Yair Shapira
Springer US
2e druk, 2010
9781441943217
Matrix-Based Multigrid
Theory and Applications
Specificaties
Paperback, 318 blz.
|
Engels
Springer US |
2e druk, 2010
ISBN13: 9781441943217
Rubricering
Onderdeel van serie
Numerical Methods and Algorithms
Verwachte levertijd ongeveer 9 werkdagen
Samenvatting
Matrix-Based Multigrid introduces and analyzes the multigrid approach for the numerical solution of large sparse linear systems arising from the discretization of elliptic partial differential equations. Special attention is given to the powerful matrix-based-multigrid approach, which is particularly useful for problems with variable coefficients and nonsymmetric and indefinite problems.
This book can be used as a textbook in courses in numerical analysis, numerical linear algebra, and numerical PDEs at the advanced undergraduate and graduate levels in computer science, math, and applied math departments. The theory is written in simple algebraic terms and therefore requires preliminary knowledge only in basic linear algebra and calculus.
Specificaties
ISBN13:9781441943217
Taal:Engels
Bindwijze:paperback
Aantal pagina's:318
Uitgever:Springer US
Druk:2
Inhoudsopgave
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.