The Fourier Analysis of Multigrid-type Iterative Methods
Author | : Naomi H. Decker |
Publisher | : |
Total Pages | : 264 |
Release | : 1987 |
Genre | : |
ISBN | : |
Download The Fourier Analysis of Multigrid-type Iterative Methods Book in PDF, Epub and Kindle
Download The Fourier Analysis Of Multigrid Type Iterative Methods full books in PDF, epub, and Kindle. Read online free The Fourier Analysis Of Multigrid Type Iterative Methods ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Author | : Naomi H. Decker |
Publisher | : |
Total Pages | : 264 |
Release | : 1987 |
Genre | : |
ISBN | : |
Author | : University of Wisconsin--Madison. Computer Sciences Dept |
Publisher | : |
Total Pages | : 59 |
Release | : 1987 |
Genre | : Computer science |
ISBN | : |
Experiments indicate that a multigrid-type cycle can be used as an efficient preconditioner in the iterative solution of the discrete problem corresponding to a singularly perturbed elliptic boundary value problem. Motivated by a report of Goldstein, we explore the theoretical basis for the efficiency of such a preconditioner when applied to a model problem. The techniques developed are also used to analyze a multigrid V-cycle when used alone as a fast iterative solver. (Author).
Author | : Roman Wienands |
Publisher | : CRC Press |
Total Pages | : 235 |
Release | : 2004-10-28 |
Genre | : Mathematics |
ISBN | : 1420034995 |
Before applying multigrid methods to a project, mathematicians, scientists, and engineers need to answer questions related to the quality of convergence, whether a development will pay out, whether multigrid will work for a particular application, and what the numerical properties are. Practical Fourier Analysis for Multigrid Methods uses a detaile
Author | : Pieter Wesseling |
Publisher | : R.T. Edwards, Inc. |
Total Pages | : 300 |
Release | : 2004 |
Genre | : Mathematics |
ISBN | : |
Introduces the principles, techniques, applications and literature of multigrid methods. Aimed at an audience with non-mathematical but computing-intensive disciplines and basic knowledge of analysis, partial differential equations and numerical mathematics, it is packed with helpful exercises, examples and illustrations.
Author | : Wolfgang Hackbusch |
Publisher | : Springer Science & Business Media |
Total Pages | : 391 |
Release | : 2013-03-09 |
Genre | : Mathematics |
ISBN | : 3662024276 |
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.
Author | : William L. Briggs |
Publisher | : SIAM |
Total Pages | : 318 |
Release | : 2000-07-01 |
Genre | : Mathematics |
ISBN | : 9780898714623 |
Mathematics of Computing -- Numerical Analysis.
Author | : James H Bramble |
Publisher | : Routledge |
Total Pages | : 114 |
Release | : 2019-01-22 |
Genre | : Mathematics |
ISBN | : 135142985X |
Multigrid methods are among the most efficient iterative methods for the solution of linear systems which arise in many large scale scientific calculations. Every researcher working with the numerical solution of partial differential equations should at least be familiar with this powerful technique. This invaluable book presents results concerning the rates of convergence of multigrid iterations.
Author | : Yousef Saad |
Publisher | : SIAM |
Total Pages | : 537 |
Release | : 2003-04-01 |
Genre | : Mathematics |
ISBN | : 0898715342 |
Mathematics of Computing -- General.
Author | : Jan Mandel |
Publisher | : SIAM |
Total Pages | : 462 |
Release | : 1989-01-01 |
Genre | : Mathematics |
ISBN | : 9780898712483 |
Author | : Maxim A. Olshanskii |
Publisher | : SIAM |
Total Pages | : 257 |
Release | : 2014-07-21 |
Genre | : Mathematics |
ISBN | : 1611973465 |
Iterative Methods for Linear Systems?offers a mathematically rigorous introduction to fundamental iterative methods for systems of linear algebraic equations. The book distinguishes itself from other texts on the topic by providing a straightforward yet comprehensive analysis of the Krylov subspace methods, approaching the development and analysis of algorithms from various algorithmic and mathematical perspectives, and going beyond the standard description of iterative methods by connecting them in a natural way to the idea of preconditioning.??