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Author ID: xu.jinchao Recent zbMATH articles by "Xu, Jinchao"
Published as: Xu, Jinchao; Xu, J.; Xu, Jin-chao; Xu, Jin-Chao; Xu, Jingchao; Xu, JinChao
Homepage: http://www.math.psu.edu/xu/
External Links: MGP · Wikidata · dblp · GND · IdRef
all top 5

Co-Authors

19 single-authored
25 Zikatanov, Ludmil T.
17 Chen, Long
14 Hu, Xiaozhe
14 Shu, Shi
14 Sun, Pengtao
14 Zhang, Chensong
13 Hong, Qingguo
11 Bramble, James H.
11 He, Juncai
11 Wu, Shuonan
10 Lee, Youngju
8 Siegel, Jonathan W.
8 Zhou, Aihui
7 Bank, Randolph E.
7 Pasciak, Joseph E.
6 Hu, Kaibo
6 Wang, Ming
6 Wu, Jinbiao
5 Huang, Yunqing
5 Wu, Shuhong
5 Zhang, Lian
5 Zheng, Bin
5 Zhong, Liuqiang
5 Zhu, Yunrong
4 Holst, Michael J.
4 Hu, Jun
4 Nochetto, Ricardo Horacio
4 Xue, Guangri
4 Yang, Kai
4 Zhang, Shuo
3 Bacuta, Constantin
3 Feng, Chunsheng
3 Li, Lin
3 Li, Zheng
3 Liu, Chun
3 Ma, Limin
3 Ma, Yicong
3 Mu, Mo
3 Shi, Zhongci
3 Wang, Chaoyang
3 Wang, Fei
3 Wang, Lu
3 Widlund, Olof B.
3 Wittum, Gabriel
3 Xiao, Yingxiong
3 Xie, Xiaoping
3 Xu, Xiaofeng
3 Zhang, Lixiang
2 Bousquet, Arthur
2 Cai, Mingchao
2 Chan, Tony Fan-Cheong
2 Chen, Longqing
2 Chen, Yuyan
2 Gong, Shihua
2 Hao, Wenrui
2 He, Yinnian
2 Hiptmair, Ralf
2 Kim, Hwanho
2 Knyazev, Andrew V.
2 Kornhuber, Ralf
2 Lin, Guang
2 Lin, Qun
2 Mehrmann, Volker
2 Metti, Maximilian S.
2 Park, Jongho
2 Tai, Xuecheng
2 Vassilevski, Panayot Spirov
2 Wang, Feng
2 Wang, Junping
2 Ying, Longan
1 Ayuso de Dios, Blanca
1 Babuška, Ivo
1 Borthagaray, Juan Pablo
1 Brezzi, Franco
1 Caflisch, Russel E.
1 Cai, Xiao-Chuan
1 Carsel, Robert
1 Chen, Jie
1 Chen, Luoping
1 Chen, Shuangshuang
1 Cheng, Hwai-Ping
1 Cheng, Jing-Ru C.
1 Cho, Durkbin
1 Cui, Tao
1 Dai, Xiaoying
1 Dong, Bin
1 Glowinski, Roland
1 Grasedyck, Lars
1 Han, Jiarui
1 Heimsund, Bjørn-Ove
1 Heumann, Holger
1 Hoppe, Ronald H. W.
1 Hu, Qiya
1 Hu, Yucheng
1 Huang, Xuehai
1 Jia, Jiwei
1 Jia, Xiaodong
1 Jin, Jicheng
1 Jin, Xianlin
1 Keyes, David Elliot
...and 70 more Co-Authors
all top 5

Serials

30 Mathematics of Computation
17 Numerische Mathematik
15 Journal of Computational Mathematics
14 SIAM Journal on Numerical Analysis
12 Journal of Computational Physics
7 Computer Methods in Applied Mechanics and Engineering
7 Journal of Scientific Computing
6 SIAM Journal on Scientific Computing
5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
5 Numerical Linear Algebra with Applications
5 Computing and Visualization in Science
5 Science China. Mathematics
3 Journal of Computational and Applied Mathematics
3 Advances in Computational Mathematics
3 Lecture Notes in Computational Science and Engineering
3 Communications in Computational Physics
3 Advances in Applied Mathematics and Mechanics
3 Research in the Mathematical Sciences
2 Computers & Mathematics with Applications
2 Computing
2 Mathematica Numerica Sinica
2 SIAM Review
2 Journal of Numerical Mathematics
2 Oberwolfach Reports
2 Numerical Mathematics: Theory, Methods and Applications
2 Scientia Sinica. Mathematica
1 Classical and Quantum Gravity
1 Computers and Fluids
1 IEEE Transactions on Information Theory
1 IMA Journal of Numerical Analysis
1 BIT
1 International Journal for Numerical Methods in Engineering
1 Natural Science Journal of Xiangtan University
1 Applied Numerical Mathematics
1 Acta Mathematicae Applicatae Sinica. English Series
1 Constructive Approximation
1 Journal of the American Mathematical Society
1 SIAM Journal on Matrix Analysis and Applications
1 Neural Networks
1 SIAM Journal on Applied Mathematics
1 Computational Optimization and Applications
1 Applied and Computational Harmonic Analysis
1 Methods and Applications of Analysis
1 Journal on Numerical Methods and Computer Applications
1 Computational Methods in Applied Mathematics
1 Multiscale Modeling & Simulation
1 Journal of Tongji University. Natural Science
1 Acta Numerica
1 International Journal of Numerical Analysis and Modeling
1 Contemporary Mathematics
1 Handbook of Numerical Analysis
1 Inverse Problems and Imaging

Publications by Year

Citations contained in zbMATH Open

193 Publications have been cited 6,319 times in 3,523 Documents Cited by Year
Iterative methods by space decomposition and subspace correction. Zbl 0788.65037
Xu, Jinchao
443
1992
Two-grid discretization techniques for linear and nonlinear PDEs. Zbl 0860.65119
Xu, Jinchao
404
1996
A novel two-grid method for semilinear elliptic equations. Zbl 0795.65077
Xu, Jinchao
328
1994
A two-grid method of a mixed Stokes-Darcy model for coupling fluid flow with porous media flow. Zbl 1146.76031
Mu, Mo; Xu, Jinchao
174
2007
A two-grid discretization scheme for eigenvalue problems. Zbl 0959.65119
Xu, Jinchao; Zhou, Aihui
154
2001
Parallel multilevel preconditioners. Zbl 0703.65076
Bramble, James H.; Pasciak, Joseph E.; Xu, Jinchao
150
1990
Local and parallel finite element algorithms based on two-grid discretizations. Zbl 0948.65122
Xu, Jinchao; Zhou, Aihui
138
2000
Nodal auxiliary space preconditioning in H(curl) and H(div) spaces. Zbl 1153.78006
Hiptmair, Ralf; Xu, Jinchao
134
2007
Numerical solution to a mixed Navier-Stokes/Darcy model by the two-grid approach. Zbl 1213.76131
Cai, Mingchao; Mu, Mo; Xu, Jinchao
118
2009
The method of alternating projections and the method of subspace corrections in Hilbert space. Zbl 0999.47015
Xu, Jinchao; Zikatanov, Ludmil
118
2002
A monotone finite element scheme for convection-diffusion equations. Zbl 0931.65111
Xu, Jinchao; Zikatanov, Ludmil
116
1999
Analysis of linear and quadratic simplicial finite volume methods for elliptic equations. Zbl 1169.65110
Xu, Jinchao; Zou, Qingsong
103
2009
Some observations on Babuška and Brezzi theories. Zbl 1028.65115
Xu, Jinchao; Zikatanov, Ludmil
102
2003
Asymptotically exact a posteriori error estimators. I: Grids with superconvergence. Zbl 1058.65116
Bank, Randolph E.; Xu, Jinchao
97
2003
Error estimates on a new nonlinear Galerkin method based on two-grid finite elements. Zbl 0853.65092
Marion, Martine; Xu, Jinchao
93
1995
Some estimates for a weighted \(L^ 2\) projection. Zbl 0722.65057
Bramble, James H.; Xu, Jinchao
86
1991
Convergence estimates for multigrid algorithms without regularity assumptions. Zbl 0727.65101
Bramble, James H.; Pasciak, Joseph E.; Wang, Junping; Xu, Jinchao
86
1991
Some nonoverlapping domain decomposition methods. Zbl 0913.65115
Xu, Jinchao; Zou, Jun
86
1998
A new class of iterative methods for nonselfadjoint or indefinite problems. Zbl 0756.65050
Xu, Jinchao
84
1992
Convergence and optimal complexity of adaptive finite element eigenvalue computations. Zbl 1159.65090
Dai, Xiaoying; Xu, Jinchao; Zhou, Aihui
84
2008
Analysis of recovery type a posteriori error estimators for mildly structured grids. Zbl 1050.65103
Xu, Jinchao; Zhang, Zhimin
84
2004
Local and parallel finite element algorithms for the Stokes problem. Zbl 1145.65097
He, Yinnian; Xu, Jinchao; Zhou, Aihui; Li, Jian
83
2008
Local and parallel finite element algorithms based on two-grid discretizations for nonlinear problems. Zbl 0990.65128
Xu, Jinchao; Zhou, Aihui
82
2001
The auxiliary space method and optimal multigrid preconditioning techniques for unstructured grids. Zbl 0857.65129
Xu, J.
81
1996
Local and parallel finite element algorithms for the Navier-Stokes problem. Zbl 1093.76035
He, Yinnian; Xu, Jinchao; Zhou, Aihui
77
2006
Uniformly-stable finite element methods for Darcy-Stokes-Brinkman models. Zbl 1174.76013
Xie, Xiaoping; Xu, Jinchao; Xue, Guangri
75
2008
Convergence estimates for product iterative methods with applications to domain decomposition. Zbl 0754.65085
Bramble, James H.; Pasciak, Joseph E.; Wang, Junping; Xu, Jinchao
73
1991
The Morley element for fourth order elliptic equations in any dimensions. Zbl 1092.65103
Ming, Wang; Xu, Jinchao
73
2006
The analysis of multigrid algorithms with nonnested spaces or noninherited quadratic forms. Zbl 0718.65081
Bramble, James H.; Pasciak, Joseph E.; Xu, Jinchao
70
1991
Algebraic multigrid methods. Zbl 1378.65182
Xu, Jinchao; Zikatanov, Ludmil
67
2017
Stable finite element methods preserving \(\nabla \cdot \boldsymbol{B}=0\) exactly for MHD models. Zbl 1381.76174
Hu, Kaibo; Ma, Yicong; Xu, Jinchao
59
2017
Asymptotically exact a posteriori error estimators. II: General unstructured grids. Zbl 1058.65117
Bank, Randolph E.; Xu, Jinchao
59
2003
The finite element approximation of the nonlinear Poisson-Boltzmann equation. Zbl 1152.65478
Chen, Long; Holst, Michael J.; Xu, Jinchao
56
2007
On the stability and accuracy of partially and fully implicit schemes for phase field modeling. Zbl 1440.80003
Xu, Jinchao; Li, Yukun; Wu, Shuonan; Bousquet, Arthur
50
2019
Global and uniform convergence of subspace correction methods for some convex optimization problems. Zbl 0985.65065
Tai, Xue-Cheng; Xu, Jinchao
49
2002
Local and parallel finite element algorithms for eigenvalue problems. Zbl 1015.65060
Xu, Jinchao; Zhou, Aihui
48
2002
Uniform convergent multigrid methods for elliptic problems with strongly discontinuous coefficients. Zbl 1151.65097
Xu, Jinchao; Zhu, Yunrong
48
2008
ReLU deep neural networks and linear finite elements. Zbl 1463.68072
He, Juncai; Li, Lin; Xu, Jinchao; Zheng, Chunyue
47
2020
Convergence and optimality of adaptive mixed finite element methods. Zbl 1198.65211
Chen, Long; Holst, Michael; Xu, Jinchao
47
2009
Preconditioning techniques for a mixed Stokes/Darcy model in porous medium applications. Zbl 1172.76023
Cai, Mingchao; Mu, Mo; Xu, Jinchao
46
2009
Optimal anisotropic meshes for minimizing interpolation errors in \(L^p\)-norms. Zbl 1106.41013
Chen, Long; Sun, Pengtao; Xu, Jingchao
42
2007
Parallel multilevel preconditioners. Zbl 0725.65095
Bramble, J. H.; Pasciak, J. E.; Xu, J.
41
1990
Robust preconditioners for incompressible MHD models. Zbl 1349.76629
Ma, Yicong; Hu, Kaibo; Hu, Xiaozhe; Xu, Jinchao
39
2016
A new class of Zienkiewicz-type non-conforming element in any dimensions. Zbl 1118.65124
Wang, Ming; Shi, Zhong-ci; Xu, Jinchao
37
2007
Minimal finite element spaces for \(2m\)-th-order partial differential equations in \(\mathbb{R}^n\). Zbl 1264.65199
Wang, Ming; Xu, Jinchao
37
2013
Energetically stable discretizations for charge transport and electrokinetic models. Zbl 1351.78040
Metti, Maximilian S.; Xu, Jinchao; Liu, Chun
36
2016
Galerkin-wavelet methods for two-point boundary value problems. Zbl 0771.65050
Xu, Jin-Chao; Shann, Wei-Chang
36
1992
Convergence and optimality of adaptive edge finite element methods for time-harmonic Maxwell equations. Zbl 1263.78012
Zhong, Liuqiang; Chen, Long; Shu, Shi; Wittum, Gabriel; Xu, Jinchao
36
2012
A nonconforming finite element method for fourth order curl equations in \(\mathbb R^3\). Zbl 1227.78024
Zheng, Bin; Hu, Qiya; Xu, Jinchao
34
2011
Superconvergence of quadratic finite elements on mildly structured grids. Zbl 1195.65193
Huang, Yunqing; Xu, Jinchao
33
2008
A two-grid discretization method for decoupling systems of partial differential equations. Zbl 1119.65117
Jin, Jicheng; Shu, Shi; Xu, Jinchao
33
2006
Some \(n\)-rectangle nonconforming elements for fourth order elliptic equations. Zbl 1142.65451
Wang, Ming; Shi, Zhongci; Xu, Jinchao
33
2007
An agglomeration multigrid method for unstructured grids. Zbl 0909.65102
Chan, Tony F.; Xu, Jinchao; Zikatanov, Ludmil
32
1998
A discontinuous Galerkin method for the fourth-order curl problem. Zbl 1289.76053
Hong, Qingguo; Hu, Jun; Shu, Shi; Xu, Jinchao
32
2012
Lower bounds of the discretization error for piecewise polynomials. Zbl 1280.65118
Lin, Qun; Xie, Hehu; Xu, Jinchao
32
2014
Optimal Delaunay triangulations. Zbl 1048.65020
Chen, Long; Xu, Jinchao
30
2004
Approximation rates for neural networks with general activation functions. Zbl 1480.41007
Siegel, Jonathan W.; Xu, Jinchao
30
2020
Optimal multilevel methods for \(H\)(grad), \(H\)(curl), and \(H\)(div) systems on graded and unstructured grids. Zbl 1193.65209
Xu, Jinchao; Chen, Long; Nochetto, Ricardo H.
29
2009
Modified Morley element method for a fourth order elliptic singular perturbation problem. Zbl 1102.65118
Wang, Ming; Xu, Jin-chao; Hu, Yucheng
29
2006
An algorithm for coarsening unstructured meshes. Zbl 0857.65034
Bank, Randolph E.; Xu, Jinchao
29
1996
New formulations, positivity preserving discretizations and stability analysis for non-Newtonian flow models. Zbl 1176.76068
Lee, Young-Ju; Xu, Jinchao
28
2006
Convergence and optimality of the adaptive Morley element method. Zbl 1255.65212
Hu, Jun; Shi, Zhongci; Xu, Jinchao
28
2012
On an energy minimizing basis for algebraic multigrid methods. Zbl 1077.65130
Xu, Jinchao; Zikatanov, Ludmil
27
2004
A scalable consistent second-order SPH solver for unsteady low Reynolds number flows. Zbl 1423.76372
Trask, Nathaniel; Maxey, Martin; Kim, Kyungjoo; Perego, Mauro; Parks, Michael L.; Yang, Kai; Xu, Jinchao
27
2015
MgNet: a unified framework of multigrid and convolutional neural network. Zbl 1476.65026
He, Juncai; Xu, Jinchao
27
2019
Linear finite elements with high accuracy. Zbl 0577.65094
Lin, Qun; Xu, Jinchao
27
1985
Robust subspace correction methods for nearly singular systems. Zbl 1151.65096
Lee, Young-Ju; Wu, Jinbiao; Xu, Jinchao; Zikatanov, Ludmil
27
2007
A robust multigrid method for discontinuous Galerkin discretizations of Stokes and linear elasticity equations. Zbl 1338.76054
Hong, Qingguo; Kraus, Johannes; Xu, Jinchao; Zikatanov, Ludmil
26
2016
The analysis of multigrid algorithms for nonsymmetric and indefinite elliptic problems. Zbl 0699.65075
Bramble, James H.; Pasciak, Joseph E.; Xu, Jinchao
26
1988
Superconvergent derivative recovery for Lagrange triangular elements of degree \(p\) on unstructured grids. Zbl 1156.65091
Bank, Randolph E.; Xu, Jinchao; Zheng, Bin
26
2007
Optimal multilevel methods for graded bisection grids. Zbl 1235.65144
Chen, Long; Nochetto, Ricardo H.; Xu, Jinchao
26
2012
Optimal error estimates for Nédélec edge elements for time-harmonic Maxwell’s equations. Zbl 1212.65467
Zhong, Liuqiang; Shu, Shi; Wittum, Gabriel; Xu, Jinchao
26
2009
Regularity estimates for elliptic boundary value problems in Besov spaces. Zbl 1031.65133
Bacuta, Constantin; Bramble, James H.; Xu, Jinchao
25
2003
A multigrid method based on graph matching for convection-diffusion equations. Zbl 1071.65167
Kim, HwanHo; Xu, Jinchao; Zikatanov, Ludmil
25
2003
Superconvergence of the gradient in piecewise linear finite-element approximation to a parabolic problem. Zbl 0678.65079
Thomée, Vidar; Xu, Jin-Chao; Zhang, Nai-Ying
24
1989
Two-grid methods for time-harmonic Maxwell equations. Zbl 1289.78014
Zhong, Liuqiang; Shu, Shi; Wang, Junxian; Xu, J.
24
2013
A unified study of continuous and discontinuous Galerkin methods. Zbl 1412.65214
Hong, Qingguo; Wang, Fei; Wu, Shuonan; Xu, Jinchao
24
2019
High-order extended finite element methods for solving interface problems. Zbl 1442.74243
Xiao, Yuanming; Xu, Jinchao; Wang, Fei
23
2020
Structure-preserving finite element methods for stationary MHD models. Zbl 1405.65151
Hu, Kaibo; Xu, Jinchao
23
2019
A local post-processing technique for improving the accuracy in mixed finite-element approximations. Zbl 0688.65061
Bramble, James H.; Xu, Jinchao
22
1989
Nonconforming tetrahedral finite elements for fourth order elliptic equations. Zbl 1125.65105
Wang, Ming; Xu, Jinchao
21
2007
An introduction to multilevel methods. Zbl 0903.65095
Xu, Jinchao
20
1997
The method of subspace corrections. Zbl 0983.65133
Xu, Jinchao
20
2001
Phase field model of thermo-induced Marangoni effects in the mixtures and its numerical simulations with mixed finite element method. Zbl 1364.76097
Sun, Pengtao; Liu, Chun; Xu, Jinchao
19
2009
A preconditioned GMRES method for nonsymmetric or indefinite problems. Zbl 0766.65034
Xu, Jinchao; Cai, Xiao-Chuan
19
1992
Finite neuron method and convergence analysis. Zbl 1473.65350
Xu, Jinchao
19
2020
Convergence and optimality of the adaptive nonconforming linear element method for the Stokes problem. Zbl 1273.76274
Hu, Jun; Xu, Jinchao
18
2013
A simple preconditioner for a discontinuous Galerkin method for the Stokes problem. Zbl 1299.76128
Ayuso De Dios, Blanca; Brezzi, Franco; Marini, L. Donatella; Xu, Jinchao; Zikatanov, Ludmil
17
2014
Numerical studies of adaptive finite element methods for two dimensional convection-dominated problems. Zbl 1203.65261
Sun, Pengtao; Chen, Long; Xu, Jinchao
17
2010
Regularity estimates for elliptic boundary value problems with smooth data on polygonal domains. Zbl 1050.65108
Bacuta, C.; Bramble, J. H.; Xu, J.
16
2003
Optimal solvers for fourth-order PDEs discretized on unstructured grids. Zbl 1293.65160
Zhang, Shuo; Xu, Jinchao
16
2014
A conforming finite element method for overlapping and nonmatching grids. Zbl 1019.65090
Huang, Yunqing; Xu, Jinchao
16
2003
Well-posedness and robust preconditioners for discretized fluid-structure interaction systems. Zbl 1423.74936
Xu, Jinchao; Yang, Kai
15
2015
A sharp convergence estimate for the method of subspace corrections for singular systems of equations. Zbl 1137.65058
Lee, Young-Ju; Wu, Jinbiao; Xu, Jinchao; Zikatanov, Ludmil
15
2008
Stability and accuracy of adapted finite element methods for singularly perturbed problems. Zbl 1146.65059
Chen, Long; Xu, Jinchao
15
2008
On the convergence of iterative methods for semidefinite linear systems. Zbl 1122.65033
Lee, Young-Ju; Wu, Jinbiao; Xu, Jinchao; Zikatanov, Ludmil
14
2006
Multiphase Allen-Cahn and Cahn-Hilliard models and their discretizations with the effect of pairwise surface tensions. Zbl 1380.65208
Wu, Shuonan; Xu, Jinchao
13
2017
Full Eulerian finite element method of a phase field model for fluid-structure interaction problem. Zbl 1391.76359
Sun, Pengtao; Xu, Jinchao; Zhang, Lixiang
13
2014
A new adaptive local mesh refinement algorithm and its application on fourth order thin film flow problem. Zbl 1123.76343
Sun, Pengtao; Russell, Robert D.; Xu, Jinchao
12
2007
An introduction to multigrid convergence theory. Zbl 0938.65142
Xu, Jinchao
12
1997
An efficient iterative method for dynamical Ginzburg-Landau equations. Zbl 07640551
Hong, Qingguo; Ma, Limin; Xu, Jinchao; Chen, Longqing
1
2023
Greedy training algorithms for neural networks and applications to PDEs. Zbl 07679188
Siegel, Jonathan W.; Hong, Qingguo; Jin, Xianlin; Hao, Wenrui; Xu, Jinchao
1
2023
Robust BPX preconditioner for fractional Laplacians on bounded Lipschitz domains. Zbl 1521.65123
Borthagaray, Juan Pablo; Nochetto, Ricardo H.; Wu, Shuonan; Xu, Jinchao
1
2023
High-order approximation rates for shallow neural networks with cosine and \(\mathrm{ReLU}^k\) activation functions. Zbl 1501.41006
Siegel, Jonathan W.; Xu, Jinchao
6
2022
An extended Galerkin analysis in finite element exterior calculus. Zbl 1492.65311
Hong, Qingguo; Li, Yuwen; Xu, Jinchao
3
2022
Optimal convergence rates for the orthogonal greedy algorithm. Zbl 1497.94027
Siegel, Jonathan W.; Xu, Jinchao
3
2022
Meta-mgnet: meta multigrid networks for solving parameterized partial differential equations. Zbl 07518081
Chen, Yuyan; Dong, Bin; Xu, Jinchao
2
2022
ReLU deep neural networks from the hierarchical basis perspective. Zbl 1524.68317
He, Juncai; Li, Lin; Xu, Jinchao
2
2022
Uniform approximation rates and metric entropy of shallow neural networks. Zbl 1514.41011
Ma, Limin; Siegel, Jonathan W.; Xu, Jinchao
1
2022
Helicity-conservative finite element discretization for incompressible MHD systems. Zbl 07513848
Hu, Kaibo; Lee, Young-Ju; Xu, Jinchao
7
2021
Uniform stability and error analysis for some discontinuous Galerkin methods. Zbl 1474.65439
Hong, Qingguo; Xu, Jinchao
5
2021
An extended Galerkin analysis for elliptic problems. Zbl 1477.65219
Hong, Qingguo; Wu, Shuonan; Xu, Jinchao
3
2021
Multiscale and monolithic arbitrary Lagrangian-Eulerian finite element method for a hemodynamic fluid-structure interaction problem involving aneurysms. Zbl 1515.76177
Hao, Wenrui; Sun, Pengtao; Xu, Jinchao; Zhang, Lian
1
2021
ReLU deep neural networks and linear finite elements. Zbl 1463.68072
He, Juncai; Li, Lin; Xu, Jinchao; Zheng, Chunyue
47
2020
Approximation rates for neural networks with general activation functions. Zbl 1480.41007
Siegel, Jonathan W.; Xu, Jinchao
30
2020
High-order extended finite element methods for solving interface problems. Zbl 1442.74243
Xiao, Yuanming; Xu, Jinchao; Wang, Fei
23
2020
Finite neuron method and convergence analysis. Zbl 1473.65350
Xu, Jinchao
19
2020
A mixed discontinuous Galerkin method for linear elasticity with strongly imposed symmetry. Zbl 1435.65211
Wang, Fei; Wu, Shuonan; Xu, Jinchao
6
2020
Robust block preconditioners for poroelasticity. Zbl 1506.74104
Chen, Shuangshuang; Hong, Qingguo; Xu, Jinchao; Yang, Kai
3
2020
Make \(\ell_1\) regularization effective in training sparse CNN. Zbl 1480.90178
He, Juncai; Jia, Xiaodong; Xu, Jinchao; Zhang, Lian; Zhao, Liang
2
2020
On the stability and accuracy of partially and fully implicit schemes for phase field modeling. Zbl 1440.80003
Xu, Jinchao; Li, Yukun; Wu, Shuonan; Bousquet, Arthur
50
2019
MgNet: a unified framework of multigrid and convolutional neural network. Zbl 1476.65026
He, Juncai; Xu, Jinchao
27
2019
A unified study of continuous and discontinuous Galerkin methods. Zbl 1412.65214
Hong, Qingguo; Wang, Fei; Wu, Shuonan; Xu, Jinchao
24
2019
Structure-preserving finite element methods for stationary MHD models. Zbl 1405.65151
Hu, Kaibo; Xu, Jinchao
23
2019
Nonconforming finite element spaces for \(2m\)th order partial differential equations on \(\mathbb {R}^n\) simplicial grids when \(m=n+1\). Zbl 1407.65304
Wu, Shuonan; Xu, Jinchao
9
2019
New hybridized mixed methods for linear elasticity and optimal multilevel solvers. Zbl 1412.65211
Gong, Shihua; Wu, Shuonan; Xu, Jinchao
8
2019
Generalized Gaffney inequality and discrete compactness for discrete differential forms. Zbl 1428.65084
He, Juncai; Hu, Kaibo; Xu, Jinchao
3
2019
Newton solvers for drift-diffusion and electrokinetic equations. Zbl 1448.65151
Bousquet, Arthur; Hu, Xiaozhe; Metti, Maximilian S.; Xu, Jinchao
11
2018
Error estimates of the classical and improved two-grid methods. Zbl 1488.65677
Zhang, Weifeng; Xu, Jinchao; Zhong, Liuqiang
3
2018
Algebraic multigrid methods. Zbl 1378.65182
Xu, Jinchao; Zikatanov, Ludmil
67
2017
Stable finite element methods preserving \(\nabla \cdot \boldsymbol{B}=0\) exactly for MHD models. Zbl 1381.76174
Hu, Kaibo; Ma, Yicong; Xu, Jinchao
59
2017
Multiphase Allen-Cahn and Cahn-Hilliard models and their discretizations with the effect of pairwise surface tensions. Zbl 1380.65208
Wu, Shuonan; Xu, Jinchao
13
2017
Interior penalty mixed finite element methods of any order in any dimension for linear elasticity with strongly symmetric stress tensor. Zbl 1457.65222
Wu, Shuonan; Gong, Shihua; Xu, Jinchao
11
2017
An error-resilient redundant subspace correction method. Zbl 1364.65275
Cui, Tao; Xu, Jinchao; Zhang, Chen-Song
5
2017
Analytical decoupling techniques for fully implicit reservoir simulation. Zbl 1375.76187
Qiao, Changhe; Wu, Shuhong; Xu, Jinchao; Zhang, Chen-Song
4
2017
Numerical studies of a class of linear solvers for fine-scale petroleum reservoir simulation. Zbl 1364.76157
Li, Zheng; Wu, Shuhong; Zhang, Chen-Song; Xu, Jinchao; Feng, Chunsheng; Hu, Xiaozhe
1
2017
Robust preconditioners for incompressible MHD models. Zbl 1349.76629
Ma, Yicong; Hu, Kaibo; Hu, Xiaozhe; Xu, Jinchao
39
2016
Energetically stable discretizations for charge transport and electrokinetic models. Zbl 1351.78040
Metti, Maximilian S.; Xu, Jinchao; Liu, Chun
36
2016
A robust multigrid method for discontinuous Galerkin discretizations of Stokes and linear elasticity equations. Zbl 1338.76054
Hong, Qingguo; Kraus, Johannes; Xu, Jinchao; Zikatanov, Ludmil
26
2016
Modeling and simulations for fluid and rotating structure interactions. Zbl 1439.74119
Yang, Kai; Sun, Pengtao; Wang, Lu; Xu, Jinchao; Zhang, Lixiang
10
2016
A two-grid SA-AMG convergence bound that improves when increasing the polynomial degree. Zbl 1413.65062
Hu, Xiaozhe; Vassilevski, Panayot S.; Xu, Jinchao
7
2016
A nearly optimal multigrid method for general unstructured grids. Zbl 1356.65241
Grasedyck, Lars; Wang, Lu; Xu, Jinchao
5
2016
Multilevel preconditioners for reaction-diffusion problems with discontinuous coefficients. Zbl 1353.65131
Kolev, Tzanio V.; Xu, Jinchao; Zhu, Yunrong
4
2016
Optimal finite element methods for interface problems. Zbl 1339.65224
Xu, Jinchao; Zhang, Shuo
4
2016
Fast multilevel solvers for a class of discrete fourth order parabolic problems. Zbl 1410.65386
Zheng, Bin; Chen, Luoping; Hu, Xiaozhe; Chen, Long; Nochetto, Ricardo H.; Xu, Jinchao
2
2016
A scalable consistent second-order SPH solver for unsteady low Reynolds number flows. Zbl 1423.76372
Trask, Nathaniel; Maxey, Martin; Kim, Kyungjoo; Perego, Mauro; Parks, Michael L.; Yang, Kai; Xu, Jinchao
27
2015
Well-posedness and robust preconditioners for discretized fluid-structure interaction systems. Zbl 1423.74936
Xu, Jinchao; Yang, Kai
15
2015
A multigrid solver based on distributive smoother and residual overweighting for Oseen problems. Zbl 1363.65155
Chen, Long; Hu, Xiaozhe; Wang, Ming; Xu, Jinchao
9
2015
A cascadic multigrid algorithm for computing the Fiedler vector of graph Laplacians. Zbl 1340.65262
Urschel, John C.; Xu, Jinchao; Hu, Xiaozhe; Zikatanov, Ludmil T.
8
2015
On the stability, consistency and convergence of numerical schemes. Zbl 1488.65197
Xu, Jinchao
1
2015
Lower bounds of the discretization error for piecewise polynomials. Zbl 1280.65118
Lin, Qun; Xie, Hehu; Xu, Jinchao
32
2014
A simple preconditioner for a discontinuous Galerkin method for the Stokes problem. Zbl 1299.76128
Ayuso De Dios, Blanca; Brezzi, Franco; Marini, L. Donatella; Xu, Jinchao; Zikatanov, Ludmil
17
2014
Optimal solvers for fourth-order PDEs discretized on unstructured grids. Zbl 1293.65160
Zhang, Shuo; Xu, Jinchao
16
2014
Full Eulerian finite element method of a phase field model for fluid-structure interaction problem. Zbl 1391.76359
Sun, Pengtao; Xu, Jinchao; Zhang, Lixiang
13
2014
Numerical study of geometric multigrid methods on CPU-GPU heterogeneous computers. Zbl 1305.78016
Feng, Chunsheng; Shu, Shi; Xu, Jinchao; Zhang, Chen-Song
5
2014
On adaptive Eulerian-Lagrangian method for linear convection-diffusion problems. Zbl 1335.65081
Hu, Xiaozhe; Lee, Young-Ju; Xu, Jinchao; Zhang, Chen-Song
3
2014
A multi-stage preconditioner for the black oil model and its OpenMP implementation. Zbl 1455.76179
Feng, Chunsheng; Shu, Shi; Xu, Jinchao; Zhang, Chen-Song
1
2014
Minimal finite element spaces for \(2m\)-th-order partial differential equations in \(\mathbb{R}^n\). Zbl 1264.65199
Wang, Ming; Xu, Jinchao
37
2013
Two-grid methods for time-harmonic Maxwell equations. Zbl 1289.78014
Zhong, Liuqiang; Shu, Shi; Wang, Junxian; Xu, J.
24
2013
Convergence and optimality of the adaptive nonconforming linear element method for the Stokes problem. Zbl 1273.76274
Hu, Jun; Xu, Jinchao
18
2013
Comparative convergence analysis of nonlinear AMLI-cycle multigrid. Zbl 1276.65089
Hu, Xiaozhe; Vassilevski, Panayot S.; Xu, Jinchao
8
2013
Application of auxiliary space preconditioning in field-scale reservoir simulation. Zbl 1305.86001
Hu, Xiaozhe; Xu, Jinchao; Zhang, Chensong
7
2013
Combined preconditioning with applications in reservoir simulation. Zbl 1426.76269
Hu, Xiaozhe; Wu, Shuhong; Wu, Xiao-Hui; Xu, Jinchao; Zhang, Chen-Song; Zhang, Shiquan; Zikatanov, Ludmil
6
2013
A parallel auxiliary grid algebraic multigrid method for graphic processing units. Zbl 1275.65021
Wang, Lu; Hu, Xiaozhe; Cohen, Jonathan; Xu, Jinchao
5
2013
Domain decomposition methods in science and engineering XX. Selected papers based on the presentations of the 20th international conference on domain decomposition, San Diego, CA, USA, February 9–13, 2011. Zbl 1416.65007
3
2013
Analysis of a two-level method for anisotropic diffusion equations on aligned and nonaligned grids. Zbl 1313.65324
Yu, Guozhu; Xu, Jinchao; Zikatanov, Ludmil T.
2
2013
Numerical solution of PDE eigenvalue problems. Abstracts from the workshop held November 17–23, 2013. Zbl 1349.00211
1
2013
Convergence and optimality of adaptive edge finite element methods for time-harmonic Maxwell equations. Zbl 1263.78012
Zhong, Liuqiang; Chen, Long; Shu, Shi; Wittum, Gabriel; Xu, Jinchao
36
2012
A discontinuous Galerkin method for the fourth-order curl problem. Zbl 1289.76053
Hong, Qingguo; Hu, Jun; Shu, Shi; Xu, Jinchao
32
2012
Convergence and optimality of the adaptive Morley element method. Zbl 1255.65212
Hu, Jun; Shi, Zhongci; Xu, Jinchao
28
2012
Optimal multilevel methods for graded bisection grids. Zbl 1235.65144
Chen, Long; Nochetto, Ricardo H.; Xu, Jinchao
26
2012
Convergence analysis of \(V\)-cycle multigrid methods for anisotropic elliptic equations. Zbl 1258.65093
Wu, Yongke; Chen, Long; Xie, Xiaoping; Xu, Jinchao
5
2012
Fully discrete semi-Lagrangian methods for advection of differential forms. Zbl 1267.65130
Heumann, Holger; Hiptmair, Ralf; Li, Kun; Xu, Jinchao
3
2012
A nonconforming finite element method for fourth order curl equations in \(\mathbb R^3\). Zbl 1227.78024
Zheng, Bin; Hu, Qiya; Xu, Jinchao
34
2011
Fast Poisson-based solvers for linear and nonlinear PDEs. Zbl 1228.65233
Xu, Jinchao
10
2011
New mixed finite elements for plane elasticity and Stokes equations. Zbl 1235.74324
Xie, XiaoPing; Xu, JinChao
8
2011
Handbook of numerical analysis. Vol XVI. Special Volume: Numerical methods for non-Newtonian fluids. Zbl 1216.76001
4
2011
A high order adaptive finite element method for solving nonlinear hyperbolic conservation laws. Zbl 1249.65207
Xu, Zhengfu; Xu, Jinchao; Shu, Chiwang
2
2011
Robust preconditioner for H(curl) interface problems. Zbl 1217.78062
Xu, Jinchao; Zhu, Yunrong
2
2011
Stable finite element discretizations for viscoelastic flow models. Zbl 1318.76010
Lee, Young-Ju; Xu, Jinchao; Zhang, Chen-Song
2
2011
Global existence, uniqueness and optimal solvers of discretized viscoelastic flow models. Zbl 1225.76198
Lee, Young-Ju; Xu, Jinchao; Zhang, Chen-Song
2
2011
Effects of integrations and adaptivity for the Eulerian-Lagrangian method. Zbl 1249.65197
Jia, Jiwei; Hu, Xiaozhe; Xu, Jinchao; Zhang, Chensong
1
2011
Domain decomposition methods in science and engineering XIX. Selected papers based on the presentations at the 19th international conference on domain decoposition (DD19), Zhanjiajie, China, August 17–22, 2009. Zbl 1204.65002
1
2011
Numerical studies of adaptive finite element methods for two dimensional convection-dominated problems. Zbl 1203.65261
Sun, Pengtao; Chen, Long; Xu, Jinchao
17
2010
A generalization of the vertex-centered finite volume scheme to arbitrary high order. Zbl 1207.65128
Vogel, Andreas; Xu, Jinchao; Wittum, Gabriel
10
2010
Convergence of adaptive edge finite element methods for \({\mathbf H}({\mathbf curl})\)-elliptic problems. Zbl 1240.65338
Zhong, Liuqiang; Shu, Shi; Chen, Long; Xu, Jinchao
9
2010
Numerical solution to a mixed Navier-Stokes/Darcy model by the two-grid approach. Zbl 1213.76131
Cai, Mingchao; Mu, Mo; Xu, Jinchao
118
2009
Analysis of linear and quadratic simplicial finite volume methods for elliptic equations. Zbl 1169.65110
Xu, Jinchao; Zou, Qingsong
103
2009
Convergence and optimality of adaptive mixed finite element methods. Zbl 1198.65211
Chen, Long; Holst, Michael; Xu, Jinchao
47
2009
Preconditioning techniques for a mixed Stokes/Darcy model in porous medium applications. Zbl 1172.76023
Cai, Mingchao; Mu, Mo; Xu, Jinchao
46
2009
Optimal multilevel methods for \(H\)(grad), \(H\)(curl), and \(H\)(div) systems on graded and unstructured grids. Zbl 1193.65209
Xu, Jinchao; Chen, Long; Nochetto, Ricardo H.
29
2009
Optimal error estimates for Nédélec edge elements for time-harmonic Maxwell’s equations. Zbl 1212.65467
Zhong, Liuqiang; Shu, Shi; Wittum, Gabriel; Xu, Jinchao
26
2009
Phase field model of thermo-induced Marangoni effects in the mixtures and its numerical simulations with mixed finite element method. Zbl 1364.76097
Sun, Pengtao; Liu, Chun; Xu, Jinchao
19
2009
Fast numerical simulation of two-phase transport model in the cathode of a polymer electrolyte fuel cell. Zbl 1364.82058
Sun, Pengtao; Xue, Guangri; Wang, Chaoyang; Xu, Jinchao
8
2009
Auxiliary space preconditioners for mixed finite element methods. Zbl 1183.65151
Tuminaro, Ray S.; Xu, Jinchao; Zhu, Yunrong
6
2009
A domain decomposition method for two-phase transport model in the cathode of a polymer electrolyte fuel cell. Zbl 1280.76048
Sun, Pengtao; Xue, Guangri; Wang, Chao-Yang; Xu, Jinchao
5
2009
New numerical techniques for a three-dimensional liquid-feed direct methanol fuel cell model. Zbl 1191.82044
Sun, Pengtao; Xue, Guangri; Wang, Chaoyang; Xu, Jinchao
4
2009
Convergence and optimal complexity of adaptive finite element eigenvalue computations. Zbl 1159.65090
Dai, Xiaoying; Xu, Jinchao; Zhou, Aihui
84
2008
Local and parallel finite element algorithms for the Stokes problem. Zbl 1145.65097
He, Yinnian; Xu, Jinchao; Zhou, Aihui; Li, Jian
83
2008
Uniformly-stable finite element methods for Darcy-Stokes-Brinkman models. Zbl 1174.76013
Xie, Xiaoping; Xu, Jinchao; Xue, Guangri
75
2008
...and 93 more Documents
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Cited by 3,658 Authors

98 Xu, Jinchao
74 Huang, Yunqing
57 He, Yinnian
51 Chen, Yanping
51 Zhang, Zhimin
48 Shang, Yueqiang
43 Yang, Yidu
41 Hou, Yanren
40 Zikatanov, Ludmil T.
38 Hu, Jun
35 Hu, Xiaozhe
35 Xie, Hehu
34 Chen, Long
33 Xu, Fei
32 Shu, Shi
30 Brenner, Susanne Cecelia
30 Li, Jian
30 Xu, Xuejun
29 Bi, Hai
27 Du, Guangzhi
27 He, Xiaoming
27 Zou, Qingsong
26 Sun, Pengtao
26 Vassilevski, Panayot Spirov
25 Chen, Jinru
24 Li, Jichun
23 Carstensen, Carsten
23 Feng, Xinlong
22 Bacuta, Constantin
22 Zheng, Haibiao
22 Zhou, Aihui
21 Chen, Chuanjun
21 Chen, Zhangxin
21 Huang, Qiumei
21 Shi, Dongyang
21 Zhang, Shangyou
20 Bramble, James H.
20 Yang, Danping
19 Han, Jiayu
19 Pasciak, Joseph E.
19 Zhang, Shuo
19 Zhang, Tong
19 Zhong, Liuqiang
18 Huang, Jianguo
18 Huang, Pengzhan
18 Oswald, Peter
18 Zou, Jun
18 Zuo, Liyun
17 Huang, Xuehai
17 Kraus, Johannes K.
17 Li, Yonghai
17 Mao, Shipeng
17 Sung, Li-Yeng
16 Griebel, Michael
16 Harbrecht, Helmut
16 Rui, Hongxing
15 Antonietti, Paola Francesca
15 Hong, Qingguo
15 Hu, Qiya
15 Lin, Qun
15 Stevenson, Rob P.
14 Bank, Randolph E.
14 Bi, Chunjia
14 Cai, Zhiqiang
14 Shi, Zhongci
14 Xie, Xiaoping
14 Yang, Wei
14 Zhang, Chensong
13 Dahmen, Wolfgang A.
13 Holst, Michael J.
13 Lee, Youngju
13 Li, Rui
13 Qiu, Weifeng
13 Tai, Xuecheng
13 Wang, Feng
13 Yang, Xiaofeng
12 Hu, Hanzhang
12 Lazarov, Raytcho D.
12 Lin, Yanping
12 Liu, Chun
12 Neilan, Michael
12 Schwab, Christoph
12 Wang, Junping
12 Wang, Yang
12 Wu, Shuonan
12 Yan, Ningning
12 Yi, Nianyu
11 An, Rong
11 Cao, Waixiang
11 Chen, Luoping
11 Chen, Shaochun
11 Führer, Thomas
11 Gatica, Gabriel N.
11 Gunzburger, Max D.
11 Guo, Hailong
11 Hiptmair, Ralf
11 Hu, Kaibo
11 Kwak, Do Young
11 Li, Yuwen
11 MacLachlan, Scott P.
...and 3,558 more Authors
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Cited in 256 Serials

231 Journal of Scientific Computing
217 Journal of Computational Physics
209 Computers & Mathematics with Applications
205 Journal of Computational and Applied Mathematics
197 Computer Methods in Applied Mechanics and Engineering
173 Mathematics of Computation
152 SIAM Journal on Scientific Computing
146 Numerische Mathematik
111 Applied Numerical Mathematics
110 Applied Mathematics and Computation
102 Numerical Methods for Partial Differential Equations
90 SIAM Journal on Numerical Analysis
84 Advances in Computational Mathematics
56 Numerical Algorithms
54 Numerical Linear Algebra with Applications
49 Communications in Computational Physics
47 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
41 International Journal of Computer Mathematics
41 Advances in Applied Mathematics and Mechanics
37 Computational Methods in Applied Mathematics
37 Science China. Mathematics
34 BIT
32 Calcolo
32 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
31 Computing
28 Applied Mathematics Letters
25 Journal of Mathematical Analysis and Applications
24 International Journal of Numerical Analysis and Modeling
23 Computing and Visualization in Science
20 Applications of Mathematics
19 Mathematical Methods in the Applied Sciences
17 Computers and Fluids
17 Linear Algebra and its Applications
17 Computational Geosciences
17 Journal of Numerical Mathematics
17 East Asian Journal on Applied Mathematics
16 International Journal for Numerical Methods in Engineering
16 Applied Mathematics and Mechanics. (English Edition)
16 Mathematical Problems in Engineering
15 Mathematics and Computers in Simulation
15 Abstract and Applied Analysis
14 Applied Mathematical Modelling
14 Computational and Applied Mathematics
14 Communications in Nonlinear Science and Numerical Simulation
14 Discrete and Continuous Dynamical Systems. Series B
14 Multiscale Modeling & Simulation
12 Applicable Analysis
12 RAIRO. Modélisation Mathématique et Analyse Numérique
11 Numerical Functional Analysis and Optimization
10 Journal of Computational Mathematics
10 Constructive Approximation
10 Engineering Analysis with Boundary Elements
10 Acta Numerica
10 Results in Applied Mathematics
9 SIAM Journal on Matrix Analysis and Applications
9 ETNA. Electronic Transactions on Numerical Analysis
9 Journal of Applied Mathematics and Computing
9 Electronic Research Archive
8 Acta Mathematicae Applicatae Sinica. English Series
8 Science in China. Series A
8 Comptes Rendus. Mathématique. Académie des Sciences, Paris
7 Journal of Approximation Theory
7 Computational Mechanics
7 Communications in Numerical Methods in Engineering
7 Research in the Mathematical Sciences
6 Journal of Differential Equations
6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
6 Foundations of Computational Mathematics
6 Advances in Difference Equations
6 SMAI Journal of Computational Mathematics
6 Communications on Applied Mathematics and Computation
5 International Journal for Numerical Methods in Fluids
5 Inverse Problems
5 Applied and Computational Harmonic Analysis
5 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
5 Mathematical Modelling and Analysis
5 International Journal of Computational Methods
4 Computer Physics Communications
4 International Journal of Engineering Science
4 SIAM Journal on Control and Optimization
4 Neural Networks
4 Computational Mathematics and Mathematical Physics
4 Computational Optimization and Applications
4 Applied Mathematics. Series B (English Edition)
4 Journal of Inequalities and Applications
4 Journal of Systems Science and Complexity
4 Acta Mathematica Scientia. Series B. (English Edition)
4 Central European Journal of Mathematics
4 Analysis and Applications (Singapore)
4 Boundary Value Problems
4 Inverse Problems and Imaging
4 Molecular Based Mathematical Biology
4 AMM. Applied Mathematics and Mechanics. (English Edition)
3 Journal of Engineering Mathematics
3 ACM Transactions on Mathematical Software
3 Acta Applicandae Mathematicae
3 Computer Aided Geometric Design
3 COMPEL
3 Journal of Integral Equations and Applications
3 European Journal of Applied Mathematics
...and 156 more Serials
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Cited in 47 Fields

3,165 Numerical analysis (65-XX)
1,661 Partial differential equations (35-XX)
911 Fluid mechanics (76-XX)
297 Mechanics of deformable solids (74-XX)
188 Optics, electromagnetic theory (78-XX)
137 Calculus of variations and optimal control; optimization (49-XX)
126 Computer science (68-XX)
82 Approximations and expansions (41-XX)
61 Biology and other natural sciences (92-XX)
51 Statistical mechanics, structure of matter (82-XX)
47 Operations research, mathematical programming (90-XX)
40 Operator theory (47-XX)
38 Linear and multilinear algebra; matrix theory (15-XX)
36 Probability theory and stochastic processes (60-XX)
32 Ordinary differential equations (34-XX)
28 Geophysics (86-XX)
27 Real functions (26-XX)
27 Integral equations (45-XX)
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26 Potential theory (31-XX)
26 Global analysis, analysis on manifolds (58-XX)
25 Harmonic analysis on Euclidean spaces (42-XX)
24 Functional analysis (46-XX)
24 Information and communication theory, circuits (94-XX)
23 Classical thermodynamics, heat transfer (80-XX)
14 Dynamical systems and ergodic theory (37-XX)
12 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
11 Combinatorics (05-XX)
11 Quantum theory (81-XX)
11 Systems theory; control (93-XX)
7 Convex and discrete geometry (52-XX)
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5 Special functions (33-XX)
4 History and biography (01-XX)
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4 Astronomy and astrophysics (85-XX)
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2 Difference and functional equations (39-XX)
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2 Relativity and gravitational theory (83-XX)
1 Functions of a complex variable (30-XX)
1 Sequences, series, summability (40-XX)
1 Geometry (51-XX)
1 Algebraic topology (55-XX)

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