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- W77880164 abstract "There exist two versions of the fast multipole method—one that is based on a multipole expansion of the interaction kernel exp(ikr)/r, and another based on a plane wave expansion of the kernel. The stable plane wave expansion has a lower computational expense than the multipole expansion and does not have the accuracy and stability problems of the plane wave expansion. For a linear system of size N, the use of an iterative method combined with the fast multipole method reduces the total expense of the computation to N log N. The solution of the Helmholtz and Maxwell equations, using integral formulations, requires solving large complex linear systems. A direct solution of such problems, using Gauss elimination, is practical only for very small systems with few unknowns. The use of an iterative method can reduce the computational expense." @default.
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- W77880164 date "2003-01-01" @default.
- W77880164 modified "2023-09-26" @default.
- W77880164 title "Fast multipole method for low-frequency electromagnetic scattering" @default.
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- W77880164 doi "https://doi.org/10.1016/b978-008044046-0.50320-1" @default.
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