Employment

◆ 2026.06-present: Full Professor, Department of Mathematics, Southern University of Science and Technology

◆ 2021.01-2026.05: Associate Professor, Department of Mathematics, Southern University of Science and Technology

◆ 2022.03-2026.05: Associate Professor, SUSTech International Center for Mathematics, Southern University of Science and Technology

◆ 2022.09-2026.05: Associate Professor, National Center for Applied Mathematics Shenzhen

◆ 2016.08-2020.12: Postdoctoral Scholar, Department of Mathematics, The Ohio State University

◆ 2016.04-2016.08: Postdoctoral Fellow, Scientific Computing and Imaging Institute, University of Utah

Education

◆ 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

◆ Machine Learning and Data-driven Modeling

◆ Numerical Solutions of Partial Differential Equations

◆ Computational Fluid Dynamics and Astrophysics

◆ High-order Accurate Numerical Methods

◆ Hyperbolic Conservation Laws

◆ Approximation Theory and Uncertainty Quantification

Honors & Awards

◆ Guangdong Provincial Science and Technology Award — Youth Science and Technology Innovation Award, (2025)

◆ World's Top 2% Scientists List, 2024 single-year impact list,  (2025)

◆ SUSTech Young Professor Award, (2025)

◆ SUSTech President's Research Award, (2025)

◆ World's Top 2% Scientists List, 2024 single-year impact list,  (2024)

◆ Distinguished Young Scholar, Shenzhen Science and Technology Program, PI (2023)

◆ National Excellent Young Scholar (2020)

◆ Zhong Jiaqing Mathematics Award, the Chinese Mathematical Society (2019) One of the three major mathematics awards of the Chinese Mathematical Society (4 per 2 years)

◆ Outstanding Youth Paper Award (First Prize), the China Society for Computational Mathematics  (2015)

◆ First Prize of "Challenge Cup" May-4th Youth Science Award, PKU (2014)

◆ President Scholarship, PKU (2014–2016) (The biggest scholarship of PKU)

Selected Publications

◆ K. Wu

Positivity-preserving analysis of numerical schemes for ideal magnetohydrodynamics
SIAM Journal on Numerical Analysis,   56(4):2124--2147, 2018.

◆ K. Wu and C.-W. Shu
Geometric quasilinearization framework for analysis and design of bound-preserving schemes
SIAM Review,    (Research Spotlight)   65(4): 1031--1073, 2023.  

◆ J. Chen, K. Wu*, and D. Xiu

DUE: A deep learning framework and library for modeling unknown equations
SIAM Review,   67(4):873--902, 2025.

◆ M. Peng, Z. Sun, and K.Wu*

OEDG: Oscillation-eliminating discontinuous Galerkin method for hyperbolic conservation laws

Mathematics of Computation,   2025

◆ K. Wu, X. Zhang, and C.-W. Shu

High order numerical methods preserving invariant domain for hyperbolic and related systems
SIAM Review,    in press,  2026.

◆ S. Cui, S. Ding, and K. Wu*

On optimal cell average decomposition for high-order bound-preserving schemes of hyperbolic conservation laws

SIAM Journal on Numerical Analysis,   2024.  

◆ S. Cui, K. Wu*, and L. Xu
On local minimum entropy principle of high-order schemes for relativistic Euler equations
Mathematics of Computation,   2025.

◆ K. Wu 

Minimum principle on specific entropy and high-order accurate invariant region preserving numerical methods for relativistic hydrodynamics

SIAM Journal on Scientific Computing,   43(6): B1164--B1197, 2021.

◆ K. Wu

Design of provably physical-constraint-preserving methods for general relativistic hydrodynamics

Physical Review D,   95, 103001, 2017. 

◆ K. Wu* and C.-W. Shu

Provably positive high-order schemes for ideal magnetohydrodynamics: Analysis on general meshes

Numerische Mathematik,   142(4): 995--1047, 2019.

◆ 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.

◆ K. Wu and D. Xiu

Data-driven deep learning of partial differential equations in modal space

Journal of Computational Physics,   408: 109307, 2020.

◆ K. Wu*, H. Jiang, and C.-W. Shu
Provably positive central discontinuous Galerkin schemes via geometric quasilinearization for ideal MHD equations
SIAM Journal on Numerical Analysis,   61: 250--285, 2023.

◆  C. Cai, J. Qiu, and K. Wu*

Provably convergent and robust Newton-Raphson method: A new dawn in primitive variable recovery for relativistic MHD

SIAM Journal on Numerical Analysis,   2025.

◆ Z. Sun, Y. Wei, and K. Wu*

On energy laws and stability of Runge--Kutta methods for linear seminegative problems

SIAM Journal on Numerical Analysis,   60(5): 2448--2481, 2022.

◆ K. Wu* and C.-W. Shu

Provably physical-constraint-preserving discontinuous Galerkin methods for multidimensional relativistic MHD equations

Numerische Mathematik,   148: 699--741, 2021.

◆ R. Yan, R. Abgrall, and K. Wu*

Uniformly high-order bound-preserving OEDG schemes for two-phase flow

Math. Models Methods Appl. Sci. (M3AS),    2024. 

◆ K. Wu and C.-W. Shu

A provably positive discontinuous Galerkin method for multidimensional ideal magnetohydrodynamics

SIAM Journal on Scientific Computing,   40(5):B1302--B1329, 2018.

◆ K. Wu and C.-W. Shu

Entropy symmetrization and high-order accurate entropy stable numerical schemes for relativistic MHD equations

SIAM Journal on Scientific Computing,   42(4): A2230--A2261, 2020. 

◆ 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.

◆ 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,    43(1): A472--A510, 2021.

◆ K. Wu, T. Qin, and D. Xiu

Structure-preserving method for reconstructing unknown Hamiltonian systems from trajectory data

SIAM Journal on Scientific Computing,   42(6): A3704--A3729, 2020. 

◆ S. Ding and K.Wu*

A new discretely divergence-free positivity-preserving high-order finite volume method for ideal MHD equations

SIAM Journal on Scientific Computing,   accepted, 2023.

◆ S. Cui, A. Kurganov, and K. Wu*

Bound-preserving framework for central-upwind schemes for general hyperbolic conservation laws

SIAM Journal on Scientific Computing,  accepted, 2024.

◆ 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. 

◆ Z. Li and K. Wu*
Spectral volume from a DG perspective: oscillation elimination, stability, and optimal error estimates 
SIAM Journal on Scientific Computing,   2024. 

◆ M. Peng, K. Wu*, and C. Yuan

Oscillation-eliminating central DG schemes for hyperbolic conservation laws

SIAM Journal on Scientific Computing,  2025

◆ R. Abgrall, M. Jiao, Y. Liu, and K. Wu*

A novel and simple invariant-domain-preserving framework for PAMPA scheme: 1D case

SIAM Journal on Scientific Computing,   2025. 

◆  A. Chertock, A. Kurganov, M. Redle, and K. Wu
A new locally divergence-free path-conservative central-upwind scheme for ideal and shallow water magnetohydrodynamics
SIAM Journal on Scientific Computing,   accepted, 2024.

◆ 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.

◆ T. Qin, K. Wu, and D. Xiu

Data driven governing equations approximation using deep neural networks

Journal of Computational Physics,   395: 620--635, 2019.

◆ S. Cui, S. Ding, and K. Wu*
Is the classic convex decomposition optimal for bound-preserving schemes in multiple dimensions?
Journal of Computational Physics,   476: 111882,  2022.

◆  J. Chen and K. Wu*
Deep-OSG: Deep learning of operators in semigroup
Journal of Computational Physics,   accepted, 2023.

◆ 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)

◆  S. Ding and K. Wu*

GQL-based bound-preserving and locally divergence-free central discontinuous Galerkin schemes for relativistic magnetohydrodynamics

Journal of Computational Physics,   accepted, 2024.

◆ W. Chen, K. Wu, and T. Xiong
High order asymptotic preserving finite difference WENO schemes with constrained transport for MHD equations in all sonic Mach numbers
Journal of Computational Physics,    488: 112240, 2023.

◆ C. Cai, J. Qiu, and K.Wu*

Provably convergent Newton-Raphson methods for recovering primitive variables with applications to physical-constraint-preserving Hermite WENO schemes for relativistic hydrodynamics

Journal of Computational Physics,   accepted, 2023.

◆ C. Fan and K. Wu*

High-order oscillation-eliminating Hermite WENO method for hyperbolic conservation laws

Journal of Computational Physics,   accepted,  2024. 

◆ Z. Chen, V. Churchill, K. Wu, and D. Xiu

Deep neural network modeling of unknown partial differential equations in nodal space

Journal of Computational Physics,     449: 110782, 2022.

◆ Y. Chen and K. Wu*

A physical-constraint-preserving finite volume method for special relativistic hydrodynamics on unstructured meshes

Journal of Computational Physics,    466: 111398, 2022.

◆ H. Jiang, H. Tang, and K. Wu*

Positivity-preserving well-balanced central discontinuous Galerkin schemes for the Euler equations under gravitational fields

Journal of Computational Physics,     463: 111297, 2022.

◆ W. Chen, S. Cui, K. Wu, and T. Xiong

Bound-preserving OEDG method for Aw-Rascle-Zhang traffic models on networks

Journal of Computational Physics,   2024.

◆ Z. Chen, K. Wu, and D. Xiu

Methods to recover unknown processes in partial differential equations using data

Journal of Scientific Computing,   85:23, 2020. 

◆ K. Wu and D. Xiu

Numerical aspects for approximating governing equations using data

Journal of Computational Physics,   384: 200--221, 2019.

◆ Y. Shin, K. Wu, and D. Xiu

Sequential function approximation with noisy data

Journal of Computational Physics,   371:363--381, 2018.

◆ Y. Ren, K. Wu, J. Qiu, and Y. Xing 

On positivity-preserving well-balanced finite volume methods for the Euler equations with gravitation

Journal of Computational Physics,  accepted, 2023.

◆ K. Wu and D. Xiu

Sequential function approximation on arbitrarily distributed point sets

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

◆  J. Wang, H. Tang, K. Wu*

High-order accurate positivity-preserving and well-balanced discontinuous Galerkin schemes for ten-moment Gaussian closure equations with source terms

Journal of Computational Physics,  2024.

◆  H. Cao, M. Peng, and K. Wu*

Robust discontinuous Galerkin methods maintaining physical constraints for general relativistic hydrodynamics

Journal of Computational Physics,   2025.

◆  S. Ding, S. Cui, and K. Wu*

Robust DG schemes on unstructured triangular meshes: Oscillation elimination and bound preservation via optimal convex decomposition

Journal of Computational Physics,   2025.

◆  Z. Zhang, H. Tang, and K. Wu*

High-order accurate structure-preserving finite volume schemes on adaptive moving meshes for shallow water equations: Well balancedness and positivity

Journal of Computational Physics,   2025.

◆  M. Liu and K. Wu*

Structure-preserving oscillation-eliminating discontinuous Galerkin schemes for ideal MHD equations: Locally divergence-free and positivity-preserving

Journal of Computational Physics,   2025.

◆ 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. 

◆ K. Wu and H. Tang

Finite volume local evolution Galerkin method for two-dimensional relativistic hydrodynamics

Journal of Computational Physics,   256:277--307, 2014. 

◆ 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. 

◆ S. Cui, Y. Gu, A. Kurganov, K. Wu, and R. Xin

Positivity-preserving new low-dssipation central-upwind schemes for compressible Euler equations

Journal of Computational Physics,  2025.

◆ S. Ding, K. Wu*, and C. Yuan

Divergence-free finite volume WENO scheme for relativistic magnetohydrodynamics preserving positivity and subluminal velocity

Monthly Notices of the Royal Astronomical Society (MNRAS),   2025. 

◆ J. Chen and K. Wu*

Positional knowledge is all you need: Position-induced Transformer (PiT) for operator learning
International Conference on Machine Learning (ICML),   2024.

Professional Services

◆ Editorial Board of Journal on Numerical Methods and Computer Applications

◆ Editorial Board of Frontiers in Applied Mathematics and Statistics (Numerical Analysis and Scientific Computation Section)

◆ Reviewer for AMS Mathematical Reviews

◆ Referee for scientific journals and machine learning conferences including

• Annals of Applied Mathematics
• Acta Applicandae Mathematicae
• Advances in Water Resources
• Applied Mathematics and Computation
• Applied Numerical Mathematics
• Chinese Journal of Computational Physics
• Chinese Journal of Theoretical and Applied Mechanics
• Communications on Applied Mathematics and Computation
• Communications in Computational Physics
• Communications in Nonlinear Science and Numerical Simulation
• Computer Methods in Applied Mechanics and Engineering
• Computer Physics Communications
• East Asian Journal on Applied Mathematics
• Electronic Research Archive
• Engineering Optimization
• Frontiers in Applied Mathematics and Statistics
• Journal of Computational and Applied Mathematics
• Journal of Computational Physics   ( 90+ times )
• Journal of Scientific Computing
• Journal of Mathematical Biology
• Journal of Numerical Mathematics
• Journal of Applied Mathematics and Computing
• Mathematical Models and Methods in Applied Sciences (M3AS)
• Mathematica Numerica Sinica
• Mathematics of Computation (Math Comp)
• Mathematics and Computers in Simulation 
• Numerical Methods for Partial Differential Equations
• Neurocomputing
• Neural Networks
• Physics of Fluids
• SIAM Journal on Scientific Computing
• SIAM/ASA Journal on Uncertainty Quantification
• Theoretical and Applied Mechanics Letters
• International Conference on Machine Learning (ICML)