Ebook: Matrix-Based Multigrid: Theory and Applications
Author: Yair Shapira (auth.)
- Tags: Computational Mathematics and Numerical Analysis, Numeric Computing, Mathematics of Computing, Applications of Mathematics
- Series: Numerical Methods and Algorithms 2
- Year: 2003
- Publisher: Springer US
- Language: English
- pdf
Content:
Front Matter....Pages i-xvi
The Multilevel-Multiscale Approach....Pages 1-20
Front Matter....Pages 21-23
Partial Differential Equations and their Discretization....Pages 25-42
Iterative Linear-System Solvers....Pages 43-59
Multigrid Algorithms....Pages 61-67
Front Matter....Pages 69-71
The Automug Method....Pages 73-78
Applications in Image Processing....Pages 79-90
The Black-Box Multigrid Method....Pages 91-97
Application to the Indefinite Helmholtz Equation....Pages 99-113
Matrix-Based Semicoarsening Method....Pages 115-128
Front Matter....Pages 129-132
Matrix-Based Multigrid for Locally Refined Meshes....Pages 133-166
Front Matter....Pages 167-169
A Domain Decomposition Approach....Pages 171-177
An Algebraic Multilevel Method with Applications....Pages 179-200
Conclusions....Pages 201-204
Back Matter....Pages 205-221
Content:
Front Matter....Pages i-xvi
The Multilevel-Multiscale Approach....Pages 1-20
Front Matter....Pages 21-23
Partial Differential Equations and their Discretization....Pages 25-42
Iterative Linear-System Solvers....Pages 43-59
Multigrid Algorithms....Pages 61-67
Front Matter....Pages 69-71
The Automug Method....Pages 73-78
Applications in Image Processing....Pages 79-90
The Black-Box Multigrid Method....Pages 91-97
Application to the Indefinite Helmholtz Equation....Pages 99-113
Matrix-Based Semicoarsening Method....Pages 115-128
Front Matter....Pages 129-132
Matrix-Based Multigrid for Locally Refined Meshes....Pages 133-166
Front Matter....Pages 167-169
A Domain Decomposition Approach....Pages 171-177
An Algebraic Multilevel Method with Applications....Pages 179-200
Conclusions....Pages 201-204
Back Matter....Pages 205-221
....
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