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吴开亮

教授  

https://faculty.sustech.edu.cn/wukl

  • 简历
  • 科研
  • 教学
  • 发表论著

吴开亮，安徽安庆人，南方科技大学数学系/深圳国际数学中心 长聘教授，博士生导师。

在教学方面，主讲面向AI时代的《数学实验》《计算流体力学与深度学习》等课程，自 2021 年起探索人机协作的教学理念。在科研方面，致力于偏微分方程数值解、计算流体力学与计算物理、机器学习与数据驱动建模等研究。与合作者在保持非线性物理约束的数学理论与“升维换取线性”几何拟线性化（GQL）框架 （SIAM Review亮点论文）、深度学习与未知方程智能推演方法及DUE（Deep Unknown Equations）软件包研发、可压磁流体及相对论流体的保结构机理与高阶算法、高效高阶保界的最优凸分解理论、数值伪振荡机理与抑振机制（OEDG，COS等）及相关软件包研发等方面做出了系统性工作。相关研究发表在应用与计算数学期刊（SIAM Review，SINUM，SISC，Math Comp，Numer Math，M3AS，JCP）、Nature子刊（自然-通讯）、天文物理期刊（MNRAS，ApJS，PRD）、机器学习会议与期刊（ICML，IEEE Trans AI）上。


迄今已发表或录用论文 78 篇，其中 51 篇发表于 SIAM 系列期刊或 Journal of Computational Physics，含 SIAM Review 3 篇。相关成果被数学、物理、天文、力学与工程等领域学者引用（他引中包含约 80 位院士或国际会士），其中 3 篇论文曾入选 ESI Hot Paper（Top 0.1%）及 ESI 高被引论文（Top 1%）。研究工作获得国家高层次青年人才计划、科学挑战计划、国家自然科学基金重大研究计划培育项目和面上项目、深圳市杰出青年项目等资助。曾获中国数学会“钟家庆数学奖”（2019）、广东省科学技术奖—青年科技创新奖，以及南方科技大学“校长青年科研奖”“青年教授奖”“最受 2023 届数学系本科毕业生喜爱的老师”等，连续入选 2024和2025年度全球前 2% 顶尖科学家榜单。


研究领域

偏微分方程数值解、机器学习与数据科学、计算流体力学、计算物理、高维逼近论与不确定性量化


吴开亮团队招生/招聘信息

本团队目前有研究助理教授/研究副教授 2 名、博士后 6 名、博士/硕士研究生 11 名。组内氛围开放、合作，欢迎对科研有强烈兴趣、具有强专注力的同学和青年学者加入。

◆ 博士后年薪约 34–50W，提供租房补贴（约3.36W/年）；博士后出站留深圳工作，签订三年合同者可按政策获得生活补贴（目前政策为36W），并有机会申请深圳市人才项目。学校为研究生提供具有竞争力的奖助学金待遇：博士生年资助约 8–12 万元；硕士生年资助约 4–5 万元；具体标准以学校及相关政策为准。

◆ 已指导博士/硕士研究生 12 名、本科生 70 余名。团队学生在读期间曾获得国家自然科学基金博士生项目资助、中国工业与应用数学学会（CSIAM）学生论坛优秀报告奖（2024 年，全国6人）、全国有限元博士论坛“卓越论文奖”（2025 年，全国3人）、“大湾区杯” AI for Science 科技竞赛二等奖等，并在 Math. Comp.（2人）、SINUM（本科生魏元哲）、SISC、JCP等重要期刊发表研究成果。

◆ 已指导 RAP/博士后 11 名，来自北京大学、清华大学、中国科学院大学、中国科学技术大学、武汉大学、厦门大学、湘潭大学、中国海洋大学、香港中文大学（深圳）、澳门大学、法国巴黎文理研究大学等国内外高校。他们在本团队工作期间获批：主持国自然-面上、主持国自然-青年、主持广东省面上、主持深圳市面上、国家博士后基金面上项目（3人获批），国家博士后特别资助项目，入选国家海外引才专项、国家资助博士后研究人员计划、 广东省海外博士后人才支持项目、校长卓越博士后（2人）等。博士后在站期间在SIAM Review、Math. Comp.、SINUM、Nature子刊、SISC、M3AS、JCP、MNRAS、ICML等发表多篇论文。已出站博士后中，有人赴香港科技大学、华中科技大学、华南师范大学担任 Tenure-Track 助理教授，也有在中山大学、南京航空航天大学等高校任职副教授，具备良好的学术发展前景。

有意者请将材料发送至 WUKL@sustech.edu.cn



代表性论文 


◆ 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.


◆ 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.


◆ M. Peng, Z. Sun, and K.Wu*

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

Mathematics of Computation,   2025.


◆ 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,    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,    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,   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,   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,   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,   2023.


◆ C. Fan and K. Wu*

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

Journal of Computational Physics,   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,  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
MNRAS（英国皇家天文学会月报）,   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.



学术服务

◆ 期刊编委 Journal on Numerical Methods and Computer Applications (数值计算与计算机应用)

◆ 期刊编委 Frontiers in Applied Mathematics and Statistics (Numerical Analysis and Scientific Computation Section)

◆ 美国《数学评论》评论员

◆ 下列学术期刊和机器学习会议审稿人

  • 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   ( 80+ 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)




Teaching（授课课程）

Fall Semester：Mathematical Experiments 数学实验（本科生）

Spring Semester：Computational Fluid Dynamics and Deep Learning 计算流体力学与深度学习（本研）

2021 Spring Semester：Calculus II 高等数学II（本科生）

2022 Spring Semester：Advanced Topics in Modern Computational Mathematics （本科生）


Group Members ("智算天流"远征队)

Intelligent Computing–Astrophysics Nexus (ICAN)

Where Math Meets AI, Fluid Dynamics, and Astrophysics

Exploring Nature through Intelligent Computation......


PI：Kailiang Wu

  • Research Assistant/Associate Professor

  ◆  Dr. Shumo Cui (2023.02.01-2025.12):  Ph.D. from Tulane University;  Postdoc at Temple University. 

Next Position: Associate Professor at Sun Yat-sen University (Shenzhen). 

  ◆  Dr. Shengrong Ding (2023.12.29-2025.6):  Ph.D. from USTC;  Postdoc at SUSTech. 

Next Position: Associate Professor at Sun Yat-sen University (Shenzhen). 

  ◆  Dr. Huihui Cao (2025.7-present):  Ph.D. from Xiangtan University;  Postdoc at SUSTech. 

  • Postdoctoral Fellows

  ◆  Dr. Shengrong Ding (2021.11-2023.12):  Ph.D. from University of Science and Technology of China.  

First job after postdoc: Research Assistant Professor at SUSTech. 

Current: Associate Professor at Sun Yat-sen University (Shenzhen). 

  ◆  Dr. Junfeng Chen ( 2022.10-2025.7 ):  B.Sc. from Tsinghua University, Ph.D. from Paris Sciences et Lettres – PSL Research University. 

First job after postdoc: Assistant Professor (tenure-track) at Hong Kong University of Science and Technolog (HKUST). 

  ◆  Dr. Huihui Cao (2023.7-2025.6):  Ph.D. from Xiangtan University.

First job after postdoc: Research Assistant Professor at SUSTech. 

  ◆  Dr. Ruifang Yan (2023.7-2026.1):  Ph.D. from Wuhan University.

First job after postdoc: Assistant Professor (tenure-track) at Huazhong University of Science and Technology (HUST). 

  ◆  Dr. Chuan Fan (2023.9-2025.9):  Ph.D. from Xiamen University.

First job after postdoc: Associate Professor at NUAA. 

  ◆  Dr. Mengqing Liu (2023.9-2026.3):  Ph.D. from University of Chinese Academy of Sciences.

First job after postdoc: Assistant Professor at SCNU. 

  ◆  Dr. Qinghe Wang (2023.12-2026.3):  Ph.D. from Chinese University of Hong Kong, Shenzhen.

First job after postdoc: World Model Researcher, Daohe Tongtai Robotics Co., Ltd.

  ◆  Dr. Caiyou Yuan (2024.9-): B.Sc. from Zhejiang University, Ph.D. from Peking University.

  ◆  Dr. Jie Xu (2025.7-): Ph.D. from Ocean University of China.

  ◆  Dr. Xuan Wu (2025.9-): Ph.D. from University of Macau.

  • Graduate Students

 Ph.D. Students:

  ◆  Zhuoyun Li (2022.9-),  Ph.D. Student,  B.Sc. from Southern University of Science and Technology.

  ◆  Manting Peng (2022.9-),  Ph.D. Student,  B.Sc. from Southern University of Science and Technology.

  ◆  Linfeng Xu (2022.9-),  Ph.D. Student,  B.Sc. from Southern University of Science and Technology.

  ◆  Dongwen Pang (2023.9-),  Ph.D. Student,  B.Sc. from Wuhan University of Technology, M.Sc. from Xiangtan University. 

  ◆  Jiahe Yue (2024.09-),  Ph.D. Student,  B.Sc. from NUAA.

  ◆  Miaosen Jiao (2025.9-),  Ph.D Student,  B.Sc. from Southern University of Science and Technology.

  ◆  Zongda He (2025.9-),  Ph.D Student,  B.Sc. from Southern University of Science and Technology.

 Master Students:

  ◆  Fang Yan (2021.9-2023.7), Master Student，B.Sc. from South China University of Technology.

  ◆  Miaosen Jiao (2023.9-2025.7),  Master Student,  B.Sc. from Southern University of Science and Technology.

  ◆  Yuchen Huang (2024.09-),  Master Student,  B.Sc. from Southern University of Science and Technology.

  ◆  Haoxiang Yang (2025.09-),  Master Student,  B.Sc. from Southern University of Science and Technology.

  ◆  Fangyu Du (2025.09-),  Master Student,  B.Sc. from Southern University of Science and Technology.

  ◆  Hongye Deng (2025.09-),  Master Student,  B.Sc. from CUP (East China)


  • Visiting Postdocs & Students

  ◆  Dr. Junfeng Chen ( 2022.3-2022.9 ):  B.Sc. from Tsinghua University, Ph.D. from Paris Sciences et Lettres – PSL Research University. 

  ◆  Dr. Chuan Fan (2023.6-2023.9):  Ph.D. from Xiamen University.

  ◆  Dr. Hao Li (2023.12-2024.1): Ph.D. from Purdue University；Postdoc at University of Texas at Austin. 

      ◆  Dr. Junming Duan (2023.6-2023.7): Ph.D. Peking University; Postdoc at EPFL. 

      ◆  Dr. Caiyou Yuan (2024.7-2024.8): Ph.D. Peking University.

  ◆  Dr. Jun Fang (2025.7-2025.8): Ph.D. from IAPCM.

  ◆  Haili Jiang (2021.4-2021.12), Visiting Ph.D. Student from Peking University.

  ◆  Caiyou Yuan(2023.06.29-08.30), Visiting Ph.D. student from Peking University.

  ◆  Zhihao Zhang (2023.06.29-08.30), Visiting Ph.D. student from Peking University.

  ◆  Jiangfu Wang (2023.06.29-08.30), Visiting Ph.D. student from Peking University.

  ◆  Wei Chen (2024/2025), Visiting Ph.D. student from Xiamen University.

  ◆  Chaoyi Cai (2024/2025), Visiting Ph.D. student from Xiamen University.

  ◆  Hao Wang (2025.7-2025.8), Visiting undergraduate student from Zhejiang University.


Welcome passionate and highly self-motivated students to join our group! If you are interested in our research, please feel free to contact me by email: WUKL@sustech.edu.cn.


招聘博士后和研究助理教授（RAP）。每年计划招收博士生/硕士生 1-2名。

有意者请将相关应聘或申请材料发送至：WUKL@sustech.edu.cn



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