Diandian Gu, Jonathan Wylie*, Dongdong He*, Yvonne M. Stokes, Drawing of weakly viscoelastic fluid tubes. Journal of Fluid Mechanics. 1014 (2025) A27.

Mingyang Pan, Chengxing Fu, Liu Yang, Dongdong He, A fully-decoupled, second-order accurate, positivity-preserving and energy stable scheme for a two-phase flow system with ions transport. Journal of Computational and Applied Mathematics. 465 (2025) 116573.

Mingyang Pan, Sifu Liu, Wenxing Zhu, Fengyu Jiao, Dongdong He*, A linear second order positivity preserving and unconditionally energy stable scheme for the Navier-Stokes-Poisson-Nernst-Planck system. Communications in Nonlinear Science and Numerical Simulations. 131 (2024) 107873.

Lixiu Dong, Dongdong He, Yuzhe Qin, Zhengru Zhang, A positivity preserving, linear, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck (PNP) system. Journal of Computational and Applied Mathematics. 444 (2024) 115784.

Wenxing Zhu, Mingyang Pan*, Qinghe Wang, Fengyu Jiao, Dongdong He*, Decoupled second-order energy stable scheme for an electrohydrodynamic model with variable electrical conductivity. Journal of Computational and Applied Mathematics. 438 (2024) 115530.

Fang Li, Dongdong He*, Dynamics of a surfactant-laden viscoelastic thread in presence of surface viscosity. Journal of Fluid Mechanics. 966 (2023) A35.

Mingyang Pan, Chengxing Fu, Wenxing Zhu, Fengyu Jiao, Dongdong He*, Linear, second-order,unconditionally energy stable scheme for an electrohydrodynamic model with variable density and conductivity. Communications in Nonlinear Science and Numerical Simulations. 125 (2023) 107329.

Jonathan J. Wylie, Nazmun N. Papri, Yvonne M. Stokes, Dongdong He, Stability of drawing of microstructured optical fibres. Journal of Fluid Mechanics, 962 (2023) A12.

Wenxuan Guo, Qiang Zhang, Dongdong He, On the nonlinear behaviour of the Rayleigh-Taylor instability with a tangential electric field for inviscid and perfect dielectric fluids. Journal of Fluid Mechanics, 958 (2023) A36.

Qinghe Wang, Mingyang Pan, Yu-Hau Tseng, Dongdong He*, An energy stable immersed boundary method for deformable membrane problem with non-uniform density and viscosity. Journal of Scientific Computing, (2023) 94:30.

Pinxia Wu, Kejia Pan, Weiwei Ling, Dongdong He, An Efficient EXCMG-Newton Method Combined with Fourth-Order Compact Schemes for Semilinear Poisson Equations. East Asian Journal on Applied Mathematics, 13 (2023) 119-139.

Hongling Hu, Xianlin Jin, Dongdong He∗, Qifeng Zhang, Kejia Pan, A conservative difference scheme with optimal pointwise error estimates for two-dimensional space fractional nonlinear Schrödinger equation. Numerical Methods for Partial Differential Equations. 38 (2022) 4–32.

Kejia Pan, Saiyan Zhang, Dongdong He∗, Jiali Zeng, An unconditionally stable fourth-order semi-implicit scheme for the fractional nonlinear Schrödinger equation with wave operator. Applicable Analysis,101 (2022) 2886-2902.

Mingyang Pan, Dongdong He∗, Kejia Pan, Energy stable finite element method for an electrohy-drodynamic model with variable density. Journal of Computational Physics, 424 (2021) 109870.

2021Fang Li, Dongdong He∗, Dynamics of a viscoelastic liquid thread surrounded by a Newtonian fluid inside a cylindrical tube. Journal of Fluid Mechanics. 926 (2021) A21.

Kejia Pan, Dongdong He, Zhilin Li, A High Order Compact FD Framework for Elliptic BVPs Involving Singular Sources, Interfaces, and Irregular Domains. Journal of Scientific Computing. 88 (2021) 1–25.

Dongdong He, Jonathan J. Wylie, Temporal instability of a viscoelastic liquid thread surrounded by another viscoelastic fluid in presence of insoluble surfactant and inertia. Journal of Non-Newtonian Fluid Mechanics. 288 (2021) 104468.

Mingyang Pan, Qinghe Wang,  Dongdong He*, Kejia Pan, Positive-definiteness preserving and energy stable time-marching scheme for a diffusive Oldroyd-B electrohydrodynamic model. Communications in Nonlinear Science and Numerical Simulation. 96 (2021) 105630.

Mingyang Pan, Dongdong He*, Kejia Pan, Unconditionally energy stable method for solving eletrohytrodynamic system. Computer Methods in Applied Mechanics and Engineering. 361 (2020) 112817.

Dongdong He, Kejia Pan, Hongling Hu, A spatial fourth-order maximum principle preserving operator splitting scheme for the multi-dimensional fractional Allen-Cahn equation. Applied Numerical Mathematics. 151 (2020) 44--63.

Kejia Pan, Xianlin Jin, Dongdong He*, Pointwise error estimates of a linearized difference scheme for strongly coupled  fractional Ginzburg-Landau equations. Mathematical Methods in the Applied Sciences. 43 (2020) 512--535.

Dongdong He, Kejia Pan, Xiaoqiang Yue, A positivity preserving and free energy dissipative difference scheme for the Poisson-Nernst-Planck system. Journal of Scientific Computing.  81 (2019) 436-458.

Wentao Cai,  Dongdong He*, Kejia Pan, A linearized energy-conservative finite element method for the nonlinear Schrodinger equation with wave operator. Applied Numerical Mathematics.  140 (2019) 183-198.

Dongdong He, Kejia Pan, Maximum norm error analysis of an unconditionally stable semi-implici scheme for multi-dimensional Allen-Cahn equations. Numerical Methods for Partial Differential Equations 35 (2019) 955-975.

Buyun Chen, Dongdong He*, Kejia Pan, An unconditionally stable CCD-ADI method for a twodimensional linear hyperbolic equation with variable coefficients. International Journal of Computer Mathematics, 96 (2019) 992-1004.

Yunqiao Liu, Dongdong He, Xiaobo Gong, Huaxong Huang, Deformation of an encapsulated bubble
in steady and oscillatory electric fields. Journal of Fluid Mechanics. 844 (2018) 567-596.  (Top 1 Journal in Fluid Mechanics)

Dongdong He, Kejia Pan, An unconditionally stable linearized difference scheme for the fractiona Ginzburg-Landau equation. Numerical Algorithms,79 (2018) 899-925.

Buyun Chen, Dongdong He*, Kejia Pan, A linearized high-order combined compact finite differenc method for solving multi-dimensional coupled Burgers’ equations. Numerical Mathematics-Theory, Methods and Applications, 11 (2018) 299-320.

Dongdong He, Kejia Pan, A high-order combined compact finite difference method for the Stokes flo on the polar geometries. East Asian Journal on Applied Mathematics, 7 (2017) 714-727.

Hongling Hu, Zhengyong Ren, Dongdong He, Kejia Pan, On the convergence of an extrapolation cascadic multigrid method for elliptic problems. Computers & Mathematics with Applications, 74 (2017) 759-771

Kejia Pan, Dongdong He, Hongling Hu, Zhengyong Ren, A new extrapolation cascadic multigrid method for three dimensional elliptic boundary value problems. Journal of Computational Physics, 344 (2017) 499-515. (Top journal in computational fluid mechanics and computational physics)

Dongdong He, Kejia Pan, An unconditionally stable linearized CCD-ADI method for generalize nonlinear Schr¨odinger equations with variable coefficients in two and three dimensions. Computers & Mathematics with Applications, 73 (2017) 2360-2374.

Huadong Gao, Dongdong He*, Linearized Conservative Finite Element Methods for the Nernst-Planck-Poisson Equations. Journal of Scientific Computing, 72 (2017) 1269-1289.

Kejia Pan, Dongdong He*, Chuanmiao Chen, An extrapolation cascadic multigrid method for elliptic problems on reentrant domains. Advances in Applied Mathematics and Mechanics, 9 (2017) 1347- 1363.

Kejia Pan, Dongdong He*, Hongling Hu, An extrapolation cascadic multigrid method combined with a fourth order compact scheme for 3D poisson equation. Journal of Scientific Computing, 70 (2017) 1180-1203.

Dongdong He and Huaxiong Huang, A contact line dynamic model for a conducting water drop on an electrowetting device. Communications in Computational Physics, 20 (2016) 811-834.

Dongdong He, Jonathan J. Wylie, Huaxiong Huang and Robert M. Miura, Extension of a viscou thread with temperature-dependent viscosity and surface tension. Journal of Fluid Mechanics, 800 (2016) 720-752.  (Top 1 Journal in Fluid Mechanics)

Dongdong He, An unconditionally stable spatial sixth order CCD-ADI method for the two dimensiona linear hyperbolic equation. Numerical Algorithms, 72 (2016) 1103-1117.

Dongdong He and Kejia Pan, An energy preserving finite difference scheme for the Poisson-Nernst-Planck system. Applied Mathematics and Computation, 287-288(5) (2016) 214-223.

Dongdong He, On the L1-norm convergence of a three-level linearly implicit finite difference metho for the extended Fisher-Kolmogorov equation in both 1D and 2D. Computers & Mathematics with Applications 71 (12) (2016) 2594-2607

Dongdong He, Exact solitary solution and a three-level linearly implicit conservative finite differenc method for the generalized Rosenau-Kawahara-RLW equation with generalized Novikov type perturbation. Nonlinear Dynamics, 85 (2016) 479-498.

Dongdong Heand Kejia Pan, A linearly implicit conservative difference scheme for the generalized

Rosenau-Kawahara-RLW equation. Applied Mathematics and Computation, 271 (2015), 323-336.

Dongdong He, New solitary solutions and a conservative numerical method for the Rosenau-Kawahar equation with power law nonlinearity. Nonlinear Dynamics, 82 (2015), 1177-1190.

Dongdong He and Kejia Pan, An order optimal regularization method for the Cauchy problem of a Laplace equation in an annulus domain. Applied Mathematical Modelling, 39 (10-11) (2015) 3063-3074.

Xiangsheng Wang, Dongdong He, Jonathan J. Wylie, Huaxiong Huang, Singular perturbation solutions
of steady-state Poisson-Nernst-Planck systems, Physical Review E, 89, 022722, 2014.

Joshua C. Chang, K.C. Brennan, Dongdong He, Huaxiong Huang, Robert M. Miura, Phillip L. Wilson, Jonathan J. Wylie, A mathematical model of the metabolic and perfusion effects on cortical spreading depression. PLoS One 8(8): e70469. (2013) doi:10.1371/journal.pone.0070469.

Dongdong He and Huaxiong Huang, A constrained level set method for simulating the formation of liqui bridges. Communications in Computational Physics, 2 (2012) 577-594. 

Dongdong He, Huaxiong Huang and Youngji Tan, Numerical simulation for a droplet fission process of electrowetting on dielectric device. Communications in Computational Physics, 7 (2010) 1076-1094.