Abstract
Recently, there has been renewed interest on solving integral equations due to the advent of various fast multilevel techniques in solving these equations. These fast solvers explore the special structure of the matrices that arise from the numerical approximation of the integral equation. The kernel of the integral equations is usually related to the Green's function which is translationally invariant. This property manifests itself in the numerical approximations of the Green's operator. As a result, an otherwise dense-matrix vector multiply can be performed in O(N log N) operations. These methods are reviewed and related to communication of N telephones, group theory, and fast Fourier transforms of nonuniformly spaced data.
Original language | English (US) |
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Pages (from-to) | 874 |
Number of pages | 1 |
Journal | IEEE Antennas and Propagation Society, AP-S International Symposium (Digest) |
Volume | 2 |
State | Published - 1998 |
Event | Proceedings of the 1998 IEEE International Antennas and Propagation Symposium and USNC/URSI National Radio Science Meeting. Part 1 (of 4) - Atlanta, GA, USA Duration: Jun 21 1998 → Jun 26 1998 |
ASJC Scopus subject areas
- Electrical and Electronic Engineering