Towards Robust Algebraic Multigrid Methods for Nonsymmetric Problems is popular PDF and ePub book, written by James Lottes in 2017-03-24, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Towards Robust Algebraic Multigrid Methods for Nonsymmetric Problems can be Read Online from any device for your convenience.
Towards Robust Algebraic Multigrid Methods for Nonsymmetric Problems Book PDF Summary
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.
Detail Book of Towards Robust Algebraic Multigrid Methods for Nonsymmetric Problems PDF
- Author : James Lottes
- Release : 24 March 2017
- Publisher : Springer
- ISBN : 9783319563060
- Genre : Mathematics
- Total Page : 138 pages
- Language : English
- PDF File Size : 12,7 Mb
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