TY  - BOOK
AU  - Gumerov,Nail A.
AU  - Duraiswami,Ramani
TI  - Fast multipole methods for the Helmholtz equation in three dimensions
T2  - Elsevier series in electromagnetism
SN  - 9780080443713
AV  - QA377 GUM
U1  - 515.3533 22
PY  - 2004///
KW  - Helmholtz equation
KW  - MATHEMATICS
KW  - Differential Equations
KW  - Partial
KW  - bisacsh
KW  - fast
N1  - Includes bibliographical references (pages 509-513) and index; 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
N2  - 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
UR  - https://www.sciencedirect.com/science/book/9780080443713
ER  -