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The robust multigrid technique : for black-box software /
This book presents a detailed description of a robust pseudomultigrid algorithm for solving (initial- )boundary value problems on structured grids in a black-box manner. To overcome the problem of robustness, the presented Robust Multigrid Technique (RMT) is based on the application of the essential...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin ; Boston :
De Gruyter,
[2017]
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Martynenko, Sergey I., |e author. | |
| 245 | 1 | 4 | |a The robust multigrid technique : |b for black-box software / |c Sergey I. Martynenko. |
| 264 | 1 | |a Berlin ; |a Boston : |b De Gruyter, |c [2017] | |
| 264 | 4 | |c ©2017 | |
| 300 | |a 1 online resource (xiii, 198 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
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| 505 | 0 | 0 | |t Frontmatter -- |t Preface -- |t Acknowledgments -- |t Contents -- |t Notation -- |t 1. Introduction to multigrid -- |t 2. Robust multigrid technique -- |t 3. Parallel multigrid methods -- |t 4. Applications of multigrid methods in computational fluid dynamics -- |t Bibliography -- |t Index. |
| 520 | |a This book presents a detailed description of a robust pseudomultigrid algorithm for solving (initial- )boundary value problems on structured grids in a black-box manner. To overcome the problem of robustness, the presented Robust Multigrid Technique (RMT) is based on the application of the essential multigrid principle in a single grid algorithm. It results in an extremely simple, very robust and highly parallel solver with close-to-optimal algorithmic complexity and the least number of problem-dependent components. Topics covered include an introduction to the mathematical principles of multigrid methods, a detailed description of RMT, results of convergence analysis and complexity, possible expansion on unstructured grids, numerical experiments and a brief description of multigrid software, parallel RMT and estimations of speed-up and efficiency of the parallel multigrid algorithms, and finally applications of RMT for the numerical solution of the incompressible Navier Stokes equations. Potential readers are graduate students and researchers working in applied and numerical mathematics as well as multigrid practitioners and software programmers. ContentsIntroduction to multigridRobust multigrid techniqueParallel multigrid methodsApplications of multigrid methods in computational fluid dynamics. | ||
| 546 | |a In English. | ||
| 588 | 0 | |a Online resource; title from PDF title page (publisher's Web site, viewed 26. Sep 2017). | |
| 504 | |a Includes bibliographical references and index. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Numerical analysis. | |
| 650 | 0 | |a Boundary value problems. | |
| 650 | 0 | |a Uncertainty |x Mathematical models. | |
| 650 | 6 | |a Analyse numérique. | |
| 650 | 6 | |a Problèmes aux limites. | |
| 650 | 7 | |a MATHEMATICS |x Numerical Analysis. |2 bisacsh | |
| 650 | 7 | |a Boundary value problems |2 fast | |
| 650 | 7 | |a Numerical analysis |2 fast | |
| 650 | 7 | |a Uncertainty |x Mathematical models |2 fast | |
| 758 | |i has work: |a The robust multigrid technique (Text) |1 https://id.oclc.org/worldcat/entity/E39PCFFVfF3pvDQpFrGthb3DC3 |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
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