Research Interest: Numerical methods and analysis for fractional differential equations, delay differential equations and parabolic problems, Mathematical modeling, Long time behavior of time-dependent problems, applied linear algebra,  information theory

Academic Degrees

PhD, 2011, School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, China;

Bachelor, 2006, School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, China.

Professional Experience

Associate Professor (2014/11-present); School of Mathematics and Statistics, Huazhong University of Science and Technology;

Lecturer (20011/07-2014/10); School of Mathematics and Statistics, Huazhong University of Science and Technology;

Postdoctoral Research fellow (2015/2-2017/2),  Department of Mathematics, City University of Hong Kong;

Postdoctoral Research fellow (2012/9-2013/8),  Department of Mathematics and Statistics, McGill Uninversity, Canada.

Selected Publications

• 1. Dongfang Li, Jilu Wang, Jiwei Zhang,  Unconditionally convergent L1-Galerkin FEMs for nonlinear time-fractional Schrodinger equations, SIAM Journal of Scientific Computing, 2018, in Press.

• 2 Dongfang Li, Honglin Liao, Weiwei Sun, Jilu Wang, Jiwei Zhang, Analysis of L1-Galerkin FEMs for  time fractional  nonlinear parabolic problems, Commu. Comput. Phys., 23 (2018), in press.

• 3. Dongfang Li, Jilu Wang,Unconditionally optimal error analysis of Crank-Nicolson Galerkin FEMs for a strongly nonlinear parabolic systems, Journal of Scientific Computing, 72 (2017), 892-915.

• 4. Dongfang Li, Jiwei Zhang, Efficient implementation to numerically solve the nonlinear time fractional parabolic problems on unbounded spatial domain, Journal of Computational Physics, 322 (2016) 415-428.

• 5. Dongfang LI, Chengjian Zhang, L-infinity error estimates of discontinuous Galerkin methods for delay differential equations, Applied Numerical Mathematics, 82, pp 1-10, 2014

• 6 Dongfang Li, Chengjian Zhang, Wansheng Wang, Long time behavior of non-Fickian delay reaction-diffusion equations, Nonlinear Analysis: Real World Applications, 13(3), pp 1401-1415, 2012

• 7 Dongfang Li, Chengjian Zhang, Wansheng Wang, Yangjing Zhang, Implicit-explicit predictor-corrector schemes for nonlinear parabolic differential equations, Applied Mathematical Modelling, 35(6), pp 2711-2722, 2011

• 8. Jinming Wen, Dongfang LI,  Fumin Zhu,Stable recovery of sparse signals via l(p)-minimization, Applied and Computational Harmonic Analysis, 38(1), pp 161-176, 2015

• 9 Waixiang Cao, Dongfang Li, Yang Yang, Zhimin Zhang,  Superconvergence of discontinuous Galerkin methods based on upwind-biased fluxes for 1D linear hyperbolic equations, ESAIM: Mathematical Modelling and Numerical Analysis，2017.2.10，51：467~486

• 10 Waixiang Cao, Dongfang Li, Zhimin Zhang, Optimal Superconvergence of Energy Conserving Local Discontinuous Galerkin Methods for Wave Equations,Communications in Computational Physics, 21(1), pp 211-236, 2017

Awards:

2014 Young Scholar of Distinction, Huazhong University of Science and Technology

2015 Hong Kong Scholarship, The Society of Hong Kong Scholars and the China National Postdoctoral Council

Courses Taught

Numerical Algebra, Numerical Analysis, Computational Methods, Calculus, Linear Algebra and Its Applications, Statistical Computation

Project

1. National Natural Science Foundation of China：11771162, Research on performance numerical methods for several multi-dimensional nonlinear differential equations, 2018/01—2021/12, PI

2. National Natural Science Foundation of China：11201161, Novel Stability-Preserving Numerical Methods for Several Classes of Delay Differential Equations and Their Applications, 2013/01—2015/12, PI

3. China Postdoctoral Science Foundation, 2016M602273, Long time numerical behavior of several delay differential equations, 2016-2017, PI