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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.
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.
| Erscheinungsjahr: | 2018 |
|---|---|
| Fachbereich: | Wahrscheinlichkeitstheorie |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: |
x
131 S. 6 s/w Illustr. 15 farbige Illustr. 131 p. 21 illus. 15 illus. in color. |
| ISBN-13: | 9783319858814 |
| ISBN-10: | 3319858815 |
| Sprache: | Englisch |
| Herstellernummer: | 978-3-319-85881-4 |
| Ausstattung / Beilage: | Previously published in hardcover |
| Autor: | Lottes, James |
| Auflage: | Softcover reprint of the original 1st ed. 2017 |
| Hersteller: |
Springer
Springer, Berlin Springer International Publishing |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Abbildungen: | X, 131 p. 21 illus., 15 illus. in color. |
| Maße: | 8 x 155 x 235 mm |
| Von/Mit: | James Lottes |
| Erscheinungsdatum: | 25.07.2018 |
| Gewicht: | 0,23 kg |
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