Kailiang Wu

Postdoctoral Fellow at 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  Postdoctoral Fellow, Department of Mathematics, The Ohio State University.
  • 04/2016-08/2016 Postdoctoral Fellow, Scientific Computing and Imaging Institute, The 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
  • Multivariate approximation theory
  • Uncertainty quantification and data science
Publications

15. K. Wu and D. Xiu, Sequential Function Approximation on Arbitrarily Distributed Point Sets, submitted to Journal of Computational Physics.

14. Y. Shin, K. Wu and D. Xiu, Sequential Function Approximation Using Randomized Samples, submitted to SIAM Journal on Scientific Computing.

13. K. Wu and H. Tang, Admissible States and Physical Constraints Preserving Schemes for Relativistic Magnetohydrodynamic Equations, accepted by M3AS: Mathematical Models and Methods in Applied Sciences, 2017. (Sophisticated analysis first theoretically revealed the importance of divergence-free magnetic field in designing PCP methods for RMHD) [arXiv:1603.06660] 

12. K. Wu, Y. Shin and D. Xiu, A Randomized Tensor Quadrature Method for High Dimensional Polynomial Approximation, to appear in SIAM Journal on Scientific Computing, 2017. 

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.  [doi] [arXiv:1601.04121] [Free journal link]

10. K. Wu, Design of Provably Physical-Constraint-Preserving Methods for General Relativistic Hydrodynamics, Physical Review D, 95, 103001, 2017. [doi] [arXiv:1610.06274]

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, NMTMA, 10(2):373-419, 2017. [doi] [arXiv:1608.06700]

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. [arXiv:1607.08332] [doi] (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. [arXiv:1608.06721] [doi]

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. [arXiv:1601.00931] [doi]

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. [arXiv:1504.07707] [doi]

4. K. Wu, Z. Yang and H. Tang, A Third-Order Accurate Direct Eulerian GRP Scheme for One-Dimensional Relativistic Hydrodynamics, EAJAM, 4(2):95-131, 2014. [doi]

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. [doi]

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. [doi]

1. X.-Y. Liu, K. Wu, Y. Zhu, L. Kong and M. Wu, Mobility Increases the Surface Coverage of Distributed Sensor Networks, 
COMNET, 57(11):2348-2363, 2013. [doi]

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 Chinese Society for Computational Mathematics (2015) (awarded every two years to the young author(s) of the most outstanding paper(s) submitted to the paper prizes competition)
  • 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 (2014-2016)
  • Orient Golden Finger Scholarship (2012), Leo KoGuan Scholarship (2014), Guanghua Scholarship (2015) of PKU 
Conference Presentations
  • The 10th Chinese Computational Mathematics Annual Meeting, Guangzhou, China, September 19-21, 2015. (Presentation for Paper Award of the Chinese Society for Computational Mathematics)
  • The 8th International Congress on Industrial and Applied Mathematics (ICIAM), Beijing, China, August 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, November 16, 2013. (Co-organizer & Speaker)
Some Links