A Multigrid Tutorial
Author: William L. Briggs
Publisher: SIAM
Published: 2000-07-01
Total Pages: 318
ISBN-13: 9780898714623
DOWNLOAD EBOOKMathematics of Computing -- Numerical Analysis.
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Multi-Grid Methods and Applications
Author: Wolfgang Hackbusch
Publisher: Springer Science & Business Media
Published: 2013-03-09
Total Pages: 391
ISBN-13: 3662024276
DOWNLOAD EBOOKMulti-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.
Multigrid Methods II
Author: Wolfgang Hackbusch
Publisher:
Published: 2014-09-01
Total Pages: 344
ISBN-13: 9783662200858
DOWNLOAD EBOOKMultigrid Methods II
Author: Wolfgang Hackbusch
Publisher: Springer
Published: 2006-11-14
Total Pages: 342
ISBN-13: 3540473726
DOWNLOAD EBOOKmultigrid methods
Author: Stephen F. Mccormick
Publisher: CRC Press
Published: 2020-08-12
Total Pages: 668
ISBN-13: 1000147223
DOWNLOAD EBOOKThis book is a collection of research papers on a wide variety of multigrid topics, including applications, computation and theory. It represents proceedings of the Third Copper Mountain Conference on Multigrid Methods, which was held at Copper Mountain, Colorado.
Multigrid Methods
Author: Ulrich Trottenberg
Publisher: Academic Press
Published: 2001
Total Pages: 652
ISBN-13: 9780127010700
DOWNLOAD EBOOKMathematics of Computing -- Numerical Analysis.
Practical Fourier Analysis for Multigrid Methods
Author: Roman Wienands
Publisher: CRC Press
Published: 2004-10-28
Total Pages: 235
ISBN-13: 1420034995
DOWNLOAD EBOOKBefore 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
Multigrid Techniques
Author: Achi Brandt
Publisher: SIAM
Published: 2011-01-01
Total Pages: 239
ISBN-13: 9781611970753
DOWNLOAD EBOOKThis classic text presents the best practices of developing multigrid solvers for large-scale computational problems in science and engineering. By representing a problem at multiple scales and employing suitable interscale interactions, multigrid avoids slowdown due to stiffness and reduces the computational cost of classical algorithms by orders of magnitude. Starting from simple examples, this book guides the reader through practical stages for developing reliable multigrid solvers, methodically supported by accurate performance predictors. The revised edition presents discretization and fast solution of linear and nonlinear partial differential systems; treatment of boundary conditions, global constraints and singularities; grid adaptation, high-order approximations, and system design optimization; applications to fluid dynamics, from simple models to advanced systems; new quantitative performance predictors, a MATLAB sample code, and more. Readers will also gain access to the Multigrid Guide 2.0 Web site, where updates and new developments will be continually posted, including a chapter on Algebraic Multigrid.
Towards Robust Algebraic Multigrid Methods for Nonsymmetric Problems
Author: James Lottes
Publisher: Springer
Published: 2017-03-24
Total Pages: 138
ISBN-13: 3319563068
DOWNLOAD EBOOKThis thesis presents a rigorous, abstract analysis of multigrid methods for positive nonsymmetric problems, particularly suited to algebraic multigrid, with a completely new approach to nonsymmetry which is based on a new concept of absolute value for nonsymmetric operators. Multigrid, and in particular algebraic multigrid, has become an indispensable tool for the solution of discretizations of partial differential equations. While used in both the symmetric and nonsymmetric cases, the theory for the nonsymmetric case has lagged substantially behind that for the symmetric case. This thesis closes some of this gap, presenting a major and highly original contribution to an important problem of computational science. The new approach to nonsymmetry will be of interest to anyone working on the analysis of discretizations of nonsymmetric operators, even outside the context of multigrid. The presentation of the convergence theory may interest even those only concerned with the symmetric case, as it sheds some new light on and extends existing results.
Multigrid Methods
Author: James H Bramble
Publisher: Routledge
Published: 2019-01-22
Total Pages: 176
ISBN-13: 1351429868
DOWNLOAD EBOOKMultigrid 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.
