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Towards Robust Algebraic Multigrid Methods for Nonsymmetric Problems (Hardcover, 1st ed. 2017): James Lottes Towards Robust Algebraic Multigrid Methods for Nonsymmetric Problems (Hardcover, 1st ed. 2017)
James Lottes
R2,797 R1,762 Discovery Miles 17 620 Save R1,035 (37%) Ships in 12 - 17 working days

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.

Towards Robust Algebraic Multigrid Methods for Nonsymmetric Problems (Paperback, Softcover reprint of the original 1st ed.... Towards Robust Algebraic Multigrid Methods for Nonsymmetric Problems (Paperback, Softcover reprint of the original 1st ed. 2017)
James Lottes
R1,830 Discovery Miles 18 300 Ships in 10 - 15 working days

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.

The Really Short Story Project 54 Stories of Micro/Flash/Sudden Fiction - Volume 2 (Paperback): Charles Wong, James Lott The Really Short Story Project 54 Stories of Micro/Flash/Sudden Fiction - Volume 2 (Paperback)
Charles Wong, James Lott
R211 Discovery Miles 2 110 Ships in 10 - 15 working days
The Life Changing Chronicles (Paperback): Doug Hess, James Lott The Life Changing Chronicles (Paperback)
Doug Hess, James Lott
R148 Discovery Miles 1 480 Ships in 10 - 15 working days
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