Kailiang Wu

Department of Mathematics, The Ohio State University

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


Education & Employment
  • 2016-present   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
  • Numerical solutions and analysis of PDEs
  • High-order numerical methods
  • Hyperbolic conservation laws
  • Computational fluid dynamics and astrophysics
  • Multivariate approximation theory
  • Data science and uncertainty quantification
Publications  

REFEREED PAPERS

19. K. WuPositivity-preserving analysis of numerical schemes for ideal magnetohydrodynamics 
        SIAM Journal on Numerical Analysis, accepted, May 2018.

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

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

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

15. 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

14K. WuDesign of provably physical-constraint-preserving methods for general relativistic hydrodynamics
            Physical Review D95, 103001, 2017. 

13. 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. 

12. K. 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. 

11. 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. 

10. K. Wu
 and 
H. Tang, Physical-constraint-preserving central discontinuous Galerkin methods for special relativistic hydrodynamics with a general equation of state
        Astrophysical Journal Supplement Series228(1):3(23pp), 2017. (2015 Impact Factor of ApJS: 11.257)

9. 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. 


8. 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. 

7. 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.

6. 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.

5. 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. 


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. 

PREPRINTS

3. K. Wu and D. Xiu, Numerical aspects for approximating governing equations using data
        submitted to Journal of Computational Physics, 2018.

2. K. Wu and D. Xiu, Approximating multivariate functions using feedforward neural network with two hidden layers
        submitted to Neural Networks, 2018

1. K. Wu and C.-W. Shu, Provably positive discontinuous Galerkin methods for multidimensional ideal magnetohydrodynamics
        submitted to SIAM Journal on Scientific Computing, 2018.


COLLABORATORS


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)
  • President Scholarship, PKU (2014, 2015, 2016)
  • National Scholarship for Graduate Students (2013)
Presentations
  • Numerical Analysis Seminar, Department of Mathematics, Purdue University, August 27, 2018. [Upcoming]
  • School of Mathematical Sciences, University of Science and Technology of China, Hefei, China, December 28, 2017. 
  • 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) 
  • Young Mathematician Forum 2017, Peking University, Beijing, China, December 15-16, 2017. (Invited) 
  • School of Mathematical Sciences, Peking University, Beijing, China, June 5, 2017. (Invited)
  • 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)
  • Mini-Symposium on Numerical Methods for Radiation Magnetohydrodynamics, Institute of Applied Physics and Computational Mathematics, Beijing, China, July 9-11, 2015. 
  • The First Beijing Computational Mathematics Graduate Student Forum, Peking University, Beijing, China, July 13, 2014. (Co-organizer)
  • Beijing Mini-Symposium on Computational Fluid Dynamics, Institute of Applied Physics and Computational Mathematics, Beijing, China, May 9, 2014. 
  • The First Computational Mathematics Graduate Student Forum of Peking University, Peking University, Beijing, China, Nov. 16, 2013. (Co-organizer)
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