Fast Multipole Methods for the Helmholtz Equation in Three Dimensions

This is the only book which provides a comprehensive coverage of this topic in one volume

Part of the Elsevier series in Electromagnetism, this volume presents the treatment of the Fast Multipole Method and its applications to the solution of the Helmholtz equation in three dimensions. It presents a review of the basic theory of expansions of the Helmholtz equation solutions. It is suitable for engineers, physicists and mathematicians.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.