3 papers
math-ph2025
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…
math.NA2021
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…
physics.optics2018
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…