Description: Towards Robust Algebraic Multigrid Methods for Nonsymmetric Problems by James Lottes 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. FORMAT Paperback LANGUAGE English CONDITION Brand New Back Cover 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. Table of Contents Introduction.- Theoretical Foundations.- Form Absolute Value.- Convergence Theory.- Application to a New AMG Method.- Conclusions. Feature Nominated as an outstanding Ph.D. thesis by the University of Oxford, UK Provides a concise and self-contained introduction to multigrid for a simple model problem Presents a new absolute value concept that naturally extends the energy norm to the nonsymmetric case Presents a novel general convergence theory for two-level methods, the first to treat interpolation and restriction independently, by making use of the new absolute value Details ISBN3319858815 Author James Lottes Series Springer Theses ISBN-10 3319858815 ISBN-13 9783319858814 Format Paperback DEWEY 515.353 Pages 131 Publisher Springer International Publishing AG Year 2018 Publication Date 2018-07-25 Imprint Springer International Publishing AG Place of Publication Cham Country of Publication Switzerland Language English UK Release Date 2018-07-25 Illustrations 15 Illustrations, color; 6 Illustrations, black and white; X, 131 p. 21 illus., 15 illus. in color. Edition Description Softcover reprint of the original 1st ed. 2017 Alternative 9783319563053 Audience Professional & Vocational We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:131032733;
Price: 118.26 AUD
Location: Melbourne
End Time: 2025-01-06T18:42:01.000Z
Shipping Cost: 31.43 AUD
Product Images
Item Specifics
Restocking fee: No
Return shipping will be paid by: Buyer
Returns Accepted: Returns Accepted
Item must be returned within: 30 Days
ISBN-13: 9783319858814
Book Title: Towards Robust Algebraic Multigrid Methods for Nonsymmetric Probl
Number of Pages: 131 Pages
Publication Name: Towards Robust Algebraic Multigrid Methods for Nonsymmetric Problems
Language: English
Publisher: Springer International Publishing Ag
Item Height: 235 mm
Subject: Mathematics
Publication Year: 2018
Type: Textbook
Item Weight: 2292 g
Author: James Lottes
Item Width: 155 mm
Format: Paperback
