A fast algorithm for the discrete Laplace transformation
Journal of Complexity
A fast algorithm to compute the wave-scattering solution of a large strip
Journal of Computational Physics
High-Order Corrected Trapezoidal Quadrature Rules for Singular Functions
SIAM Journal on Numerical Analysis
Generalized Gaussian Quadratures and Singular Value Decompositions of Integral Operators
SIAM Journal on Scientific Computing
Fast and Efficient Algorithms in Computational Electromagnetics
Fast and Efficient Algorithms in Computational Electromagnetics
Fast and Stable Algorithms for Banded Plus Semiseparable Systems of Linear Equations
SIAM Journal on Matrix Analysis and Applications
On the Compression of Low Rank Matrices
SIAM Journal on Scientific Computing
A fast direct solver for boundary integral equations in two dimensions
Journal of Computational Physics
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
A fast directional algorithm for high-frequency electromagnetic scattering
Journal of Computational Physics
A Butterfly Algorithm for Synthetic Aperture Radar Imaging
SIAM Journal on Imaging Sciences
A Cartesian non-uniform grid interpolation method for fast field evaluation on elongated domains
International Journal of Numerical Modelling: Electronic Networks, Devices and Fields
Hi-index | 31.45 |
A fast solver is presented for the solution of scattering problems in which the scatterer is a relatively thin, elongated object. The scheme presented here is a version of an algorithm previously published by the authors, and is based on the observation that under certain conditions and with certain modifications, the scheme will retain its O(n) CPU time estimate independently of the size of the scatterer in wavelengths. The performance of the scheme is illustrated with numerical examples.