73 citations · 220 across the 12 of their papers we have counts for
9 papers · 1 filter
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 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…
A three-level linearized difference scheme for the coupled nonlinear fractional Ginzburg-Landau equation
Dongdong He, Kejia Pan
In this paper, the coupled fractional Ginzburg-Landau equations are first time investigated numerically. A linearized implicit finite difference scheme is proposed. The scheme invo…
A fourth-order maximum principle preserving operator splitting scheme for three-dimensional fractional Allen-Cahn equations
Dongdong He, Kejia Pan, Hongling Hu
In this paper, by using Strang's second-order splitting method, the numerical procedure for the three-dimensional (3D) space fractional Allen-Cahn equation can be divided into thre…
A linearly implicit conservative difference scheme for the generalized Rosenau-Kawahara-RLW equation
Dongdong He, Kejia Pan
This paper concerns the numerical study for the generalized Rosenau-Kawahara-RLW equation obtained by coupling the generalized Rosenau-RLW equation and the generalized Rosenau-Kawa…
An extrapolation cascadic multigrid method combined with a fourth order compact scheme for 3D poisson equation
Kejia Pan, Dongdong He, Hongling Hu
In this paper, we develop an EXCMG method to solve the three-dimensional Poisson equation on rectangular domains by using the compact finite difference (FD) method with unequal mes…
A new extrapolation cascadic multigrid method for 3D elliptic boundary value problems on rectangular domains
Kejia Pan, Dongdong He, Hongling Hu
In this paper, we develop a new extrapolation cascadic multigrid (ECMG) method, which makes it possible to solve 3D elliptic boundary value problems on rectangular domains…
An energy preserving finite difference scheme for the Poisson-Nernst-Planck system
Dongdong He, Kejia Pan
In this paper, we construct a semi-implicit finite difference method for the time dependent Poisson-Nernst-Planck system. Although the Poisson-Nernst-Planck system is a nonlinear s…