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— Faculty —

HE, Dongdong

Title:

Assistant Professor

Education Background

PhD(York University, Canada)

B.S.(Hefei University of Technology)

Research Field
Computational Fluid Dynamics, Numerical Methods for Partial Differential Equations, Mathematical Modelling and Scientific Computing, Applied Asymptotic Analysis
Email

hedongdong@cuhk.edu.cn

Biography:


Dongdong He received the B.S. degree in Mathematics from Hefei University of Technology in 2006, then did three years’ graduate study in applied mathematics at Fudan University from 2006 to 2009. Thereafter, he did PhD study at York University, Canada from 2009 to 2012. From August 2012 to November  2013, he was a postdoctoral fellow at Department of Mathematics, City University of Hong Kong. From September 2013 to October 2017, he worked at School of Aerospace Engineering and Applied Mechanics,Tongji University as an Assistant Professor (September 2013-December 2016)  and the Tenured Associate Professor (December 2016-October 2017). Prof. He joined the school of science and engineering, the Chinese University of Hong Kong, Shenzhen as an Assistant Professor in November 2017.

Prof. He’s research interests include Computational Fluid Dynamics, Numerical Methods for Partial differential Equations, Mathematical Modelling and Scietific Computing, Applied Asymptotic Analysis. He has published 21 journal papers. Most of these papers are published in international recognized top journals in the field of Fluid Mechanics, Computational and Applied Mathematics, Nonlinear Mechanics, which include 《Journal of Fluid Mechanics》、《Journal of Computational Physics》、《Communications in Computational Physics》、 《Nonlinear Dynamics》、 《Physical Review E》、《Journal of Scientific Computing》、《Applied Mathematical Modelling》、《Computers & Mathematics with Applications》、《Numerical Algorithms》 etc.


Academic Publications:


1. Buyun Chen, Dongdong He*, Kejia Pan,  A linearized high-order combined compact finite difference method for solving multi-dimensional coupled Burgers' equations. Numerical Mathematics: Theory, Methods and Applications, accepted.

2. Dongdong He, Kejia Pan,  A high-order combined compact finite difference method for the Stokes flow on the polar geometries.   East Asian Journal on Applied Mathematics, accepted. 

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

4. Kejia Pan, Dongdong He, Hongling Hu, Zhengyong Ren, A new extrapolation cascadic multigrid method for 3D elliptic boundary value problems on rectangular domains.  Journal of Computational Physics, 344 (2017) 499-515. 

5. Dongdong He, Kejia Pan, An unconditionally stable linearized CCD-ADI method for generalized nonlinear Schr\"{o}dinger equations with variable coefficients in two and three dimensions. Computers & Mathematics with Applications,73 (2017) 2360-2374. 

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

7. 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. 

8.  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. 

9. 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.

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

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

12. 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. 

13. Dongdong He*, On the L^{\infty}-norm  convergence of a three-level linearly implicit finite difference method for the extended Fisher-Kolmogorov equation in both 1D and 2D.  Computers & Mathematics with Applications, 71 (12)  (2016) 2594-2607.

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

15. Dongdong He* and  Kejia Pan, A linearly implicit conservative  difference scheme for the generalized Rosenau-Kawahara-RLW equation. Applied Mathematics and Computation,  271 (2015),  323-336. 

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

17. 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. 

18. 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. 

19. 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.

20. Dongdong He and Huaxiong Huang, A constrained level set method

For simulating the formation of liquid bridges. Communications in Computational Physics, 2 (2012) 577-594.

21. 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.