Fast multipole methods for the Helmholtz equation in three dimensions:
Saved in:
| Format: | Electronic eBook |
|---|---|
| Language: | English |
| Published: |
Amsterdam
Elsevier
2004
|
| Series: | Elsevier series in electromagnetism
|
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | This volume in the Elsevier Series in Electromagnetism presents a detailed, in-depth and self-contained treatment of the Fast Multipole Method and its applications to the solution of the Helmholtz equation in three dimensions. The Fast Multipole Method was pioneered by Rokhlin and Greengard in 1987 and has enjoyed a dramatic development and recognition during the past two decades. This method has been described as one of the best 10 algorithms of the 20th century. Thus, it is becoming increasingly important to give a detailed exposition of the Fast Multipole Method that will be accessible to a broad audience of researchers. This is exactly what the authors of this book have accomplished. For this reason, it will be a valuable reference for a broad audience of engineers, physicists and applied mathematicians. The Only book that provides comprehensive coverage of this topic in one location. Presents a review of the basic theory of expansions of the Helmholtz equation solutions Comprehensive description of both mathematical and practical aspects of the fast multipole method and it's applications to issues described by the Helmholtz equation Introduction; elementary factored solutions; structure of FMM algorithms; new results on recurrence relations; translation coefficients; transforms of the Helmhlotz equation; properties and representations of translation operators; applications of multipole methods Includes bibliographical references (p. 509-513) and index |
| Physical Description: | 1 Online-Ressource (1 online resource (xxix, 520 p.)) |
| ISBN: | 9780080443713 0080443710 |
Staff View
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| 500 | |a This volume in the Elsevier Series in Electromagnetism presents a detailed, in-depth and self-contained treatment of the Fast Multipole Method and its applications to the solution of the Helmholtz equation in three dimensions. The Fast Multipole Method was pioneered by Rokhlin and Greengard in 1987 and has enjoyed a dramatic development and recognition during the past two decades. This method has been described as one of the best 10 algorithms of the 20th century. Thus, it is becoming increasingly important to give a detailed exposition of the Fast Multipole Method that will be accessible to a broad audience of researchers. This is exactly what the authors of this book have accomplished. For this reason, it will be a valuable reference for a broad audience of engineers, physicists and applied mathematicians. The Only book that provides comprehensive coverage of this topic in one location. Presents a review of the basic theory of expansions of the Helmholtz equation solutions Comprehensive description of both mathematical and practical aspects of the fast multipole method and it's applications to issues described by the Helmholtz equation | ||
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| id | DE-604.BV039830903 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T00:12:19Z |
| institution | BVB |
| isbn | 9780080443713 0080443710 |
| language | English |
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| publishDate | 2004 |
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| spelling | Fast multipole methods for the Helmholtz equation in three dimensions Nail A. Gumerov, Ramani Duraiswami Amsterdam Elsevier 2004 1 Online-Ressource (1 online resource (xxix, 520 p.)) txt rdacontent c rdamedia cr rdacarrier Elsevier series in electromagnetism This volume in the Elsevier Series in Electromagnetism presents a detailed, in-depth and self-contained treatment of the Fast Multipole Method and its applications to the solution of the Helmholtz equation in three dimensions. The Fast Multipole Method was pioneered by Rokhlin and Greengard in 1987 and has enjoyed a dramatic development and recognition during the past two decades. This method has been described as one of the best 10 algorithms of the 20th century. Thus, it is becoming increasingly important to give a detailed exposition of the Fast Multipole Method that will be accessible to a broad audience of researchers. This is exactly what the authors of this book have accomplished. For this reason, it will be a valuable reference for a broad audience of engineers, physicists and applied mathematicians. The Only book that provides comprehensive coverage of this topic in one location. Presents a review of the basic theory of expansions of the Helmholtz equation solutions Comprehensive description of both mathematical and practical aspects of the fast multipole method and it's applications to issues described by the Helmholtz equation Introduction; elementary factored solutions; structure of FMM algorithms; new results on recurrence relations; translation coefficients; transforms of the Helmhlotz equation; properties and representations of translation operators; applications of multipole methods Includes bibliographical references (p. 509-513) and index Helmholtz equation Helmholtz-Schwingungsgleichung (DE-588)4159528-2 gnd rswk-swf Multipolentwicklung (DE-588)4170738-2 gnd rswk-swf Helmholtz-Schwingungsgleichung (DE-588)4159528-2 s Multipolentwicklung (DE-588)4170738-2 s 1\p DE-604 Gumerov, Nail A. Sonstige oth Duraiswami, Ramani Sonstige oth http://www.sciencedirect.com/science/book/9780080443713 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Fast multipole methods for the Helmholtz equation in three dimensions Helmholtz equation Helmholtz-Schwingungsgleichung (DE-588)4159528-2 gnd Multipolentwicklung (DE-588)4170738-2 gnd |
| subject_GND | (DE-588)4159528-2 (DE-588)4170738-2 |
| title | Fast multipole methods for the Helmholtz equation in three dimensions |
| title_auth | Fast multipole methods for the Helmholtz equation in three dimensions |
| title_exact_search | Fast multipole methods for the Helmholtz equation in three dimensions |
| title_full | Fast multipole methods for the Helmholtz equation in three dimensions Nail A. Gumerov, Ramani Duraiswami |
| title_fullStr | Fast multipole methods for the Helmholtz equation in three dimensions Nail A. Gumerov, Ramani Duraiswami |
| title_full_unstemmed | Fast multipole methods for the Helmholtz equation in three dimensions Nail A. Gumerov, Ramani Duraiswami |
| title_short | Fast multipole methods for the Helmholtz equation in three dimensions |
| title_sort | fast multipole methods for the helmholtz equation in three dimensions |
| topic | Helmholtz equation Helmholtz-Schwingungsgleichung (DE-588)4159528-2 gnd Multipolentwicklung (DE-588)4170738-2 gnd |
| topic_facet | Helmholtz equation Helmholtz-Schwingungsgleichung Multipolentwicklung |
| url | http://www.sciencedirect.com/science/book/9780080443713 |
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