Fast Multipole Methods for the Helmholtz Equation in Three Dimensions

This volume in the Elsevier Series in Electromagnetism presents a detailed, detailed and self-contained solution for the Helmholtz equation in three dimensions. The Fast Multipole Method was pioneered by Rokhlin and Greengard in 1987 and has enjoyed a dramatic development. This method has been described as the first 10 algorithms of the 20th century. Thus, it is an attractive medium for the broad group of researchers. This is the reason why they have accomplished.

For this reason, physicists and applied mathematicians.

The only book that provides comprehensive coverage of this topic.

Presentations of the Helmholtz equation solutions

A comprehensive model for the issue of 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.