Jilu Wang 王冀鲁

Office: Allen 417 E-mail: jwang@math.msstate.edu Address: 175 President's Circle, Starkville, MS 39762, USA

I'm a visiting assistant professor in the Department of Mathematics and Statistics at Mississippi State University.

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Research Interests

1. Numerical analysis and scientific computing

• Stochastic partial differential equations
• Incompressible flow in porous media
• Schrödinger equation
• Fractional partial differential equations
• Finite element methods

2. Modelling, analysis, and computation of heat and sweat transport in fibrous media

You can follow my research on ResearchGate.

Teaching Spring 2019

• MA2733 Calculus III

Education

• Ph.D., Computational Mathematics (Advisor: Prof. Weiwei Sun), City University of Hong Kong, 2015
• B.S., Statistics, Shandong University, 2011

Publications

• M. Gunzburger and J. Wang
  Error analysis of fully discrete finite element approximations to an optimal control problem governed by a time-fractional PDE
  SIAM J. Control Optim., 57 (2019), 241-263
• M. Gunzburger and J. Wang
  A second-order Crank-Nicolson scheme for time-fractional PDEs
  Int. J. Numer. Anal. & Model., 16 (2019), 225-239
• M. Gunzburger, B. Li and J. Wang
  Convergence of finite element solutions of stochastic partial integro-differential equations driven by white noise
  Numer. Math., 141 (2019), 1043-1077
• M. Gunzburger, B. Li and J. Wang
  Sharp convergence rates of time discretization for stochastic time-fractional PDEs subject to additive space-time white noise
  Math. Comp., DOI:10.1090/mcom/3397, 2019
• J. Wang
  Unconditional stability and convergence of Crank-Nicolson Galerkin FEMs for a nonlinear Schrödinger-Helmholtz system
  Numer. Math., 139 (2018), 479-503
• D. Li, H. Liao, W. Sun, J. Wang and J. Zhang
  Analysis of L1-Galerkin FEMs for time-fractional nonlinear parabolic problems
  Commun. Comput. Phys., 24 (2018), 86-103
• D. Li, J. Wang and J. Zhang
  Unconditionally convergent L1-Galerkin FEMs for nonlinear time-fractional Schrödinger equations
  SIAM J. Sci. Comput., 39 (2017), A3067-A3088
• D. Li and J. Wang
  Unconditionally optimal error analysis of Crank-Nicolson Galerkin FEMs for a strongly nonlinear parabolic system
  J. Sci. Comput., 72 (2017), 892-915
• W. Sun and J. Wang
  Optimal error analysis of Crank-Nicolson schemes for a coupled nonlinear Schrödinger system in 3D
  J. Comput. Appl. Math., 317 (2017), 685-699
• Z. Si, J. Wang and W. Sun
  Unconditional stability and error estimates of modified characteristics FEMs for the Navier-Stokes equations
  Numer. Math., 134 (2016), 139-161
• J. Wang, Z. Si and W. Sun
  A new error analysis of characteristics-mixed FEMs for miscible displacement in porous media
  SIAM J. Numer. Anal., 52 (2014), 3000-3020
• J. Wang
  A new error analysis of Crank-Nicolson Galerkin FEMs for a generalized nonlinear Schrödinger equation
  J. Sci. Comput., 60 (2014), 390-407
• J. Wang and W. Sun
  Heat and sweat transport in fibrous media with radiation
  European J. Appl. Math., 25 (2014), 307-327
• B. Li, J. Wang and W. Sun
  The stability and convergence of fully discrete Galerkin-Galerkin FEMs for porous medium flows
  Commun. Comput. Phys., 15 (2014), 1141-1158

Last Updated: Jan 2019.