Implicit application of polynomial filters in a k-step Arnoldi method
SIAM Journal on Matrix Analysis and Applications
A mathematical analysis of the PML method
Journal of Computational Physics
Overview of total least-squares methods
Signal Processing
A perfectly matched layer for the absorption of electromagnetic waves
Journal of Computational Physics
On SVD for estimating generalized eigenvalues of singular matrixpencil in noise
IEEE Transactions on Signal Processing
Scattering signals of monochromatic light incident on a rectangular microchannel
Computers & Mathematics with Applications
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The integration of complicated oscillatory functions arises in computational electromagnetics when evaluating signals produced by the propagation of electromagnetic radiation through the anisotropic layers of a geological formation. The computation of exact integrals involves the evaluation of Sommerfeld integrals. The matrix-pencil method is used for the numerical approximation of such signals. Numerical results show accuracy and robustness of the method for the approximation of these signals, and efficiency in their numerical integration. Sampling frequency is discussed and numerical efficiency is improved by down-sampling.