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)
Address: Block 3 Room 525, Hui Yuan (Wisdom Valley), 1088 Xueyuan Avenue, Xili, Nanshan District, Shenzhen, Guangdong 518055, P.R. China
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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
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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
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Publications |
REFEREED PAPERS
SIAM Journal on Scientific Computing, 42(6): A3704--A3729, 2020. arXiv: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 Computing, accepted for publication, 2020. arXiv:2005.07166.
Journal of Computational Physics, 408: 109307, 2020. arXiv:1910.06948 (15 Oct 2019).
SIAM Journal on Scientific Computing, 42(4): A2230--A2261, 2020. arXiv:1907.07467 (17 July 2019).
Journal of Scientific Computing, 85:23, 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, 2020. arXiv: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.
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
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Awards
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- 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 (2014–2016) (The biggest scholarship of PKU)
- National Scholarship for Doctoral Students, Ministry of Education of China (2013)
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Professional Services |
- Referee for scientific journals including
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Some Links |
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