王元明
教授,计算数学
华东师范大学数学系
上海市闵行区东川路500号, 200241
电话:021-54342646-215(办公室)
电子邮件:ymwang@math.ecnu.edu.cn
  教育工作经历
  • 教授, 12/2003-,
    华东师范大学数学系
  • 高级访问学者, 10/2001-11/2002,
    巴黎综合理工大学应用数学中心
  • 副教授, 8/1998-11/2003,
    华东师范大学数学系
  科研兴趣(研究方向)
  • 微分方程数值解法
  • 分数阶微分方程数值解法
  • 主要研究方向:高阶紧有限差分方法的构造与分析
  科研项目(2010年后)
  • 退化拟线性抛物型方程和椭圆型方程的数值分析, 上海市教委 E-研究院, E03004,01/2012-12/2015
  • 拟线性边值问题的高精度紧有限差分方法,上海市自然科学基金,10ZR1409300,04/2010-03/2012
  学术论文(2010年后)
  • Y.-M. Wang, T. Wang, Error analysis of a high-order compact ADI method for two-dimensional fractional convection-subdiffusion equations, Calcolo, DOI 10.1007/s10092-015-0150-3.
  • T. Wang, Y.-M. Wang, A modified compact ADI method and its extrapolation for two-dimensional fractional subdiffusion equations, Journal of Applied Mathematics and Computing, DOI 10.1007/s12190-015-0949-8.
  • T. Wang, Y.-M. Wang, A compact LOD method and its extrapolation for two-dimensional modified anomalous fractional sub-diffusion equations, Computers and Mathematics with Applications, 71 (2016), 147-170.
  • C.V. Pao, Y.-M. Wang, Numerical methods for fourth-order elliptic equations with nonlocal boundary conditions, Journal of Computational and Applied Mathematics, 292 (2016), 447-468.
  • Y.-M. Wang, Fourth-order compact finite difference methods and monotone iterative algorithms for quasi-linear elliptic boundary value problems, SIAM Journal of Numerical Analysis, 53 (2015), 1032-1057.
  • Y.-M. Wang, A compact finite difference method for solving a class of time fractional convection-subdiffusion equations, BIT Numerical Mathematics, 55 (2015), 1187-1217.
  • Y.-M. Wang, A compact finite difference method for a class of time fractional convection-diffusion-wave equations with variable coefficients, Numerical Algorithm, 70 (2015), 625-651.
  • Y.-M. Wang, T. Wang, A compact locally one-dimensional method for fractional diffusion-wave equations, Journal of Applied Mathematics and Computing, 49 (2015),41-67.
  • Y.-M. Wang, B.-Y. Guo, W.-J. Wu, Fourth-order compact finite difference methods and monotone iterative algorithms for semilinear elliptic boundary value problems, Computers and Mathematics with Applications, 68 (2014), 1671-1688.
  • T. Wang, Y.-M. Wang, A higher-order compact LOD method and its extrapolations for nonhomogeneous parabolic differential equations, Applied Mathematics and Computation, 237 (2014), 512-530.
  • Y.-M. Wang, Maximum norm error estimates of ADI methods for a two-dimensional fractional subdiffusion equation, Advances in Mathematical Physics, Volume 2013, Article ID 293706, 10 pages.
  • Y.-M. Wang, W.-J. Wu, M. Scalia, Numerov's method for a class of nonlinear multipoint boundary value problems, Mathematical Problems in Engineering, Volume 2012, Article ID 316852, 29 pages.
  • Y.-M. Wang, J. Wang, A higher-order compact ADI method with monotone iterative procedure for systems of reaction–diffusion equations, Computers and Mathematics with Applications, 62 (2011), 2434-2451.
  • Y.-M. Wang, W.-J. Wu, Ravi P. Agarwal, A fourth-order compact finite difference method for nonlinear higher-order multi-point boundary value problems, Computers and Mathematics with Applications, 61 (2011), 3226-3245.
  • Y.-M. Wang, A modified accelerated monotone iterative method for finite difference reaction–diffusion–convection equations, Journal of Computational and Applied Mathematics, 235 (2011), 3646-3660.
  • Y.-M. Wang, C.-X. Liang, Ravi P. Agarwal, A block monotone iterative method for numerical solutions of nonlinear elliptic boundary value problems, Numerical Methods for Partial Differential Equations, 27 (2011), 680-701.
  • Y.-M. Wang, On Numerov's method for a class of strongly nonlinear two-point boundary value problems, Applied Numerical Mathematics, 61 (2011), 38-52.
  • Y.-M. Wang, Global asymptotic stability of Lotka–Volterra competition reaction–diffusion systems with time delays, Mathematical and Computer Modelling, 53 (2011), 337-346.
  • Y.-M. Wang, Error and extrapolation of a compact LOD method for parabolic differential equations, Journal of Computational and Applied Mathematics, 235 (2011), 1367-1382.
  • C.V. Pao, Y.-M. Wang, Nonlinear fourth-order elliptic equations with nonlocal boundary conditions, Journal of Mathematical Analysis and Applications, 372 (2010), 351-365.
  • Y.-M. Wang, The iterative solutions of 2nth-order nonlinear multi-point boundary value problems, Applied Mathematics and Computation, 217 (2010), 2251-2259.
  • Y.-M. Wang, On 2nth-order nonlinear multi-point boundary value problems, Mathematical and Computer Modelling, 51 (2010), 1251-1259.
  • Y.-M. Wang, Y. Gong, Numerical solutions of a nonlinear reaction-diffusion system, International Journal of Computer Mathematics, 87 (2010), 1975-2002.
  学术团体兼职
  • 特聘研究员,1/2003-12/2015,
    上海高校计算科学 E-研究院
  教学活动
  • 微分方程数值解法(2015-2016学年第二学期)
  • 数值分析(2014-2015学年第二学期)
  • 数值分析(2013-2014学年第二学期)
  • 微分方程数值解法(2013-2014学年第一学期)
  • 数值分析(2012-2013学年第二学期)
最后更新:2016年3月,王元明