6 citations · 6 across the 7 of their papers we have counts for
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math.NA2024
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…
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…
math.NA2018
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…