段北平（Beiping Duan）

Contact Information:

●  Postal address: Shenzhen MSU-BIT University, 1 International University Park Road, Longgang District, 518172 Shenzhen, Guangdong Province, P.R. China.

●  Office: Room 333, Main Building.

●  Email: duanbeiping@hotmail.com

Educational Background:

●  2009. 9 - 2013. 7: M. Sci. in Applied Mathematics, School of Mathematics and Statistics, Central South University, Changsha, P.R. China;

●  2013. 9 - 2019. 7: Ph. D in Computational Mathematics, successive master-doctor program, School of Mathematics and Statistics, Central South University, Changsha, P.R. China;

●  2016. 9 - 2018. 7: Visiting student, Department of Mathematics, Texas A & M University, Texas, USA.

Working Experience:

●  2019. 9 - 2021.8: Postdoc in Beijing Computational Science Research Center, Beijing & Shenzhen JL Computational Science and Applied Research Institute, Shenzhen. Supervisor: Prof. ZHANG Zhimin.

Research Interests:

●  Approximation theory, computational geometric flows, numerical methods for PDEs including fractional PDEs.

Publications:

[10] Duan Beiping, Zheng Zhoushun*, Cao Wen. Spectral approximation methods and error estimates for Caputo fractional derivative with applications to initial-value problems. J. of Computational Physics, 319, 108-128(2016).

[9] Duan Beiping, Jin Bangti, Lazarov Raytcho*, Pasciak Joseph and Zhou Zhi. Space-time Petrov–Galerkin FEM for fractional diffusion problems. Computational Methods in Applied Mathematics, 18(1), 1-20(2018).

[8] Duan Beiping, Zheng Zhoushun*. An exponentially convergent scheme in time for time fractional diffusion equations with non-smooth initial data. J. of Scientific Computing, 80, 717–742(2019).

[7] Duan Beiping, Lazarov Raytcho*, Pasciak Joseph. Numerical Approximation of Fractional Powers of Elliptic Operators. IMA J. of Numerical Analysis, 40(3), 1746–1771(2020).

[6] Fu Taibai, Zheng Zhoushun*, Duan Beiping. Variational formulation for fractional inhomogeneous boundary value problems. BIT Numerical Mathematics, 60(4), 1203-1219(2020).

[5] Zhang Dawei, Duan Beiping, Dai Binxiang*. Dynamics of a three species ratio-dependent food chain model with diffusion and double free boundaries. Mathematical Modelling of Natural Phenomena, 15(2020).

[4] Duan Beiping*, Zhang Zhimin. A rational approximation scheme for computing Mittag-Leffler function with discrete elliptic operator as input. J. Scientific Computing, 87 (2021)

[3] Fu Taibai, Duan Beiping*, Zheng Zhoushun. An effective finite element method with singularity reconstruction for fractional convection-diffusion equation. J. Scientific Computing, 88(2021).

[2] Duan Beiping, Li Buyang*, Zhang Zhimin. High-order fully discrete energy diminishing evolving surface finite element methods for a class of geometric curvature flows, Annals of Applied Mathematics, 2021, 37(4): 405-436.

[1] Duan Beiping, Li Buyang, Yang Zongze*. An energy diminishing arbitrary Lagrangian-Eulerian finite element method for two-phase Navier-Stokes flow, J. Computational Physics, 2022.

Fundings:

●  Numerical approaches for two kinds of sharp-interface models driven by curvature, founded by China Postdoctoral Science Foundation (No. 2020M682895), PI

Invited Talks:

●  2019. 4 International workshop “3rd Workshop on Numerical Methods for Fractional-derivative Problems”, 30min, CSRC, Beijing;

●  2021. 7 International workshop “5th Workshop on Numerical Methods for Fractional-derivative Problems”, 45min, CSRC, Beijing.