Kailiang Wu

Department of Mathematics, The Ohio State University

E-mail: wu.3423 [AT] osu [DOT] edu     Curriculum Vitae
Address: Math Building 342, 231 W. 18th Ave. Columbus, OH 43210, USA


Education & Employment
  • 08/2016-present  Postdoc, Department of Mathematics, Ohio State University.
  • 04/2016-08/2016 Postdoc, Scientific Computing and Imaging Institute, University of Utah. 
  • 09/2011-06/2016 Ph.D. School of Mathematical Sciences, Peking University. 
  • 09/2007-06/2011 B.Sc. School of Mathematics and Statistics, Huazhong University of Science and Technology.
Research
  • Mathematical properties and numerical solutions of PDEs
  • Hyperbolic conservation laws
  • Relativistic hydrodynamics and computational astrophysics
  • High-order numerical methods
  • High-dimensional approximation theory
  • Uncertainty quantification and data science
Publications

15. K. Wu and D. Xiu, Sequential function approximation on arbitrarily distributed point sets
        Journal of Computational Physics, submitted, 2017.

14. Y. Shin, K. Wu and D. Xiu, Sequential function approximation using randomized samples
        SIAM Journal on Scientific Computing, submitted, 2017.

13. K. Wu, Y. Shin and D. Xiu, A randomized tensor quadrature method for high dimensional polynomial approximation
        SIAM Journal on Scientific Computing, in press, 2017. 

12. K. Wu and H. Tang, Admissible states and physical-constraints-preserving schemes for relativistic magnetohydrodynamic equations   
        M3AS: Mathematical Models and Methods in Applied Sciences, 27(10):1871-1928, 2017. arXiv:1603.06660
        Sophisticated analysis in [12] first theoretically revealed the importance of divergence-free magnetic field in designing PCP methods for RMHD 

11. 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. 

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

9. Y. Kuang, K. Wu and H. Tang, Runge-Kutta discontinuous local evolution Galerkin methods for the shallow water equations on the cubed-sphere grid
        Numerical Mathematics: Theory, Methods and Applications, 10(2):373-419, 2017. 

8. K. Wu and H. Tang, Physical-constraint-preserving central discontinuous Galerkin methods for special relativistic hydrodynamics with a general equation of state
        The Astrophysical Journal Supplement Series, 228(1):3(23pp), 2017. (2015 Impact Factor of ApJS 11.257)

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 (English Edition), 37(11):1441-1466, 2016. 

6. 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. 

5. 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.

4. K. Wu, Z. Yang and H. Tang, A third-order accurate direct Eulerian GRP scheme for one-dimensional relativistic hydrodynamics
        East Asian Journal on Applied Mathematics, 4(2):95-131, 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. 

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

1. X.-Y. Liu, K. Wu, Y. Zhu, L. Kong and M. Wu, Mobility increases the surface coverage of distributed sensor networks
        Computer Networks, 57(11):2348-2363, 2013. 

Links to co-authors:  Prof. Huazhong Tang   Prof. Dongbin Xiu 
Ms. Yangyu Kuang  Dr. Xiao-Yang Liu  Mr. Yeonjong Shin  Dr. Zhicheng Yang 
Awards
  • Outstanding Ph.D. Graduates Award of PKU (2016)
  • Outstanding Youth Paper Award (First Prize) of the China Society for Computational Mathematics (2015) 
  • Merit Student of PKU (2014, 2015)
  • First-Class Prize in “Challenge Cup” May-4th Youth Science Competition of PKU (2014)
  • National Scholarship for Graduate Students (2013), President Scholarship (2014, 2015, 2016)
Presentations
  • Peking University, Beijing, China, June 5, 2017. (Invited Talk)
  • The 10th Chinese Computational Mathematics Annual Meeting, Guangzhou, China, Sep. 19-21, 2015. (Presentation for paper award of China Society for Computational Mathematics)
  • The 8th International Congress on Industrial and Applied Mathematics (ICIAM), Beijing, China, Aug. 10-14, 2015. (Poster)
  • The Second Computational Mathematics Graduate Student Forum of Peking University, Peking University, Beijing, China, July 11-12, 2015. (Co-organizer & Speaker)
  • Mini-Symposium on Numerical Methods for Radiation Magnetohydrodynamics, Institute of Applied Physics and Computational Mathematics, Beijing, China, July 9-11, 2015. (Speaker)
  • The First Beijing Computational Mathematics Graduate Student Forum, Peking University, Beijing, China, July 13, 2014. (Co-organizer & Speaker)
  • Beijing Mini-Symposium on Computational Fluid Dynamics, Institute of Applied Physics and Computational Mathematics, Beijing, China, May 9, 2014. (Speaker)
  • The First Computational Mathematics Graduate Student Forum of Peking University, Peking University, Beijing, China, Nov. 16, 2013. (Co-organizer & Speaker)
Some Links