6 citations · 6 across the 7 of their papers we have counts for
7 papers
Numerical analysis of scattering on combinatorial graphs
Moysey Brio, Jean-Guy Caputo
We investigate numerically the scattering of waves on discrete graphs. An efficient algorithm is developed to compute the reflection and transmission (spectral) coefficients. We th…
Energy-superconvergent Explicit Runge--Kutta Time Discretizations
Jinjie Liu, Moysey Brio
This paper investigates the energy conservation properties of explicit Runge--Kutta (RK) time discretizations for autonomous skew-symmetric systems. For linear problems, we present…
Localized eigenvectors on metric graphs
H. Kravitz, M. Brio, J. -G. Caputo
Using our previously published algorithm, we analyze the eigenvectors of the generalized Laplacian for two metric graphs occurring in practical applications. As expected, localizat…
Spectral solutions of PDEs on networks
M. Brio, J. -G. Caputo, H. Kravitz
To solve linear PDEs on metric graphs with standard coupling conditions (continuity and Kirchhoff's law), we develop and compare a spectral, a second-order finite difference, and a…
Scattering of a short electromagnetic pulse from a Lorentz-Duffing film: theoretical and numerical analysis
Moysey Brio, Jean-Guy Caputo, Kyle Gwirtz +2
We combine scattering theory, Fourier, traveling wave and asymptotic analyses together with numerical simulations to present interesting and practically useful properties of femtos…
Stable 3D FDTD Method for arbitrary Fully Electric and Magnetic Anisotropic Maxwell Equations
J. Nehls, C. Dineen, J. Liu +3
We have developed a new fully anisotropic 3D FDTD Maxwell solver for arbitrary electrically and magnetically anisotropic media for piecewise constant electric and magnetic material…
Finite-Difference Time-Domain simulation of spacetime cloak
Jason Cornelius, Jinjie Liu, Moysey Brio
In this work, we present a numerical method that remedies the instabilities of the conventional FDTD approach for solving Maxwell's equations in a space-time dependent magneto-elec…