Kailiang Wu

Associate Professor of Mathematics, Southern University of Science and Technology

E-mail:  WUKL [AT] sustech [DOT] edu [DOT] cn       (I moved to SUSTech, and my OSU email may expire soon) 

AddressBlock 3 Room 525, Hui Yuan (Wisdom Valley), 1088 Xueyuan Avenue, Xili, Nanshan District, Shenzhen, Guangdong 518055, P.R. China


Education & Employment
  • 2021-present   Associate Professor  Department of Mathematics, Southern University of Science and Technology
  • 2016-2020       PostDoc  Department of Mathematics, The Ohio State University
  • 2011-2016       Ph.D.  School of Mathematical Sciences, Peking University
  • 2007-2011       B.Sc.  School of Mathematics and Statistics, Huazhong University of Science and Technology
Research Interests
  • Scientific Machine Learning and Data-driven Modeling
  • Numerical Solutions of Partial Differential Equations
  • Hyperbolic Conservation Laws
  • Computational Fluid Dynamics
  • High-order Accurate Numerical Methods
  • Structure-preserving Methods: Design and Analysis
  • Approximation Theory and Uncertainty Quantification
Publications 

REFEREED PAPERS

        SIAM Journal on Scientific Computing42(6): A3704--A3729, 2020arXiv:1905.10396.

29. K. Wu and Y. Xing,  Uniformly high-order structure-preserving discontinuous Galerkin methods for Euler equations with gravitation: Positivity and well-balancedness 
        SIAM Journal on Scientific Computingaccepted for publication, 2020arXiv:2005.07166.

       Journal of Computational Physics,  408: 109307, 2020arXiv:1910.06948 (15 Oct 2019).

       SIAM Journal on Scientific Computing, 42(4): A2230--A2261, 2020. arXiv:1907.07467 (17 July 2019)

       Journal of Scientific Computing85:23, 2020. arXiv:2003.02387.

25. K. Wu, D. Xiu, and X. Zhong,  A WENO-based stochastic Galerkin scheme for ideal MHD equations with random inputs 
       Communications in Computational Physics, accepted for publication, 2020.

        Commun. Appl. Math. Comput.in press, 2020arXiv:2002.04658.

        Numerische Mathematik,  142(4): 995--1047, 2019.

        Journal of Computational Physics,  395: 620--635, 2019.

        Journal of Computational Physics,  384: 200--221, 2019.

        Commun. Appl. Math. Comput.,  1: 449--466, 2019.

        SIAM Journal on Scientific Computing,  40(5):B1302--B1329, 2018.

18. Y. Shin, K. Wu, and D. Xiu,  Sequential function approximation with noisy data
        Journal of Computational Physics,  371:363--381, 2018.

        SIAM Journal on Numerical Analysis,  56(4):2124--2147, 2018.

        Journal of Computational Physics,  354:370--386, 2018.

        Z. Angew. Math. Phys.,  69:84(24pages), 2018.

14. K. Wu, Y. Shin, and D. Xiu,  A randomized tensor quadrature method for high dimensional polynomial approximation
    
    SIAM Journal on Scientific Computing,  
39(5):A1811--A1833, 2017

13
K. Wu,  Design of provably physical-constraint-preserving methods for general relativistic hydrodynamics
             Physical Review D,  95, 103001, 2017

12. K. Wu, H. Tang, and D. Xiu,  A stochastic Galerkin method for first-order quasilinear hyperbolic systems with uncertainty
        Journal of Computational Physics,  
345:224--244, 2017

11. K. Wu and H. Tang,  Admissible states and physical-constraints-preserving schemes for relativistic magnetohydrodynamic equations   
        Math. Models Methods Appl. Sci. (
M3AS),  27(10):1871--1928, 2017. 

10. Y. Kuang, K. Wu, and H. Tang,  Runge-Kutta discontinuous local evolution Galerkin methods for the shallow water equations on the cubed-sphere grid
        Numer. Math. Theor. Meth. Appl.,  10(2):373--419, 2017. 

9. K. Wu
 and 
H. Tang,  Physical-constraint-preserving central discontinuous Galerkin methods for special relativistic hydrodynamics with a general equation of state
        Astrophys. J. Suppl. Ser. (ApJS),  228(1):3(23pages), 2017. (2015 Impact Factor of ApJS: 11.257)

8. K. Wu and H. Tang,  A direct Eulerian GRP scheme for spherically symmetric general relativistic hydrodynamics
        SIAM Journal on Scientific Computing,  38(3):B458--B489, 2016


7. K. Wu
 and H. Tang,  
A Newton multigrid method for steady-state shallow water equations with topography and dry areas
        Applied Mathematics and Mechanics
 37(11):1441--1466, 2016. 

6. K. Wu and H. Tang,  High-order accurate physical-constraints-preserving finite difference WENO schemes for special relativistic hydrodynamics
        Journal of Computational Physics,  298:539--564, 2015.

5. K. Wu, Z. Yang, and H. Tang,  
A third-order accurate direct Eulerian GRP scheme for one-dimensional relativistic hydrodynamics
        
 East Asian J. Appl. Math.,  4(2):95--131, 2014.

4. K. Wu
 and H. Tang,  
Finite volume local evolution Galerkin method for two-dimensional relativistic hydrodynamics
        
Journal of Computational Physics,  256:277--307, 2014

3. K. Wu, Z. Yang, and H. Tang,  A third-order accurate direct Eulerian GRP scheme for the Euler equations in gas dynamics
        Journal of Computational Physics,  264:177--208, 2014

PREPRINTS

2. K. Wu and C.-W. Shu,  Provably physical-constraint-preserving discontinuous Galerkin methods for multidimensional relativistic MHD equations 
    submitted, arXiv:2002.03371, 2020.

1. K. Wu and D. Xiu,  An explicit neural network construction for piecewise constant function approximation, arXiv preprint arXiv:1808.07390.


COLLABORATORS

Zhen Chen   Jun Hou   Dr. Yangyu Kuang    Dr. Tong Qin    Dr. Yeonjong Shin 
Prof. Chi-Wang Shu   Prof. Huazhong Tang   Prof. Yulong Xing    Prof. Dongbin Xiu    Dr. Zhicheng Yang

Awards
  • Zhong Jiaqing Mathematics Award, the Chinese Mathematical Society  (中国数学会钟家庆数学奖)  (2019)   One of the three major mathematics awards of the Chinese Mathematical Society (4 per 2 years)
  • Outstanding Ph.D. Graduates Award, PKU (2016)
  • Outstanding Youth Paper Award (First Prize), the China Society for Computational Mathematics  (中国计算数学学会优秀青年论文奖一等奖)  (2015)
  • Merit Student of PKU (2014, 2015)
  • First Prize in “Challenge Cup” May-4th Youth Science Competition, PKU (2014)
  • President Scholarship, PKU (20142016)  (The biggest scholarship of PKU)
  • National Scholarship for Doctoral Students, Ministry of Education of China (2013)
Professional Services
  • Referee for scientific journals including
Some Links