Abstract: The current work proposes a direct rational function fitting method, employing cylindrical waves alone, for the accurate evaluation of Sommerfeld integrals for planar multilayered structures ...

The second Remes algorithm is used to approximate the integrals Kis by rational functions. The related coefficients for the approximations of Ki1, Ki2, Ki3 are given for different precisions.

1 Thoth Technology Inc., Algonquin Radio Observatory, Pembroke, ON, Canada. 2 Department of Earth and Space Science and Engineering, York University, Toronto, Canada. 3 Epic College of Technology, ...

Poincaré in 1891 asked about the necessary and sufficient conditions in order to characterize when a polynomial differential system in the plane has a rational first integral. Here we solve this ...

We provide an algorithm to compute the nodes and weights for Gauss-Chebyshev quadrature formulas integrating exactly in spaces of rational functions with arbitrary real poles outside [-1, 1]. Contrary ...

ABSTRACT: Recently we have reported a new method of rational approximation of the sinc function obtained by sampling and the Fourier transforms. However, this method requires a trigonometric ...

Serves as a continuation of Calculus I. Integration and techniques of integration including the substitution method, integration by parts, trigonometric integrals, trigonometric substitution, ...