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

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 ...

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 ...

Manufacturing is undergoing profound transformations, among which green biomanufacturing with low energy consumption, high efficiency, and sustainability is becoming one of the major trends. However, ...