48 citations · 173 across the 16 of their papers we have counts for
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A conservative difference scheme with optimal pointwise error estimates for two-dimensional space fractional nonlinear Schrödinger equations
Hongling Hu, Xianlin Jin, Dongdong He +2
In this paper, a linearized semi-implicit finite difference scheme is proposed for solving the two-dimensional (2D) space fractional nonlinear Schrödinger equation (SFNSE).The sche…
A multigrid-reduction-in-time solver with a new two-level convergence for unsteady fractional Laplacian problems
Xiaoqiang Yue, Kejia Pan, Jie Zhou +3
The multigrid-reduction-in-time (MGRIT) technique has proven to be successful in achieving higher run-time speedup by exploiting parallelism in time. The goal of this article is to…
A linearized energy--conservative finite element method for the nonlinear Schrödinger equation with wave operator
Wentao Cai, Dongdong He, Kejia Pan
In this paper, we propose a linearized finite element method (FEM) for solving the cubic nonlinear Schrödinger equation with wave operator. In this method, a modified leap-frog sch…
An efficient multigrid solver for 3D biharmonic equation with a discretization by 25-point difference scheme
Kejia Pan, Dongdong He, Runxin Ni
In this paper, we propose an efficient extrapolation cascadic multigrid (EXCMG) method combined with 25-point difference approximation to solve the three-dimensional biharmonic equ…