## Wu, Kailiang

Compute Distance To:
 Author ID: wu.kailiang Published as: Wu, Kailiang
 Documents Indexed: 41 Publications since 1991 Co-Authors: 13 Co-Authors with 28 Joint Publications 545 Co-Co-Authors
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### Co-Authors

 3 single-authored 13 Xiu, Dongbin 11 Tang, Huazhong 4 Shu, Chi-Wang 3 Qin, Tong 2 Chen, Zhen 2 Fuerst, S. V. 2 Shin, Yeonjong 2 Yang, Zhicheng 1 Abriak, Nor-Edine 1 Becquart, F. 1 Chen, Chiuyuan 1 Churchill, Victor 1 Czulak, A. 1 Felten, C. J. 1 Fuller, Mark E. 1 Hou, Jun 1 Jiang, Haili 1 Kithes, A. G. 1 Kuang, Yangyu 1 Litva, John 1 Liu, Joseph T. C. 1 Pizette, Patrick 1 Rémond, Sébastien 1 Xing, Yulong 1 Zhong, Xinghui
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### Serials

 11 Journal of Computational Physics 7 SIAM Journal on Scientific Computing 2 Astronomy and Astrophysics 2 Numerische Mathematik 2 Communications on Applied Mathematics and Computation 1 Archives of Mechanics 1 Electronics Letters 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 SIAM Journal on Numerical Analysis 1 Theoretical Computer Science 1 Computational Mechanics 1 Journal of Scientific Computing 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Archive of Applied Mechanics 1 Journal of Dynamical and Control Systems 1 Waves in Random and Complex Media 1 Communications in Computational Physics 1 Numerical Mathematics: Theory, Methods and Applications 1 East Asian Journal on Applied Mathematics 1 AMM. Applied Mathematics and Mechanics. (English Edition)
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### Fields

 30 Numerical analysis (65-XX) 20 Fluid mechanics (76-XX) 15 Partial differential equations (35-XX) 5 Computer science (68-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Relativity and gravitational theory (83-XX) 2 Ordinary differential equations (34-XX) 2 Approximations and expansions (41-XX) 2 Statistics (62-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Astronomy and astrophysics (85-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

29 Publications have been cited 234 times in 113 Documents Cited by Year
High-order accurate physical-constraints-preserving finite difference WENO schemes for special relativistic hydrodynamics. Zbl 1349.76550
Wu, Kailiang; Tang, Huazhong
2015
Data driven governing equations approximation using deep neural networks. Zbl 1455.65125
Qin, Tong; Wu, Kailiang; Xiu, Dongbin
2019
Positivity-preserving analysis of numerical schemes for ideal magnetohydrodynamics. Zbl 1391.76369
Wu, Kailiang
2018
A stochastic Galerkin method for first-order quasilinear hyperbolic systems with uncertainty. Zbl 1380.65315
Wu, Kailiang; Tang, Huazhong; Xiu, Dongbin
2017
Numerical aspects for approximating governing equations using data. Zbl 1451.65008
Wu, Kailiang; Xiu, Dongbin
2019
Desingularized meshless method for solving Laplace equation with over-specified boundary conditions using regularization techniques. Zbl 1165.65073
Chen, K. H.; Kao, J. H.; Chen, J. T.; Wu, K. L.
2009
Finite volume local evolution Galerkin method for two-dimensional relativistic hydrodynamics. Zbl 1349.76408
Wu, Kailiang; Tang, Huazhong
2014
Admissible states and physical-constraints-preserving schemes for relativistic magnetohydrodynamic equations. Zbl 1371.76096
Wu, Kailiang; Tang, Huazhong
2017
A third-order accurate direct Eulerian GRP scheme for the Euler equations in gas dynamics. Zbl 1349.76551
Wu, Kailiang; Yang, Zhicheng; Tang, Huazhong
2014
Provably positive high-order schemes for ideal magnetohydrodynamics: analysis on general meshes. Zbl 1419.76446
Wu, Kailiang; Shu, Chi-Wang
2019
A provably positive discontinuous Galerkin method for multidimensional ideal magnetohydrodynamics. Zbl 1404.65184
Wu, Kailiang; Shu, Chi-Wang
2018
A third-order accurate direct Eulerian GRP scheme for one-dimensional relativistic hydrodynamics. Zbl 1309.76145
Wu, Kailiang; Yang, Zhicheng; Tang, Huazhong
2014
A direct Eulerian GRP scheme for spherically symmetric general relativistic hydrodynamics. Zbl 1419.76468
Wu, Kailiang; Tang, Huazhong
2016
Entropy symmetrization and high-order accurate entropy stable numerical schemes for relativistic MHD equations. Zbl 1450.65089
Wu, Kailiang; Shu, Chi-Wang
2020
A randomized tensor quadrature method for high dimensional polynomial approximation. Zbl 1373.65012
Wu, Kailiang; Shin, Yeonjong; Xiu, Dongbin
2017
On physical-constraints-preserving schemes for special relativistic magnetohydrodynamics with a general equation of state. Zbl 1394.65149
Wu, Kailiang; Tang, Huazhong
2018
Structure-preserving method for reconstructing unknown Hamiltonian systems from trajectory data. Zbl 1462.65219
Wu, Kailiang; Qin, Tong; Xiu, Dongbin
2020
Runge-Kutta discontinuous local evolution Galerkin methods for the shallow water equations on the cubed-sphere grid. Zbl 1399.65255
Kuang, Yangyu; Wu, Kailiang; Tang, Huazhong
2017
Provably physical-constraint-preserving discontinuous Galerkin methods for multidimensional relativistic MHD equations. Zbl 1480.65271
Wu, Kailiang; Shu, Chi-Wang
2021
Sequential function approximation with noisy data. Zbl 1415.65035
Shin, Yeonjong; Wu, Kailiang; Xiu, Dongbin
2018
Discrete mechanics and the finite element method. Zbl 1068.70500
Chen, J.-B.; Guo, H.-Y.; Wu, K.
2003
Uniformly high-order structure-preserving discontinuous Galerkin methods for Euler equations with gravitation: positivity and well-balancedness. Zbl 1466.65150
Wu, Kailiang; Xing, Yulong
2021
Sequential function approximation on arbitrarily distributed point sets. Zbl 1380.65034
Wu, Kailiang; Xiu, Dongbin
2018
A WENO-based stochastic Galerkin scheme for ideal MHD equations with random inputs. Zbl 1473.65217
Wu, Kailiang; Xiu, Dongbin; Zhong, Xinghui
2021
Periodic solutions for a class of second order delay systems. Zbl 1282.34074
Wu, K.; Wu, X.; Zhou, F.
2013
Line emission from optically thick relativistic accretion tori. Zbl 1141.85002
Fuerst, S. V.; Wu, K.
2007
A Newton multigrid method for steady-state shallow water equations with topography and dry areas. Zbl 1367.76037
Wu, Kailiang; Tang, Huazhong
2016
Minimum principle on specific entropy and high-order accurate invariant-region-preserving numerical methods for relativistic hydrodynamics. Zbl 07439856
Wu, Kailiang
2021
Data-driven deep learning of partial differential equations in modal space. Zbl 07505629
Wu, Kailiang; Xiu, Dongbin
2020
Provably physical-constraint-preserving discontinuous Galerkin methods for multidimensional relativistic MHD equations. Zbl 1480.65271
Wu, Kailiang; Shu, Chi-Wang
2021
Uniformly high-order structure-preserving discontinuous Galerkin methods for Euler equations with gravitation: positivity and well-balancedness. Zbl 1466.65150
Wu, Kailiang; Xing, Yulong
2021
A WENO-based stochastic Galerkin scheme for ideal MHD equations with random inputs. Zbl 1473.65217
Wu, Kailiang; Xiu, Dongbin; Zhong, Xinghui
2021
Minimum principle on specific entropy and high-order accurate invariant-region-preserving numerical methods for relativistic hydrodynamics. Zbl 07439856
Wu, Kailiang
2021
Entropy symmetrization and high-order accurate entropy stable numerical schemes for relativistic MHD equations. Zbl 1450.65089
Wu, Kailiang; Shu, Chi-Wang
2020
Structure-preserving method for reconstructing unknown Hamiltonian systems from trajectory data. Zbl 1462.65219
Wu, Kailiang; Qin, Tong; Xiu, Dongbin
2020
Data-driven deep learning of partial differential equations in modal space. Zbl 07505629
Wu, Kailiang; Xiu, Dongbin
2020
Data driven governing equations approximation using deep neural networks. Zbl 1455.65125
Qin, Tong; Wu, Kailiang; Xiu, Dongbin
2019
Numerical aspects for approximating governing equations using data. Zbl 1451.65008
Wu, Kailiang; Xiu, Dongbin
2019
Provably positive high-order schemes for ideal magnetohydrodynamics: analysis on general meshes. Zbl 1419.76446
Wu, Kailiang; Shu, Chi-Wang
2019
Positivity-preserving analysis of numerical schemes for ideal magnetohydrodynamics. Zbl 1391.76369
Wu, Kailiang
2018
A provably positive discontinuous Galerkin method for multidimensional ideal magnetohydrodynamics. Zbl 1404.65184
Wu, Kailiang; Shu, Chi-Wang
2018
On physical-constraints-preserving schemes for special relativistic magnetohydrodynamics with a general equation of state. Zbl 1394.65149
Wu, Kailiang; Tang, Huazhong
2018
Sequential function approximation with noisy data. Zbl 1415.65035
Shin, Yeonjong; Wu, Kailiang; Xiu, Dongbin
2018
Sequential function approximation on arbitrarily distributed point sets. Zbl 1380.65034
Wu, Kailiang; Xiu, Dongbin
2018
A stochastic Galerkin method for first-order quasilinear hyperbolic systems with uncertainty. Zbl 1380.65315
Wu, Kailiang; Tang, Huazhong; Xiu, Dongbin
2017
Admissible states and physical-constraints-preserving schemes for relativistic magnetohydrodynamic equations. Zbl 1371.76096
Wu, Kailiang; Tang, Huazhong
2017
A randomized tensor quadrature method for high dimensional polynomial approximation. Zbl 1373.65012
Wu, Kailiang; Shin, Yeonjong; Xiu, Dongbin
2017
Runge-Kutta discontinuous local evolution Galerkin methods for the shallow water equations on the cubed-sphere grid. Zbl 1399.65255
Kuang, Yangyu; Wu, Kailiang; Tang, Huazhong
2017
A direct Eulerian GRP scheme for spherically symmetric general relativistic hydrodynamics. Zbl 1419.76468
Wu, Kailiang; Tang, Huazhong
2016
A Newton multigrid method for steady-state shallow water equations with topography and dry areas. Zbl 1367.76037
Wu, Kailiang; Tang, Huazhong
2016
High-order accurate physical-constraints-preserving finite difference WENO schemes for special relativistic hydrodynamics. Zbl 1349.76550
Wu, Kailiang; Tang, Huazhong
2015
Finite volume local evolution Galerkin method for two-dimensional relativistic hydrodynamics. Zbl 1349.76408
Wu, Kailiang; Tang, Huazhong
2014
A third-order accurate direct Eulerian GRP scheme for the Euler equations in gas dynamics. Zbl 1349.76551
Wu, Kailiang; Yang, Zhicheng; Tang, Huazhong
2014
A third-order accurate direct Eulerian GRP scheme for one-dimensional relativistic hydrodynamics. Zbl 1309.76145
Wu, Kailiang; Yang, Zhicheng; Tang, Huazhong
2014
Periodic solutions for a class of second order delay systems. Zbl 1282.34074
Wu, K.; Wu, X.; Zhou, F.
2013
Desingularized meshless method for solving Laplace equation with over-specified boundary conditions using regularization techniques. Zbl 1165.65073
Chen, K. H.; Kao, J. H.; Chen, J. T.; Wu, K. L.
2009
Line emission from optically thick relativistic accretion tori. Zbl 1141.85002
Fuerst, S. V.; Wu, K.
2007
Discrete mechanics and the finite element method. Zbl 1068.70500
Chen, J.-B.; Guo, H.-Y.; Wu, K.
2003
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### Cited by 200 Authors

 20 Wu, Kailiang 17 Tang, Huazhong 11 Shu, Chi-Wang 11 Xiu, Dongbin 5 Duan, Junming 4 Narayan, Akil C. 3 Chen, Zhen 3 He, Xiaoming 3 Kuang, Yangyu 3 Li, Jiequan 2 Amat, Sergio P. 2 Bhoriya, Deepak 2 Bortz, David M. 2 Chen, Yaping 2 Chou, Ching-Shan 2 Cyr, Eric C. 2 Dai, Dihan 2 Dürrwächter, Jakob 2 Epshteyn, Yekaterina 2 Gerster, Stephan 2 Herty, Michael Matthias 2 Hu, Guanghui 2 Huang, Juntao 2 Kumar, Harish 2 Messenger, Daniel A. 2 Meyer, Fabian 2 Ming, Ju 2 Qin, Tong 2 Schlachter, Louisa 2 Sun, Zheng 2 Xing, Yulong 2 Zhang, Dongxiao 2 Zhang, Qinglong 2 Zhao, Jian 2 Zhao, Weifeng 2 Zhong, Xinghui 1 Abreu, Eduardo 1 Balsara, Dinshaw S. 1 Beck, Andrea D. 1 Beise, Hans-Peter 1 Bhouri, Mohamed Aziz 1 Bierbooms, Wim 1 Biswas, Biswarup 1 Boureima, I. 1 Brunton, Steven L. 1 Cai, Xin 1 Capogna, Luca 1 Chandrashekar, Praveen 1 Chang, Haibin 1 Chen, Minghua 1 Chen, Xiaoli 1 Chen, Yibing 1 Chu, Ran 1 Churchill, Victor 1 Citti, Giovanna 1 Cortiella, Alexandre 1 Cui, Su-Ping 1 Dai, Zihuan 1 de Lorenzis, Laura 1 Dong, Guozhi 1 Doostan, Alireza 1 Duan, Jinqiao 1 Endeve, Eirik 1 Fang, Zhiwei 1 Flaschel, Moritz 1 François, Jean 1 Francois, Marianne M. 1 Frank, Martin 1 Gao, Zhen 1 Gu, Yaguang 1 Guo, Ling 1 Gyrya, Vitaliy T. 1 Hauck, Cory D. 1 He, Yuchen 1 Hintermüller, Michael 1 Ho, Lam Si Tung 1 Hu, Xianliang 1 Ibáñez, José María 1 Jakeman, John Davis 1 Jia, Zupeng 1 Jiang, Haili 1 Jiang, Song 1 Jiang, Xinyu 1 Kaheman, Kadierdan 1 Kang, Sung Ha 1 Karasözen, Bülent 1 Karniadakis, George Em 1 Keshavarzzadeh, Vahid 1 Krämer, Boris 1 Kumar, Rakesh 1 Kumar, Siddhant 1 Kurien, Susan 1 Kusch, Jonas 1 Kutz, J. Nathan 1 Kuzmin, Dmitri 1 Lambert, Wanderson J. 1 Li, Caixia 1 Li, Jichun 1 Li, Jinglai 1 Li, Maojun ...and 100 more Authors
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### Cited in 33 Serials

 41 Journal of Computational Physics 9 SIAM Journal on Scientific Computing 9 Communications in Computational Physics 8 Journal of Scientific Computing 4 Computers and Fluids 4 Computer Methods in Applied Mechanics and Engineering 3 Communications on Applied Mathematics and Computation 2 Computers & Mathematics with Applications 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Applied Mathematics and Computation 2 Journal of Computational and Applied Mathematics 2 Numerische Mathematik 2 SIAM Journal on Numerical Analysis 2 SIAM/ASA Journal on Uncertainty Quantification 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Mathematics of Computation 1 Bulletin of Mathematical Biology 1 Journal of Approximation Theory 1 Physica D 1 Applied Numerical Mathematics 1 Computational Mechanics 1 European Journal of Applied Mathematics 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 SIAM Review 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 ETNA. Electronic Transactions on Numerical Analysis 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Journal of Machine Learning Research (JMLR) 1 Multiscale Modeling & Simulation 1 Analysis and Applications (Singapore) 1 Discrete and Continuous Dynamical Systems. Series S 1 Advances in Applied Mathematics and Mechanics 1 East Asian Journal on Applied Mathematics
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### Cited in 25 Fields

 86 Numerical analysis (65-XX) 56 Fluid mechanics (76-XX) 48 Partial differential equations (35-XX) 20 Computer science (68-XX) 10 Dynamical systems and ergodic theory (37-XX) 6 Approximations and expansions (41-XX) 5 Statistics (62-XX) 5 Systems theory; control (93-XX) 3 Probability theory and stochastic processes (60-XX) 2 Ordinary differential equations (34-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of deformable solids (74-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Relativity and gravitational theory (83-XX) 2 Astronomy and astrophysics (85-XX) 1 Real functions (26-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX)