28 citations · 66 across the 4 of their papers we have counts for
4 papers · 1 filter
Conservation properties of a leapfrog finite-difference time-domain method for the Schrödinger equation
Fadime Bekmambetova, Piero Triverio
We study the probability and energy conservation properties of a leap-frog finite-difference time-domain (FDTD) method for solving the Schrödinger equation. We propose expressions…
A Dissipation Theory for Three-Dimensional FDTD with Application to Stability Analysis and Subgridding
Fadime Bekmambetova, Xinyue Zhang, Piero Triverio
The finite-difference time-domain (FDTD) algorithm is a popular numerical method for solving electromagnetic problems. FDTD simulations can suffer from instability due to the expli…
A Stable FDTD Method with Embedded Reduced-Order Models
Xinyue Zhang, Fadime Bekmambetova, Piero Triverio
The computational efficiency of the Finite-Difference Time-Domain (FDTD) method can be significantly reduced by the presence of complex objects with fine features. Small geometrica…
A Dissipative Systems Theory for FDTD with Application to Stability Analysis and Subgridding
Fadime Bekmambetova, Xinyue Zhang, Piero Triverio
This paper establishes a far-reaching connection between the Finite-Difference Time-Domain method (FDTD) and the theory of dissipative systems. The FDTD equations for a rectangular…