Mathieu functions of period π or 2π, also called elliptic cylinder functions, were introduced in
1868 by Émile Mathieu together with so-called modified Mathieu functions, in order to help …

Pillars represent some of the commonest supporting elements of modern and historical
buildings. Nondestructive testing methods can be applied to gain information about the …

We review the full spectrum of solutions to the Mathieu differential equation y''+[a-2q cos
(2z)] y= 0, and we describe a numerical algorithm which allows a flexible approach to the …

Abstract Design of antennas for wireless communication systems has attracted increasing
interest during last years. The main objective of this Thesis is to propose a general design …

An elliptic metal cylinder located at the interface between two isorefractive half-spaces, with
its cross-sectional major axis either parallel or perpendicular to the interface is considered …

Software to compute angular and radial Mathieu functions is provided in the case that the
parameter q is a complex variable and the independent variable x is real. After an …

A translation to Fortran 90 of Gertrude Blanch's algorithm for computing the expansion
coefficients of the series that represent Mathieu functions is presented. Its advantages are …

A new approach to overcome the ill-conditioning of the Method of Fundamental Solutions
(MFS) combining Singular Value Decomposition (SVD) and an adequate change of basis …

Iterative solution process is fundamental in seismic inversions, such as in full-waveform
inversions and some inverse scattering methods. However, the convergence could be slow …

An oblate semi-spheroidal cavity flush-mounted under a metal plane and coupled to the half-
space above it via its circular interfocal aperture is considered. The cavity is filled with a …