research
∙
09/17/2023
Reduced projection method for quasiperiodic Schrödinger eigenvalue problems
This paper presents a reduced algorithm to the classical projection meth...
share
research
∙
08/24/2023
A second-order length-preserving and unconditionally energy stable rotational discrete gradient method for Oseen-Frank gradient flows
We present a second-order strictly length-preserving and unconditionally...
research
∙
08/24/2023
A highly efficient and accurate divergence-free spectral method for curl-curl equation in two and three dimensions
In this paper, we present a fast divergence-free spectral algorithm (FDS...
research
∙
11/18/2022
An Energy-Conserving Fourier Particle-in-Cell Method with Asymptotic-Preserving Preconditioner for Vlasov-Ampère System with Exact Curl-Free Constraint
We present an efficient and accurate energy-conserving implicit particle...
research
∙
06/14/2020
gPAV-Based Unconditionally Energy-Stable Schemes for the Cahn-Hilliard Equation: Stability and Error Analysis
We present several first-order and second-order numerical schemes for th...
research
∙
05/28/2020
On time-domain NRBC for Maxwell's equations and its application in accurate simulation of electromagnetic invisibility cloaks
In this paper, we present analytic formulas of the temporal convolution ...
research
∙
10/20/2019
A Truly Exact and Optimal Perfect Absorbing Layer for Time-harmonic Acoustic Wave Scattering Problems
In this paper, we design a truly exact and optimal perfect absorbing lay...
research
∙
03/30/2019