multigrid for Structured Grids.- The Automatic Multigrid Method.- Applications in Image Processing.- The Black-Box Multigrid Method.- The Indefinite Helmholtz Equation.- Matrix-Based Semicoarsening Method.- Matrix-Based Multigrid for Semistructured Grids.- Matrix-Based Multigrid for Locally Refined Meshes.- Application to Semistructured Grids.- Matrix-Based Multigrid for Unstructured Grids.- The Domain-Decomposition Multigrid Method.- The Algebraic Multilevel Method.- Applications.- Semialgebraic Multilevel Method for Systems of Partial Differential Equations.- Appendices.- Time-Dependent Parabolic PDEs.- Nonlinear Equations.

Reviews

From the reviews of the second edition: Shapira delivers a systematic and unified presentation of the multigrid method that is used for the efficient solution of partial differential equations. ! The notations are consistent and the presentation is self-contained. The book is recommended to readers involved in the field of computational science and engineering, from the postgraduate to the expert level. Additionally, the book is suitable for courses in numerical analysis, numerical linear algebra, scientific computing, and numerical solution of partial differential equations. (George A. Gravvanis, ACM Computing Reviews, May, 2009)


From the reviews of the second edition: Shapira delivers a systematic and unified presentation of the multigrid method that is used for the efficient solution of partial differential equations. ... The notations are consistent and the presentation is self-contained. The book is recommended to readers involved in the field of computational science and engineering, from the postgraduate to the expert level. Additionally, the book is suitable for courses in numerical analysis, numerical linear algebra, scientific computing, and numerical solution of partial differential equations. (George A. Gravvanis, ACM Computing Reviews, May, 2009) This book provides an introduction into this area. Basically, it presupposes only a sound knowledge of analysis and linear algebra and introduces all other necessary concepts on its own. ... Many exercises are included. The presentation is well suited for seminars in this area. (H. Muthsam, Monatshefte fur Mathematik, Vol. 156 (3), March, 2009)


"From the reviews of the second edition: ""Shapira delivers a systematic and unified presentation of the multigrid method that is used for the efficient solution of partial differential equations. … The notations are consistent and the presentation is self-contained. The book is recommended to readers involved in the field of computational science and engineering, from the postgraduate to the expert level. Additionally, the book is suitable for courses in numerical analysis, numerical linear algebra, scientific computing, and numerical solution of partial differential equations."" (George A. Gravvanis, ACM Computing Reviews, May, 2009) “This book provides an introduction into this area. Basically, it presupposes only a sound knowledge of analysis and linear algebra and introduces all other necessary concepts on its own. … Many exercises are included. The presentation is well suited for seminars in this area.” (H. Muthsam, Monatshefte für Mathematik, Vol. 156 (3), March, 2009)"


From the reviews of the second edition: Shapira delivers a systematic and unified presentation of the multigrid method that is used for the efficient solution of partial differential equations. ... The notations are consistent and the presentation is self-contained. The book is recommended to readers involved in the field of computational science and engineering, from the postgraduate to the expert level. Additionally, the book is suitable for courses in numerical analysis, numerical linear algebra, scientific computing, and numerical solution of partial differential equations. (George A. Gravvanis, ACM Computing Reviews, May, 2009) This book provides an introduction into this area. Basically, it presupposes only a sound knowledge of analysis and linear algebra and introduces all other necessary concepts on its own. ... Many exercises are included. The presentation is well suited for seminars in this area. (H. Muthsam, Monatshefte fur Mathematik, Vol. 156 (3), March, 2009)


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