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, The Ohio State University
  • 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 Interests
  • Numerical solutions and analysis of PDEs
  • High-order numerical methods
  • Computational physics
  • Hyperbolic conservation laws
  • Multivariate approximation theory
  • Data science and uncertainty quantification
Selected Publications  

15. K. Wu, Positivity-preserving analysis of numerical schemes for ideal magnetohydrodynamicssubmitted.

14. Y. Shin, K. Wu and D. Xiu, Sequential function approximation with noisy data, submitted to JCP.

13. K. Wu and H. Tang, On physical-constraints-preserving schemes for special relativistic magnetohydrodynamics with a general equation of state, submitted to ZAMP.

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

11. K. Wu, Y. Shin and D. Xiu, A randomized tensor quadrature method for high dimensional polynomial approximation
        SIAM Journal on Scientific Computing39(5):A1811-A1833, 2017

10. K. Wu, Design of provably physical-constraint-preserving methods for general relativistic hydrodynamics
  Physical Review D95, 103001, 2017. 

9. 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. 

8K. Wu and H. Tang, Admissible states and physical-constraints-preserving schemes for relativistic magnetohydrodynamic equations   
        Mathematical Models and Methods in Applied Sciences (
M3AS)27(10):1871-1928, 2017 PDF   arXiv 

7. 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 Applications10(2):373-419, 2017. 

6. 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 Series228(1):3(23pp), 2017. (2015 Impact Factor of ApJS 11.257)

5. 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. 


4. 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. 

3. 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.


2. 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. 


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


Links to co-authors Prof. Huazhong Tang   Prof. Dongbin Xiu 
Ms. Yangyu Kuang  Mr. Yeonjong Shin  Dr. Zhicheng Yang 
Awards
  • Outstanding Ph.D. Graduates Award, PKU (2016)
  • Outstanding Youth Paper Award (First Prize), the China Society for Computational Mathematics (2015) 
  • Merit Student of PKU (2014, 2015)
  • First-Class Prize in “Challenge Cup” May-4th Youth Science Competition, PKU (2014)
  • National Scholarship for Graduate Students (2013), President Scholarship, PKU (2014, 2015, 2016)
Presentations
  • Young Researchers Workshop: New Trends in Computational and Applied Mathematics, Beijing International Center for Mathematical Research, Peking University, Beijing, China, December 18-20, 2017. (Invited Speaker) 
  • Young Mathematician Forum 2017, Peking University, Beijing, China, December 15-16, 2017. (Invited Speaker) 
  • 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