A high-order multiscale discontinuous Galerkin method for two-dimensional Schrödinger equation in quantum transport

B Dong, W Wang - Journal of Computational and Applied Mathematics, 2023 - Elsevier
We develop and analyze a high-order multiscale discontinuous Galerkin (DG) method for
two-dimensional stationary Schrödinger equations in quantum transport. The solution of the …

Nonlinear spin dynamics of a couple of nonlinear Schrödinger's equations by the improved form of an analytical method

X Hong, MKM Nasution, OA Ilhan… - … Journal of Computer …, 2022 - Taylor & Francis
Here, different optical soliton wave solutions for a couple of nonlinear Schrödinger's
equations (NLSEs), namely, the nonlinear spin dynamics of Heisenberg ferromagnetic spin …

A new multiscale discontinuous Galerkin method for a class of second-order equations with oscillatory solutions in two-dimensional space

B Dong, W Wang - Spectral and High Order Methods for Partial Differential …, 2022 - Springer
We develop a new high-order multiscale discontinuous Galerkin (DG) method for a class of
second-order equations with oscillatory solutions in two-dimensional space. The solutions of …

Numerical investigations on the resonance errors of multiscale discontinuous Galerkin methods for one-dimensional stationary Schrödinger equation

B Dong, W Wang - Communications on Applied Mathematics and …, 2024 - Springer
In this paper, numerical experiments are carried out to investigate the impact of penalty
parameters in the numerical traces on the resonance errors of high-order multiscale …

Linear Barycentric Rational Method for Solving Schrodinger Equation

P Zhao, Y Cheng - Journal of Mathematics, 2021 - Wiley Online Library
A linear barycentric rational collocation method (LBRCM) for solving Schrodinger equation
(SDE) is proposed. According to the barycentric interpolation method (BIM) of rational …