activity
20122020
most citedA mathematical model of the metabolic and perfusion effects on cortical spreading depression

73 citations · 220 across the 12 of their papers we have counts for

collaborators

12 papers

math.OC2020

Last-mile Delivery: Optimal Locker Location Under Multinomial Logit Choice Model

Yun Hui Lin, Dongdong He, Yuan Wang +1

One innovative solution to the last-mile delivery problem is the self-service locker system. Motivated by a real case in Singapore, we consider a POP-Locker Alliance who operates a…

math.NA2019

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…

math.NA2019

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…

math.NA2019

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…

math.NA2018★ 2 cited

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…

math.NA2018★ 4 cited

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…

cs.CE2017

Wave analysis in one dimensional structures with a wavelet finite element model and precise integration method

Shuaifang Zhang, Dongdong He, Dongsheng Li +3

Numerical simulation of ultrasonic wave propagation provides an efficient tool for crack identification in structures, while it requires a high resolution and expensive time calcul…

math.NA2015

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…

math.NA2015★ 48 cited

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…

math.NA2015★ 48 cited

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…

math.NA2015★ 45 cited

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…

q-bio.NC2012★ 73 cited

A mathematical model of the metabolic and perfusion effects on cortical spreading depression

Joshua C. Chang, K. C. Brennan, Dongdong He +4

Cortical spreading depression (CSD) is a slow-moving ionic and metabolic disturbance that propagates in cortical brain tissue. In addition to massive cellular depolarization, CSD a…