4 papers
A -Adaptive Hermite Method for Nonlinear Dispersive Maxwell's Equations
Yann-Meing Law, Zhichao Peng, Daniel Appelö +1
In this work, we introduce a novel Hermite method to handle Maxwell's equations for nonlinear dispersive media. The proposed method achieves high-order accuracy and is free of any…
An Optimal O(N) Helmholtz Solver for Complex Geometry using WaveHoltz and Overset Grids
Daniel Appelo, Jeffrey W. Banks, William D. Henshaw +1
We develop efficient and high-order accurate solvers for the Helmholtz equation on complex geometry. The schemes are based on the WaveHoltz algorithm which computes solutions of th…
Energy-Conserving Hermite Methods for Maxwell's Equations
Daniel Appelo, Thomas Hagstrom, Yann-Meing Law-Kam-Cio
Energy-conserving Hermite methods for solving Maxwell's equations in dielectric and dispersive media are described and analyzed. In three space dimensions methods of order to…
Mathematical approaches for characterization, control, calibration and validation of a quantum computing device
Zhichao Peng, Daniel Appelo, N. Anders Petersson +2
Quantum computing has received significant amounts of interest from many different research communities over the last few years. Although there are many introductory texts that foc…