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Multigrid Methods


Multigrid Methods
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Multigrid Methods


Multigrid Methods
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Author : Stephen F. Mccormick
language : en
Publisher: CRC Press
Release Date : 2020-08-12

Multigrid Methods written by Stephen F. Mccormick and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-12 with Mathematics categories.


This 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.



Multi Grid Methods And Applications


Multi Grid Methods And Applications
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Author : Wolfgang Hackbusch
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Multi Grid Methods And Applications written by Wolfgang Hackbusch and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.


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.



Multigrid Methods


Multigrid Methods
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Author : W. Hackbusch
language : en
Publisher: Springer
Release Date : 2006-11-15

Multigrid Methods written by W. Hackbusch and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.




An Introduction To Multigrid Methods


An Introduction To Multigrid Methods
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Author : Pieter Wesseling (Dr. Ir)
language : en
Publisher: John Wiley & Sons
Release Date : 1992

An Introduction To Multigrid Methods written by Pieter Wesseling (Dr. Ir) and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.


Multigrid methods have developed rapidly and are used as a powerful tool for the efficient solution of elliptic and hyperbolic equations. This text provides an introduction to multigrid methods for partial differential equations, with applications to practical flow problems.



Multigrid Methods


Multigrid Methods
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Author : Ulrich Trottenberg
language : en
Publisher: Academic Press
Release Date : 2001

Multigrid Methods written by Ulrich Trottenberg and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.


Mathematics of Computing -- Numerical Analysis.



Towards Robust Algebraic Multigrid Methods For Nonsymmetric Problems


Towards Robust Algebraic Multigrid Methods For Nonsymmetric Problems
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Author : James Lottes
language : en
Publisher: Springer
Release Date : 2017-03-24

Towards Robust Algebraic Multigrid Methods For Nonsymmetric Problems written by James Lottes and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-24 with Mathematics categories.


This 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.



A Multigrid Tutorial


A Multigrid Tutorial
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Author : William L. Briggs
language : en
Publisher: SIAM
Release Date : 2000-07-01

A Multigrid Tutorial written by William L. Briggs and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-07-01 with Mathematics categories.


Mathematics of Computing -- Numerical Analysis.



Practical Fourier Analysis For Multigrid Methods


Practical Fourier Analysis For Multigrid Methods
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Author : Roman Wienands
language : en
Publisher: CRC Press
Release Date : 2004-10-28

Practical Fourier Analysis For Multigrid Methods written by Roman Wienands and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-28 with Mathematics categories.


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



Multigrid Techniques


Multigrid Techniques
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Author : Achi Brandt
language : en
Publisher: SIAM
Release Date : 2011-01-01

Multigrid Techniques written by Achi Brandt and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-01 with Mathematics categories.


This 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.