Yan WANG-华中师范大学数学学院中文站

Personal Introduction

Education

Ph.D, 2016, National University of Singapore
B.Sc, 2011, Beijing Normal University

Research Field?

Solid-state dewetting problem, contact line problem
Highly oscillatory partial differential equations
Numerical methods for partial differential equations

Academic Visit

Publication

[1]. Sharp interface model for solid-state dewetting problems with weakly anisotropic surface energies (with Wei Jiang, Weizhu Bao and David J. Srolovitz), Physical Review B, Vol. 91, article 045303, 2015.
[2]. Solid-state dewetting and island morphologies in strongly anisotropic materials (with Wei Jiang, Weizhu Bao, Quan Zhao and David J. Srolovitz), Scripta Materialia, Vol. 115, 123-127, 2016.
[3]. A parametric finite element method for solid-state dewetting problems with anisotropic surface energies (with Weizhu Bao, Wei Jiang and Quan Zhao), Journal of Computational Physics, Vol. 330, pp. 380-400, 2017.
[4]. Stable equilibria of anisotropic particles on substrates: a generalized Winterbottom construction (with Weizhu Bao, Wei Jiang and David J. Srolovitz), SIAM Journal on Applied Mathematics, Vol. 77, pp. 2093–2118, 2017.
[5]. Symmetric high order Gautschi-type exponential wave integrators pseudospectral method for the nonlinear Klein-Gordon equation in the nonrelativistic limit regime (with Xiaofei Zhao), International Journal of Numerical Analysis and Modeling, Vol. 15, pp. 405–427, 2018.
[6]. A uniformly accurate (UA) multiscale time integrator pseudospectral method for the nonlinear Dirac equation in the nonrelativistic limit regime (with Yongyong Cai), ESAIM Mathematical Modelling and Numerical Analysis, Vol. 52, pp. 543–566, 2018.
[7]. Solid-state dewetting on curved substrates (with Weizhu Bao, Wei Jiang and David J.Srolovitz), Physical Review Materials, article 113401, 2018.
[8] Uniformly accurate nested Picard iterative integrators for the Dirac equation in the nonrelativistic limit regime (with Yongyong Cai), SIAM Journal on Numerical Analysis, Vol. 57, pp. 1602-1624, 2019.
[9]. (Semi-) Nonrelativistic limit of the nonlinear Dirac equations (with Yongyong Cai), Journal of Mathematical Study, Vol. 53, pp. 125-142, 2020.
[10]. Low-regularity integrators for nonlinear Dirac equations (with Katharina Schratz and Xiaofei Zhao), Mathematics of Computation, Vol. 90, pp. 189-214, 2021.
[11]. A \theta-L approach for solving solid-state dewetting problems (with Wei Jiang and Weijie Huang), Journal of Computational Mathematics, Vol. 40, pp. 275-293, 2022.
[12]. Uniformly accurate nested Picard iterative integrators for the nonlinear Dirac equation in the nonrelativistic regime (with Yongyong Cai), Multiscale Modeling and Simulation, Vol. 20, pp. 164-187, 2022.
[13]. A symmetric low-regularity integrator for nonlinear Klein-Gordon equation (with Xiaofei Zhao), Mathematics of Computation, Vol.91, pp. 2215-2245, 2022.
[14]. On nested Picard iterative integrators for highly oscillatory second-order differential equations, Numerical Algorithms, Vol. 91, pp. 1627-1651, 2022.
[15]. Numerical methods for the nonlinear Dirac equation in the massless nonrelativistic regime (with Ying He, Jerry Zhijian Yang and Hongshuang Yin), East Asian Journal on Applied Mathematics, Vol. 14, pp. 79-103, 2024.
[16]. A \theta-L approach for the simulation of solid-state dewetting problems with strongly anisotropic surface energies (with Wei Jiang and Weijie Huang), Journal of Scientific Computing, Vol. 100, article 35, 2024.
[17]. Dynamics of small solid particles on substrate of arbitrary topography (with Quan Zhao, Wei Jiang, David J. Srolovitz, Tiezheng Qian and Weizhu Bao), Acta Materialia, Vol. 281, article 120407, 2024.

Contact Information

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