Towards Robust Algebraic Multigrid Methods for Nonsymmetric Problems (Springer Theses) - Tapa blanda

Lottes, James

 
9783319858814: Towards Robust Algebraic Multigrid Methods for Nonsymmetric Problems (Springer Theses)
Tapa blanda
ISBN 10: 3319858815 ISBN 13: 9783319858814
Editorial: Springer, 2018

Sinopsis

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

De la contraportada

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2018
Idioma
Inglés
ISBN 10 
3319858815
ISBN 13 
9783319858814
Encuadernación
Tapa blanda
Número de páginas
144
Contacto del fabricante
no disponible
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Hamburg
Alemania

Otras ediciones populares con el mismo título

9783319563053: Towards Robust Algebraic Multigrid Methods for Nonsymmetric Problems (Springer Theses)

Edición Destacada

ISBN 10:  331956305X ISBN 13:  9783319563053
Editorial: Springer, 2017
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