6 citations · 18 across the 16 of their papers we have counts for
17 papers
Gibbs Phenomenon and Friedel Oscilations: Similarities, Differences, and the Educational Potential of their Comparison
Christos Mystilidis, Christos Tserkezis, George Fikioris
We explore the similarities and differences between the Gibbs phenomenon in partial Fourier representations of discontinuous signals and Friedel oscillations in the electron densit…
A general framework for the study of electrostatic point charges in multilayer planar structures
George Fikioris, Theodoros T. Koutserimpas, Elias N. Glytsis
We develop a general framework for the electrostatic analysis of point charges in multilayer planar structures with arbitrary layer thicknesses and material parameters. Starting fr…
Fundamentals of a Null Field Method-Surface Equivalence Principle Approach for Scattering by Dielectric Cylinders
Minas Kouroublakis, Nikolaos L. Tsitsas, George Fikioris
The null-field method (NFM) and the method of auxiliary sources (MAS) have been both used extensively for the numerical solution of boundary-value problems arising in diverse appli…
Convergence, divergence, and inherent oscillations in MFS solutions of two-dimensional Laplace-Neumann problems
Georgios D. Kolezas, George Fikioris, John A. Roumeliotis
The method of fundamental solutions (MFS), also known as the method of auxiliary sources (MAS), is a well-known computational method for the solution of boundary-value problems. Th…
The Uniqueness Theorem for Nonlocal Hydrodynamic Media
Christos Mystilidis, George Fikioris, Christos Tserkezis +2
We investigate a fundamental electromagnetic theorem, namely the uniqueness theorem, in the context of nonlocal electromagnetics, as simulated by a popular semiclassical model, the…
An extension to "A subsemigroup of the rook monoid"
George Fikioris, Giannis Fikioris
A recent paper studied an inverse submonoid of the rook monoid, by representing the nonzero elements of via certain triplets belonging to . In this short…
A subsemigroup of the rook monoid
George Fikioris, Giannis Fikioris
We define a subsemigroup of the rook monoid and investigate its properties. To do this, we represent the nonzero elements of (which are matrices) via…
Eigenvalue contour lines of Kac-Murdock-Szego matrices with a complex parameter
George Fikioris, Christos Papapanos
A previous paper studied the so-called borderline curves of the Kac--Murdock--Szegő matrix , where . These are the leve…
Eigenvalue bifurcations in Kac-Murdock-Szego matrices with a complex parameter
George Fikioris
For complex , the spectral properties of the Toeplitz matrix , often called the Kac-Murdock-Szegο matrix, have been examined in deta…
Alleviating Oscillatory Approximate-Kernel Solutions for Cylindrical Antennas Embedded in a Conducting Medium: a Numerical and Asymptotic Study
Th. K. Mavrogordatos, C. Mystilidis, P. J. Papakanellos +1
We alleviate the unnatural oscillations occurring in the current distribution along a linear cylindrical antenna center-driven by a delta-function generator and embedded in a condu…
On the Application of Numerical Methods to Hallen's Equation: The Case of a Lossy Medium
Christos Mystilidis, Panagiotis J. Papakanellos, George Fikioris +1
A previous paper analyzed in detail the difficulties associated with the application of numerical methods to Hallen's integral equation with the approximate kernel for the case of…
An Effective-Current Approach for Hallén's Equation in Center-Fed Dipole Antennas with Finite Conductivity
Themistoklis K. Mavrogordatos, Anastasios Papathanasopoulos, George Fikioris
We propose a remedy for the unphysical oscillations arising in the current distribution of carbon nanotube and imperfectly conducting antennas center-driven by a delta-function gen…
Double, borderline, and extraordinary eigenvalues of Kac-Murdock-Szegö matrices with a complex parameter
George Fikioris, Themistoklis K. Mavrogordatos
For all sufficiently large complex , and for arbitrary matrix dimension , it is shown that the Kac--Murdock--Szegő matrix possesse…
On the asymptotics of a cotangent sum related to the Estermann zeta function
George Fikioris
The sum is related to the Estermann zeta function. A recent paper computes the first two terms of the large- asymptotic expansion of…
Spectral properties of Kac-Murdock-Szegö matrices with a complex parameter
George Fikioris
When , the Kac-Murdock-Szegö matrix is a Toeplitz correlation matrix with many applications and very well known s…
Suboscillations with arbitrary shape
Ioannis Chremmos, Yujie Chen, George Fikioris
We report a method for constructing bandpass functions that approximate a given analytic function with arbitrary accuracy over a finite interval. A corollary is that bandpass funct…
Superoscillations with arbitrary polynomial shape
Ioannis Chremmos, George Fikioris
We present a method for constructing superoscillatory functions the superoscillatory part of which approximates a given polynomial with arbitrarily small error in a fixed interval.…