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7 papers · 2 filters
Plane Wave Methods for Quantum Eigenvalue Problems of Incommensurate Systems
Yuzhi Zhou, Huajie Chen, Aihui Zhou
We propose a novel numerical algorithm for computing the electronic structure related eigenvalue problem of incommensurate systems. Unlike the conventional practice that approximat…
An adaptive moving mesh discontinuous Galerkin method for the radiative transfer equation
Min Zhang, Juan Cheng, Weizhang Huang +1
The radiative transfer equation models the interaction of radiation with scattering and absorbing media and has important applications in various fields in science and engineering.…
Runge-Kutta semidiscretizations for stochastic Maxwell equations with additive noise
Chuchu Chen, Jialin Hong, Lihai Ji
The paper concerns semidiscretizations in time of stochastic Maxwell equations driven by additive noise. We show that the equations admit physical properties and mathematical struc…
Parallel-in-Time with Fully Finite Element Multigrid for 2-D Space-fractional Diffusion Equations
Xiaoqiang Yue, Shi Shu, Xiaowen Xu +2
The paper investigates a non-intrusive parallel time integration with multigrid for space-fractional diffusion equations in two spatial dimensions. We firstly obtain a fully discre…
Mean-square convergence of a semi-discrete scheme for stochastic nonlinear Maxwell equations
Chuchu Chen, Jialin Hong, Lihai Ji
In this paper, we propose a semi-implicit Euler scheme to discretize the stochastic nonlinear Maxwell equations with multiplicative Ito noise, which is implicit in the drift term a…
A two-stage fourth order time-accurate discretization for Lax--Wendroff type flow solvers II. High order numerical boundary conditions
Zhifang Du, Jiequan Li
This paper serves to treat boundary conditions numerically with high order accuracy in order to match the two-stage fourth-order finite volume schemes for hyperbolic problems devel…