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Xiao Wen

温 晓

Ph.D. Candidate in Numerical Solution of Partial Differential Equation

Adviser: Prof. Xianqing Lv, Wai Sun Don, Zhen Gao, Yulong Xing

Email: xiaowen_ouc@163.com

Web: www.amsc-ouc.ac.cn

Address: No.238 Songling Road, Laoshan District, Qingdao, Shandong, China


  1. Ocean University of China
    Ph.D., Physical Oceanography, High-Resolution Numerical Algorithm for Hyperbolic Conservation Laws, Sept. 2014 – now
  2. Ohio State University
    Joint Ph.D. Student, Numerical Mathematics, High-Resolution Numerical Algorithm for Hyperbolic Conservation Laws, Oct. 2017 – Oct. 2018
  3. Ocean University of China
    B.Sc., Numerical Mathematics, Sept. 2010 – Jun. 2014


  1. Positivity-preserving Well-balanced Discontinuous Galerkin method
  2. Entropy stable Discontinuous Galerkin method
  3. Hybrid Compact-WENO Finite Difference Scheme
  4. Application of Artificial Neural Network in the Numerical Solution of Differential Equations


  1. X. Wen, Y. Xing, Entropy Stable Discontinuous Galerkin Method for Shallow Water Equations, Completed.
  2. X. Wen, W.S. Don, Z. Gao, J. S. Hesthaven, An edge detector based on artificial neural network with application to hybrid Compact-WENO finite difference scheme, Journal of Scientific Computing, under review
  3. Zhen Gao, Qi Liu, Jan S. Hesthaven, Bao-Shan Wang, Wai Sun Don, Xiao Wen, Non-intrusive reduced order modeling of convection dominated flows using artificial neural networks with application to Rayleigh-Taylor instability, Journal of Scientific Computing, Under Review.
  4. B.S. Wang, Z. Gao, Y.H. Wang, X. Wen, W.S. Don, Hybrid compact-WENO finite difference scheme with radial basis function based shock detection method for hyperbolic conservation laws, SIAM Journal on Scientific Computing, (2018), 40(6): A3699-A3714.
  5. Z. Gao, X.Wen, W. S. Don, Enhanced Robustness of the Hybrid Compact-WENO Finite Difference Scheme for Hyperbolic Conservation Laws with Multi-resolution Analysis and Tukey’s Boxplot Method, Journal of Scientific Computing, (2017) 73(2-3): 736-752.
  6. X.Wen, Z. Gao, W.S. Don, Y. Xing, P. Li, Application of positivity-preserving well-balanced discontinuous Galerkin method in computational hydrology, Computers and Fluids, v139 (2016): 112-119
  7. W.S. Don, Z. Gao, P. Li, X.Wen, Hybrid Compact-WENO Finite Difference Scheme with Conjugate Fourier Shock Detection Algorithm for Hyperbolic Conservation Laws, SIAM Journal on Scientific Computing, v38.2 (2016): A691-A711.


  1. Participator, Aug. 20th--Aug.24th, 2018
    Advances in PDEs: Theory, Computation and Application to CFD, Providence, Rhode Island, United States.
  2. Participator, Aug. 12th--Aug.15th, 2017
    The 18th National Symposium on Numerical Methods in Fluids, Huaihua, Hunan, China.
  3. Academic reporter, Jun. 28th--Jul. 2017
    The International Workshop on Computational Mathematics and Scientific Computing (IWCMSC) 2017, Qingdao, China.
  4. Academic reporter, Dec. 26th--Dec. 27th 2015
    2015年全国保结构算法及其应用会议, Nanjing, China.
  5. Participator, 2014,2015 and 2017
    The Summer Workshop in Advanced in Applied Mathematics and Scientific Computing at the School of Mathematical Sciences of Ocean University of China.

  6. Member, China Society for Industrial and Applied Mathematics.


  1. Academic Scholarship, first prize (2015, 2017), second prize(2014, 2016).
  2. Presidential Scholarship for doctoral candidates (2016).
  3. Excellent student leaders in Shandong Province (2016).
  4. Outstanding graduates in Shandong Province (2014).


  1. Student Helper, June 28th--July 2nd 2017,
    The International Workshop on Computational Mathematics and Scientific Computing, 2017