| Description |
1 online resource (xxix, 520 pages) : illustrations (some color) |
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text txt rdacontent |
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computer c rdamedia |
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online resource cr rdacarrier |
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text file |
| Series |
Elsevier series in electromagnetism |
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Elsevier series in electromagnetism.
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| Summary |
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. |
| Contents |
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. |
| Bibliography |
Includes bibliographical references (pages 509-513) and index. |
| Note |
Print version record. |
| Subject |
Helmholtz equation.
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Équation d'Helmholtz.
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MATHEMATICS -- Differential Equations -- Partial.
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Helmholtz equation
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| Added Author |
Duraiswami, Ramani.
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| Other Form: |
Print version: Gumerov, Nail A. Fast multipole methods for the Helmholtz equation in three dimensions. Amsterdam ; London : Elsevier, 2004 0080443710 9780080443713 (OCoLC)60416679 |
| ISBN |
9780080443713 |
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0080443710 |
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9780080531595 (electronic bk.) |
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0080531598 (electronic bk.) |
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9781281026934 |
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128102693X |
| Standard No. |
AU@ 000051860237 |
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CHNEW 001006192 |
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DEBBG BV039830903 |
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DEBSZ 367755807 |
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NZ1 12434737 |
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AU@ 000075936600 |
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