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Author ID: wu.kailiang Recent zbMATH articles by "Wu, Kailiang"
Published as: Wu, Kailiang

Publications by Year

Citations contained in zbMATH Open

37 Publications have been cited 447 times in 217 Documents Cited by Year
Data driven governing equations approximation using deep neural networks. Zbl 1455.65125
Qin, Tong; Wu, Kailiang; Xiu, Dongbin
54
2019
High-order accurate physical-constraints-preserving finite difference WENO schemes for special relativistic hydrodynamics. Zbl 1349.76550
Wu, Kailiang; Tang, Huazhong
42
2015
Data-driven deep learning of partial differential equations in modal space. Zbl 07505629
Wu, Kailiang; Xiu, Dongbin
39
2020
Positivity-preserving analysis of numerical schemes for ideal magnetohydrodynamics. Zbl 1391.76369
Wu, Kailiang
32
2018
Numerical aspects for approximating governing equations using data. Zbl 1451.65008
Wu, Kailiang; Xiu, Dongbin
27
2019
A provably positive discontinuous Galerkin method for multidimensional ideal magnetohydrodynamics. Zbl 1404.65184
Wu, Kailiang; Shu, Chi-Wang
27
2018
Provably positive high-order schemes for ideal magnetohydrodynamics: analysis on general meshes. Zbl 1419.76446
Wu, Kailiang; Shu, Chi-Wang
24
2019
Admissible states and physical-constraints-preserving schemes for relativistic magnetohydrodynamic equations. Zbl 1371.76096
Wu, Kailiang; Tang, Huazhong
23
2017
A stochastic Galerkin method for first-order quasilinear hyperbolic systems with uncertainty. Zbl 1380.65315
Wu, Kailiang; Tang, Huazhong; Xiu, Dongbin
18
2017
Entropy symmetrization and high-order accurate entropy stable numerical schemes for relativistic MHD equations. Zbl 1450.65089
Wu, Kailiang; Shu, Chi-Wang
16
2020
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.
15
2009
A third-order accurate direct Eulerian GRP scheme for the Euler equations in gas dynamics. Zbl 1349.76551
Wu, Kailiang; Yang, Zhicheng; Tang, Huazhong
14
2014
Finite volume local evolution Galerkin method for two-dimensional relativistic hydrodynamics. Zbl 1349.76408
Wu, Kailiang; Tang, Huazhong
13
2014
Provably physical-constraint-preserving discontinuous Galerkin methods for multidimensional relativistic MHD equations. Zbl 1480.65271
Wu, Kailiang; Shu, Chi-Wang
13
2021
A third-order accurate direct Eulerian GRP scheme for one-dimensional relativistic hydrodynamics. Zbl 1309.76145
Wu, Kailiang; Yang, Zhicheng; Tang, Huazhong
12
2014
A direct Eulerian GRP scheme for spherically symmetric general relativistic hydrodynamics. Zbl 1419.76468
Wu, Kailiang; Tang, Huazhong
12
2016
Minimum principle on specific entropy and high-order accurate invariant-region-preserving numerical methods for relativistic hydrodynamics. Zbl 1500.65073
Wu, Kailiang
10
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
10
2021
Deep neural network modeling of unknown partial differential equations in nodal space. Zbl 07524779
Chen, Zhen; Churchill, Victor; Wu, Kailiang; Xiu, Dongbin
9
2022
Structure-preserving method for reconstructing unknown Hamiltonian systems from trajectory data. Zbl 1462.65219
Wu, Kailiang; Qin, Tong; Xiu, Dongbin
8
2020
On physical-constraints-preserving schemes for special relativistic magnetohydrodynamics with a general equation of state. Zbl 1394.65149
Wu, Kailiang; Tang, Huazhong
7
2018
A randomized tensor quadrature method for high dimensional polynomial approximation. Zbl 1373.65012
Wu, Kailiang; Shin, Yeonjong; Xiu, Dongbin
5
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
4
2017
A physical-constraint-preserving finite volume WENO method for special relativistic hydrodynamics on unstructured meshes. Zbl 07561075
Chen, Yaping; Wu, Kailiang
4
2022
Sequential function approximation with noisy data. Zbl 1415.65035
Shin, Yeonjong; Wu, Kailiang; Xiu, Dongbin
4
2018
A WENO-based stochastic Galerkin scheme for ideal MHD equations with random inputs. Zbl 1473.65217
Wu, Kailiang; Xiu, Dongbin; Zhong, Xinghui
3
2021
Geometric quasilinearization framework for analysis and design of bound-preserving schemes. Zbl 1527.65082
Wu, Kailiang; Shu, Chi-Wang
3
2023
Sequential function approximation on arbitrarily distributed point sets. Zbl 1380.65034
Wu, Kailiang; Xiu, Dongbin
2
2018
Discrete mechanics and the finite element method. Zbl 1068.70500
Chen, J.-B.; Guo, H.-Y.; Wu, K.
2
2003
Radiation transfer of emission lines in curved space-time. Zbl 1062.85007
Fuerst, S. V.; Wu, K.
2
2004
A Newton multigrid method for steady-state shallow water equations with topography and dry areas. Zbl 1367.76037
Wu, Kailiang; Tang, Huazhong
2
2016
Methods to recover unknown processes in partial differential equations using data. Zbl 1455.65159
Chen, Zhen; Wu, Kailiang; Xiu, Dongbin
2
2020
Positivity-preserving well-balanced central discontinuous Galerkin schemes for the Euler equations under gravitational fields. Zbl 07536787
Jiang, Haili; Tang, Huazhong; Wu, Kailiang
2
2022
On energy laws and stability of Runge-Kutta methods for linear seminegative problems. Zbl 1502.65143
Sun, Zheng; Wei, Yuanzhe; Wu, Kailiang
2
2022
Provably positive central discontinuous Galerkin schemes via geometric quasilinearization for ideal MHD equations. Zbl 1516.65102
Wu, Kailiang; Jiang, Haili; Shu, Chi-Wang
2
2023
High order asymptotic preserving finite difference WENO schemes with constrained transport for MHD equations in all sonic Mach numbers. Zbl 07696996
Chen, Wei; Wu, Kailiang; Xiong, Tao
2
2023
Line emission from optically thick relativistic accretion tori. Zbl 1141.85002
Fuerst, S. V.; Wu, K.
1
2007
Geometric quasilinearization framework for analysis and design of bound-preserving schemes. Zbl 1527.65082
Wu, Kailiang; Shu, Chi-Wang
3
2023
Provably positive central discontinuous Galerkin schemes via geometric quasilinearization for ideal MHD equations. Zbl 1516.65102
Wu, Kailiang; Jiang, Haili; Shu, Chi-Wang
2
2023
High order asymptotic preserving finite difference WENO schemes with constrained transport for MHD equations in all sonic Mach numbers. Zbl 07696996
Chen, Wei; Wu, Kailiang; Xiong, Tao
2
2023
Deep neural network modeling of unknown partial differential equations in nodal space. Zbl 07524779
Chen, Zhen; Churchill, Victor; Wu, Kailiang; Xiu, Dongbin
9
2022
A physical-constraint-preserving finite volume WENO method for special relativistic hydrodynamics on unstructured meshes. Zbl 07561075
Chen, Yaping; Wu, Kailiang
4
2022
Positivity-preserving well-balanced central discontinuous Galerkin schemes for the Euler equations under gravitational fields. Zbl 07536787
Jiang, Haili; Tang, Huazhong; Wu, Kailiang
2
2022
On energy laws and stability of Runge-Kutta methods for linear seminegative problems. Zbl 1502.65143
Sun, Zheng; Wei, Yuanzhe; Wu, Kailiang
2
2022
Provably physical-constraint-preserving discontinuous Galerkin methods for multidimensional relativistic MHD equations. Zbl 1480.65271
Wu, Kailiang; Shu, Chi-Wang
13
2021
Minimum principle on specific entropy and high-order accurate invariant-region-preserving numerical methods for relativistic hydrodynamics. Zbl 1500.65073
Wu, Kailiang
10
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
10
2021
A WENO-based stochastic Galerkin scheme for ideal MHD equations with random inputs. Zbl 1473.65217
Wu, Kailiang; Xiu, Dongbin; Zhong, Xinghui
3
2021
Data-driven deep learning of partial differential equations in modal space. Zbl 07505629
Wu, Kailiang; Xiu, Dongbin
39
2020
Entropy symmetrization and high-order accurate entropy stable numerical schemes for relativistic MHD equations. Zbl 1450.65089
Wu, Kailiang; Shu, Chi-Wang
16
2020
Structure-preserving method for reconstructing unknown Hamiltonian systems from trajectory data. Zbl 1462.65219
Wu, Kailiang; Qin, Tong; Xiu, Dongbin
8
2020
Methods to recover unknown processes in partial differential equations using data. Zbl 1455.65159
Chen, Zhen; Wu, Kailiang; Xiu, Dongbin
2
2020
Data driven governing equations approximation using deep neural networks. Zbl 1455.65125
Qin, Tong; Wu, Kailiang; Xiu, Dongbin
54
2019
Numerical aspects for approximating governing equations using data. Zbl 1451.65008
Wu, Kailiang; Xiu, Dongbin
27
2019
Provably positive high-order schemes for ideal magnetohydrodynamics: analysis on general meshes. Zbl 1419.76446
Wu, Kailiang; Shu, Chi-Wang
24
2019
Positivity-preserving analysis of numerical schemes for ideal magnetohydrodynamics. Zbl 1391.76369
Wu, Kailiang
32
2018
A provably positive discontinuous Galerkin method for multidimensional ideal magnetohydrodynamics. Zbl 1404.65184
Wu, Kailiang; Shu, Chi-Wang
27
2018
On physical-constraints-preserving schemes for special relativistic magnetohydrodynamics with a general equation of state. Zbl 1394.65149
Wu, Kailiang; Tang, Huazhong
7
2018
Sequential function approximation with noisy data. Zbl 1415.65035
Shin, Yeonjong; Wu, Kailiang; Xiu, Dongbin
4
2018
Sequential function approximation on arbitrarily distributed point sets. Zbl 1380.65034
Wu, Kailiang; Xiu, Dongbin
2
2018
Admissible states and physical-constraints-preserving schemes for relativistic magnetohydrodynamic equations. Zbl 1371.76096
Wu, Kailiang; Tang, Huazhong
23
2017
A stochastic Galerkin method for first-order quasilinear hyperbolic systems with uncertainty. Zbl 1380.65315
Wu, Kailiang; Tang, Huazhong; Xiu, Dongbin
18
2017
A randomized tensor quadrature method for high dimensional polynomial approximation. Zbl 1373.65012
Wu, Kailiang; Shin, Yeonjong; Xiu, Dongbin
5
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
4
2017
A direct Eulerian GRP scheme for spherically symmetric general relativistic hydrodynamics. Zbl 1419.76468
Wu, Kailiang; Tang, Huazhong
12
2016
A Newton multigrid method for steady-state shallow water equations with topography and dry areas. Zbl 1367.76037
Wu, Kailiang; Tang, Huazhong
2
2016
High-order accurate physical-constraints-preserving finite difference WENO schemes for special relativistic hydrodynamics. Zbl 1349.76550
Wu, Kailiang; Tang, Huazhong
42
2015
A third-order accurate direct Eulerian GRP scheme for the Euler equations in gas dynamics. Zbl 1349.76551
Wu, Kailiang; Yang, Zhicheng; Tang, Huazhong
14
2014
Finite volume local evolution Galerkin method for two-dimensional relativistic hydrodynamics. Zbl 1349.76408
Wu, Kailiang; Tang, Huazhong
13
2014
A third-order accurate direct Eulerian GRP scheme for one-dimensional relativistic hydrodynamics. Zbl 1309.76145
Wu, Kailiang; Yang, Zhicheng; Tang, Huazhong
12
2014
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.
15
2009
Line emission from optically thick relativistic accretion tori. Zbl 1141.85002
Fuerst, S. V.; Wu, K.
1
2007
Radiation transfer of emission lines in curved space-time. Zbl 1062.85007
Fuerst, S. V.; Wu, K.
2
2004
Discrete mechanics and the finite element method. Zbl 1068.70500
Chen, J.-B.; Guo, H.-Y.; Wu, K.
2
2003
all top 5

Cited by 391 Authors

31 Wu, Kailiang
21 Tang, Huazhong
14 Xiu, Dongbin
13 Shu, Chi-Wang
9 Duan, Junming
5 Li, Jiequan
4 Chen, Zhen
4 Narayan, Akil C.
4 Tartakovsky, Daniel M.
4 Xing, Yulong
3 Bhoriya, Deepak
3 Chen, Yaping
3 Churchill, Victor
3 Ding, Shengrong
3 Don, Wai Sun
3 Frank, Martin
3 He, Xiaoming
3 Ho, Lam Si Tung
3 Hu, Guanghui
3 Kang, Sung Ha
3 Klingenberg, Christian
3 Kuang, Yangyu
3 Kumar, Harish
3 Kusch, Jonas
3 Liao, Wenjing
3 Sun, Zheng
3 Tran, Giang N.
3 Wang, Baoshan
3 Xu, Hao
3 Zhang, Dongxiao
3 Zhao, Weifeng
3 Zhong, Xinghui
2 Amat Plata, Sergio
2 Balsara, Dinshaw S.
2 Birke, Claudius
2 Biswas, Biswarup
2 Bortz, David M.
2 Boscheri, Walter
2 Chakraborty, Souvik
2 Chandrashekar, Praveen
2 Chang, Haibin
2 Chou, Ching-Shan
2 Cyr, Eric C.
2 Dai, Dihan
2 Doostan, Alireza
2 Dürrwächter, Jakob
2 Dzanic, Tarik
2 Epshteyn, Yekaterina
2 Feng, Xueshang
2 Gao, Zhen
2 Gassner, Gregor J.
2 Gerster, Stephan
2 Gu, Yaguang
2 Gu, Yiqi
2 He, Yuchen
2 Herty, Michael Matthias
2 Huang, Juntao
2 Jiang, Haili
2 Karniadakis, George Em
2 Kutz, J. Nathan
2 Kuzmin, Dmitri
2 Li, Peng
2 Liao, Qifeng
2 Liu, Hao
2 Liu, Mengqing
2 Liu, Yingjie
2 Lu, Hannah
2 Messenger, Daniel A.
2 Meyer, Fabian
2 Ming, Ju
2 Nazarov, Murtazo
2 Perdikaris, Paris G.
2 Qin, Tong
2 Qiu, Changxin
2 Qiu, Jianxian
2 Rueda-Ramírez, Andrés Mauricio
2 Schlachter, Louisa
2 Shadid, John N.
2 Tomas, Ignacio
2 Tripura, Tapas
2 Wang, Jianxun
2 Wang, Zhongjian
2 Witherden, Freddie D.
2 Xia, Yinhua
2 Xiao, Tianbai
2 Xu, Yan
2 Yang, Haizhao
2 Zhang, Qinglong
2 Zhang, Weijie
2 Zhang, Zhiwen
2 Zhao, Jian
1 Abreu, Eduardo
1 Baggenstos, Jonas
1 Bakarji, Joseph
1 Beck, Andrea D.
1 Beise, Hans-Peter
1 Bendickson, Aaron
1 Bhouri, Mohamed Aziz
1 Bierbooms, Wim
1 Bonilla, Marceline S.
...and 291 more Authors
all top 5

Cited in 51 Serials

81 Journal of Computational Physics
16 Journal of Scientific Computing
14 SIAM Journal on Scientific Computing
13 Communications in Computational Physics
9 Computer Methods in Applied Mechanics and Engineering
6 Computers and Fluids
5 Applied Mathematics and Computation
4 Computers & Mathematics with Applications
4 SIAM Journal on Numerical Analysis
4 Applied Numerical Mathematics
4 SIAM/ASA Journal on Uncertainty Quantification
3 Journal of Computational and Applied Mathematics
3 Physica D
3 Communications on Applied Mathematics and Computation
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Mathematics of Computation
2 Bulletin of Mathematical Biology
2 Numerische Mathematik
2 Computational Mechanics
2 SIAM Review
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Discrete and Continuous Dynamical Systems. Series S
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Classical and Quantum Gravity
1 Computer Physics Communications
1 Journal of Mathematical Biology
1 Chaos, Solitons and Fractals
1 Calcolo
1 Journal of Approximation Theory
1 Journal of Computational Mathematics
1 Neural Networks
1 European Journal of Applied Mathematics
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 ETNA. Electronic Transactions on Numerical Analysis
1 Mathematical Problems in Engineering
1 Nonlinear Dynamics
1 Discrete and Continuous Dynamical Systems. Series B
1 Journal of Machine Learning Research (JMLR)
1 Journal of Numerical Mathematics
1 Multiscale Modeling & Simulation
1 Analysis and Applications (Singapore)
1 Oberwolfach Reports
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Advances in Applied Mathematics and Mechanics
1 Science China. Mathematics
1 Journal of Agricultural, Biological, and Environmental Statistics
1 East Asian Journal on Applied Mathematics
1 AMM. Applied Mathematics and Mechanics. (English Edition)
1 Journal of Nonlinear and Variational Analysis
1 Sampling Theory, Signal Processing, and Data Analysis

Citations by Year