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Xu, Jinchao

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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
Documents Indexed: 195 Publications since 1982, including 6 Books
all top 5

Co-Authors

17 single-authored
23 Zikatanov, Ludmil T.
15 Chen, Long
14 Hu, Xiaozhe
14 Shu, Shi
13 Zhang, Chensong
12 Sun, Pengtao
11 Bramble, James H.
9 Lee, Youngju
8 Zhou, Aihui
7 Bank, Randolph E.
7 Pasciak, Joseph E.
7 Wu, Shuonan
6 Wu, Jinbiao
5 Hong, Qingguo
5 Huang, Yunqing
5 Wang, Ming
4 He, Juncai
4 Hu, Kaibo
4 Wu, Shuhong
4 Xue, Guangri
4 Zhang, Shuo
4 Zhong, Liuqiang
4 Zhu, Yunrong
3 Bacuta, Constantin
3 Feng, Chunsheng
3 Holst, Michael J.
3 Hu, Jun
3 Liu, Chun
3 Mu, Mo
3 Nochetto, Ricardo Horacio
3 Shi, Zhongci
3 Wang, Chaoyang
3 Widlund, Olof B.
3 Wittum, Gabriel
3 Xiao, Yingxiong
3 Xie, Xiaoping
3 Yang, Kai
3 Zhang, Lixiang
3 Zheng, Bin
2 Bousquet, Arthur
2 Cai, Mingchao
2 Chan, Tony Fan-Cheong
2 Gong, Shihua
2 He, Yinnian
2 Hiptmair, Ralf
2 Kim, Hwanho
2 Knyazev, Andrew V.
2 Kornhuber, Ralf
2 Li, Zheng
2 Lin, Qun
2 Ma, Yicong
2 Mehrmann, Volker
2 Metti, Maximilian S.
2 Ming, Wang
2 Tai, Xuecheng
2 Vassilevski, Panayot Spirov
2 Wang, Junping
2 Ying, Longan
1 Ayuso de Dios, Blanca
1 Babuška, Ivo
1 Brezzi, Franco
1 Caflisch, Russel E.
1 Cai, Xiao-Chuan
1 Carsel, Robert
1 Chen, Luoping
1 Cheng, Hwai-Ping
1 Cheng, Jing-Ru C.
1 Cho, Durkbin
1 Cui, Tao
1 Dai, Xiaoying
1 Glowinski, Roland
1 Grasedyck, Lars
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 Keyes, David Elliot
1 Kim, Kyungjoo
1 Kolev, Tzanio V.
1 Kraus, Johannes K.
1 Laguna, Pablo
1 Li, Jian
1 Li, Kun
1 Li, Ming-Hsu
1 Li, Qiaoyun
1 Li, Yukun
1 Liu, Chunmei
1 Marini, Luisa Donatella
1 Marion, Martine
1 Maxey, Martin R.
1 Osborn, John E.
1 Parks, Michael L.
1 Perego, Mauro
1 Périaux, Jacques F.
1 Pironneau, Olivier
...and 40 more Co-Authors
all top 5

Serials

28 Mathematics of Computation
16 Numerische Mathematik
15 Journal of Computational Mathematics
14 SIAM Journal on Numerical Analysis
7 Journal of Computational Physics
7 Journal of Scientific Computing
6 Computer Methods in Applied Mechanics and Engineering
6 SIAM Journal on Scientific Computing
5 Numerical Linear Algebra with Applications
4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
4 Computing and Visualization in Science
4 Science China. Mathematics
3 Advances in Computational Mathematics
3 Lecture Notes in Computational Science and Engineering
2 Computing
2 Journal of Computational and Applied Mathematics
2 Mathematica Numerica Sinica
2 SIAM Journal on Matrix Analysis and Applications
2 SIAM Review
2 Journal of Numerical Mathematics
2 Oberwolfach Reports
2 Communications in Computational Physics
2 Numerical Mathematics: Theory, Methods and Applications
1 Classical and Quantum Gravity
1 Computers and Fluids
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 Journal of the American Mathematical Society
1 Neural Networks
1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
1 SIAM Journal on Applied Mathematics
1 Computational Optimization and Applications
1 Methods and Applications of Analysis
1 Journal on Numerical Methods and Computer Applications
1 Journal of Applied Mechanics and Technical Physics
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
1 Advances in Applied Mathematics and Mechanics
1 Research in the Mathematical Sciences

Publications by Year

Citations contained in zbMATH Open

172 Publications have been cited 4,540 times in 2,533 Documents Cited by Year
Iterative methods by space decomposition and subspace correction. Zbl 0788.65037
Xu, Jinchao
383
1992
Two-grid discretization techniques for linear and nonlinear PDEs. Zbl 0860.65119
Xu, Jinchao
296
1996
A novel two-grid method for semilinear elliptic equations. Zbl 0795.65077
Xu, Jinchao
233
1994
Parallel multilevel preconditioners. Zbl 0703.65076
Bramble, James H.; Pasciak, Joseph E.; Xu, Jinchao
136
1990
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
114
2007
A two-grid discretization scheme for eigenvalue problems. Zbl 0959.65119
Xu, Jinchao; Zhou, Aihui
111
2001
The method of alternating projections and the method of subspace corrections in Hilbert space. Zbl 0999.47015
Xu, Jinchao; Zikatanov, Ludmil
99
2002
Nodal auxiliary space preconditioning in H(curl) and H(div) spaces. Zbl 1153.78006
Hiptmair, Ralf; Xu, Jinchao
92
2007
Local and parallel finite element algorithms based on two-grid discretizations. Zbl 0948.65122
Xu, Jinchao; Zhou, Aihui
91
2000
A monotone finite element scheme for convection-diffusion equations. Zbl 0931.65111
Xu, Jinchao; Zikatanov, Ludmil
88
1999
Asymptotically exact a posteriori error estimators. I: Grids with superconvergence. Zbl 1058.65116
Bank, Randolph E.; Xu, Jinchao
82
2003
Some observations on Babuška and Brezzi theories. Zbl 1028.65115
Xu, Jinchao; Zikatanov, Ludmil
79
2003
Error estimates on a new nonlinear Galerkin method based on two-grid finite elements. Zbl 0853.65092
Marion, Martine; Xu, Jinchao
77
1995
Analysis of linear and quadratic simplicial finite volume methods for elliptic equations. Zbl 1169.65110
Xu, Jinchao; Zou, Qingsong
76
2009
Some nonoverlapping domain decomposition methods. Zbl 0913.65115
Xu, Jinchao; Zou, Jun
75
1998
Convergence estimates for multigrid algorithms without regularity assumptions. Zbl 0727.65101
Bramble, James H.; Pasciak, Joseph E.; Wang, Junping; Xu, Jinchao
74
1991
Numerical solution to a mixed Navier-Stokes/Darcy model by the two-grid approach. Zbl 1213.76131
Cai, Mingchao; Mu, Mo; Xu, Jinchao
73
2009
Analysis of recovery type a posteriori error estimators for mildly structured grids. Zbl 1050.65103
Xu, Jinchao; Zhang, Zhimin
69
2004
Convergence estimates for product iterative methods with applications to domain decomposition. Zbl 0754.65085
Bramble, James H.; Pasciak, Joseph E.; Wang, Junping; Xu, Jinchao
69
1991
Some estimates for a weighted \(L^ 2\) projection. Zbl 0722.65057
Bramble, James H.; Xu, Jinchao
66
1991
Convergence and optimal complexity of adaptive finite element eigenvalue computations. Zbl 1159.65090
Dai, Xiaoying; Xu, Jinchao; Zhou, Aihui
64
2008
The auxiliary space method and optimal multigrid preconditioning techniques for unstructured grids. Zbl 0857.65129
Xu, J.
62
1996
Uniformly-stable finite element methods for Darcy-Stokes-Brinkman models. Zbl 1174.76013
Xie, Xiaoping; Xu, Jinchao; Xue, Guangri
57
2008
A new class of iterative methods for nonselfadjoint or indefinite problems. Zbl 0756.65050
Xu, Jinchao
57
1992
The analysis of multigrid algorithms with nonnested spaces or noninherited quadratic forms. Zbl 0718.65081
Bramble, James H.; Pasciak, Joseph E.; Xu, Jinchao
56
1991
Local and parallel finite element algorithms based on two-grid discretizations for nonlinear problems. Zbl 0990.65128
Xu, Jinchao; Zhou, Aihui
55
2001
Local and parallel finite element algorithms for the Stokes problem. Zbl 1145.65097
He, Yinnian; Xu, Jinchao; Zhou, Aihui; Li, Jian
54
2008
Asymptotically exact a posteriori error estimators. II: General unstructured grids. Zbl 1058.65117
Bank, Randolph E.; Xu, Jinchao
49
2003
The Morley element for fourth order elliptic equations in any dimensions. Zbl 1092.65103
Ming, Wang; Xu, Jinchao
47
2006
Local and parallel finite element algorithms for the Navier-Stokes problem. Zbl 1093.76035
He, Yinnian; Xu, Jinchao; Zhou, Aihui
46
2006
Global and uniform convergence of subspace correction methods for some convex optimization problems. Zbl 0985.65065
Tai, Xue-Cheng; Xu, Jinchao
42
2002
Parallel multilevel preconditioners. Zbl 0725.65095
Bramble, J. H.; Pasciak, J. E.; Xu, J.
41
1990
Convergence and optimality of adaptive mixed finite element methods. Zbl 1198.65211
Chen, Long; Holst, Michael; Xu, Jinchao
40
2009
Local and parallel finite element algorithms for eigenvalue problems. Zbl 1015.65060
Xu, Jinchao; Zhou, Aihui
38
2002
Preconditioning techniques for a mixed Stokes/Darcy model in porous medium applications. Zbl 1172.76023
Cai, Mingchao; Mu, Mo; Xu, Jinchao
37
2009
Optimal anisotropic meshes for minimizing interpolation errors in \(L^p\)-norms. Zbl 1106.41013
Chen, Long; Sun, Pengtao; Xu, Jingchao
36
2007
The finite element approximation of the nonlinear Poisson-Boltzmann equation. Zbl 1152.65478
Chen, Long; Holst, Michael J.; Xu, Jinchao
36
2007
Uniform convergent multigrid methods for elliptic problems with strongly discontinuous coefficients. Zbl 1151.65097
Xu, Jinchao; Zhu, Yunrong
34
2008
Galerkin-wavelet methods for two-point boundary value problems. Zbl 0771.65050
Xu, Jin-Chao; Shann, Wei-Chang
33
1992
A new class of Zienkiewicz-type non-conforming element in any dimensions. Zbl 1118.65124
Wang, Ming; Shi, Zhong-ci; Xu, Jinchao
30
2007
Superconvergence of quadratic finite elements on mildly structured grids. Zbl 1195.65193
Huang, Yunqing; Xu, Jinchao
28
2008
Some \(n\)-rectangle nonconforming elements for fourth order elliptic equations. Zbl 1142.65451
Wang, Ming; Shi, Zhongci; Xu, Jinchao
28
2007
An algorithm for coarsening unstructured meshes. Zbl 0857.65034
Bank, Randolph E.; Xu, Jinchao
27
1996
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
27
2012
Optimal Delaunay triangulations. Zbl 1048.65020
Chen, Long; Xu, Jinchao
26
2004
Minimal finite element spaces for \(2m\)-th-order partial differential equations in \(\mathbb{R}^n\). Zbl 1264.65199
Wang, Ming; Xu, Jinchao
26
2013
The analysis of multigrid algorithms for nonsymmetric and indefinite elliptic problems. Zbl 0699.65075
Bramble, James H.; Pasciak, Joseph E.; Xu, Jinchao
26
1988
Linear finite elements with high accuracy. Zbl 0577.65094
Lin, Qun; Xu, Jinchao
25
1985
An agglomeration multigrid method for unstructured grids. Zbl 0909.65102
Chan, Tony F.; Xu, Jinchao; Zikatanov, Ludmil
24
1998
New formulations, positivity preserving discretizations and stability analysis for non-Newtonian flow models. Zbl 1176.76068
Lee, Young-Ju; Xu, Jinchao
24
2006
Regularity estimates for elliptic boundary value problems in Besov spaces. Zbl 1031.65133
Bacuta, Constantin; Bramble, James H.; Xu, Jinchao
23
2003
Modified Morley element method for a fourth order elliptic singular perturbation problem. Zbl 1102.65118
Wang, Ming; Xu, Jin-chao; Hu, Yucheng
23
2006
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.
23
2009
Stable finite element methods preserving \(\nabla \cdot \boldsymbol{B}=0\) exactly for MHD models. Zbl 1381.76174
Hu, Kaibo; Ma, Yicong; Xu, Jinchao
23
2017
A two-grid discretization method for decoupling systems of partial differential equations. Zbl 1119.65117
Jin, Jicheng; Shu, Shi; Xu, Jinchao
22
2006
On an energy minimizing basis for algebraic multigrid methods. Zbl 1077.65130
Xu, Jinchao; Zikatanov, Ludmil
22
2004
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
22
1989
Lower bounds of the discretization error for piecewise polynomials. Zbl 1280.65118
Lin, Qun; Xie, Hehu; Xu, Jinchao
22
2014
Convergence and optimality of the adaptive Morley element method. Zbl 1255.65212
Hu, Jun; Shi, Zhongci; Xu, Jinchao
21
2012
Algebraic multigrid methods. Zbl 1378.65182
Xu, Jinchao; Zikatanov, Ludmil
21
2017
Robust preconditioners for incompressible MHD models. Zbl 1349.76629
Ma, Yicong; Hu, Kaibo; Hu, Xiaozhe; Xu, Jinchao
21
2016
Superconvergent derivative recovery for Lagrange triangular elements of degree \(p\) on unstructured grids. Zbl 1156.65091
Bank, Randolph E.; Xu, Jinchao; Zheng, Bin
20
2007
Optimal error estimates for Nédélec edge elements for time-harmonic Maxwell’s equations. Zbl 1212.65467
Zhong, Liuqiang; Shu, Shi; Wittum, Gabriel; Xu, Jinchao
20
2009
A multigrid method based on graph matching for convection-diffusion equations. Zbl 1071.65167
Kim, HwanHo; Xu, Jinchao; Zikatanov, Ludmil
20
2003
An introduction to multilevel methods. Zbl 0903.65095
Xu, Jinchao
19
1997
Nonconforming tetrahedral finite elements for fourth order elliptic equations. Zbl 1125.65105
Ming, Wang; Xu, Jinchao
19
2007
Robust subspace correction methods for nearly singular systems. Zbl 1151.65096
Lee, Young-Ju; Wu, Jinbiao; Xu, Jinchao; Zikatanov, Ludmil
19
2007
A local post-processing technique for improving the accuracy in mixed finite-element approximations. Zbl 0688.65061
Bramble, James H.; Xu, Jinchao
17
1989
The method of subspace corrections. Zbl 0983.65133
Xu, Jinchao
16
2001
Numerical studies of adaptive finite element methods for two dimensional convection-dominated problems. Zbl 1203.65261
Sun, Pengtao; Chen, Long; Xu, Jinchao
16
2010
A preconditioned GMRES method for nonsymmetric or indefinite problems. Zbl 0766.65034
Xu, Jinchao; Cai, Xiao-Chuan
16
1992
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
16
2009
A conforming finite element method for overlapping and nonmatching grids. Zbl 1019.65090
Huang, Yunqing; Xu, Jinchao
15
2003
Two-grid methods for time-harmonic Maxwell equations. Zbl 1289.78014
Zhong, Liuqiang; Shu, Shi; Wang, Junxian; Xu, J.
15
2013
A nonconforming finite element method for fourth order curl equations in \(\mathbb R^3\). Zbl 1227.78024
Zheng, Bin; Hu, Qiya; Xu, Jinchao
15
2011
Optimal multilevel methods for graded bisection grids. Zbl 1235.65144
Chen, Long; Nochetto, Ricardo H.; Xu, Jinchao
15
2012
Stability and accuracy of adapted finite element methods for singularly perturbed problems. Zbl 1146.65059
Chen, Long; Xu, Jinchao
15
2008
Convergence and optimality of the adaptive nonconforming linear element method for the Stokes problem. Zbl 1273.76274
Hu, Jun; Xu, Jinchao
15
2013
Energetically stable discretizations for charge transport and electrokinetic models. Zbl 1351.78040
Metti, Maximilian S.; Xu, Jinchao; Liu, Chun
15
2016
Regularity estimates for elliptic boundary value problems with smooth data on polygonal domains. Zbl 1050.65108
Bacuta, C.; Bramble, J. H.; Xu, J.
14
2003
A discontinuous Galerkin method for the fourth-order curl problem. Zbl 1289.76053
Hong, Qingguo; Hu, Jun; Shu, Shi; Xu, Jinchao
14
2012
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
13
2015
On the convergence of iterative methods for semidefinite linear systems. Zbl 1122.65033
Lee, Young-Ju; Wu, Jinbiao; Xu, Jinchao; Zikatanov, Ludmil
13
2006
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
13
2019
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
12
2016
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
12
2014
An introduction to multigrid convergence theory. Zbl 0938.65142
Xu, Jinchao
11
1997
Optimal solvers for fourth-order PDEs discretized on unstructured grids. Zbl 1293.65160
Zhang, Shuo; Xu, Jinchao
11
2014
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
11
2008
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
11
2007
A unified study of continuous and discontinuous Galerkin methods. Zbl 1412.65214
Hong, Qingguo; Wang, Fei; Wu, Shuonan; Xu, Jinchao
9
2019
Preconditioning the Poincaré-Steklov operator by using Green’s function. Zbl 0854.65100
Xu, Jinchao; Zhang, Sheng
8
1997
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
The hierarchical basis multigrid method and incomplete LU decomposition. Zbl 0817.65103
Bank, Randolph E.; Xu, Jinchao
7
1994
Counterexamples concerning a weighted \(L^ 2\) projection. Zbl 0738.65085
Xu, Jinchao
7
1991
On the well-posedness of a mathematical model for lithium-ion battery systems. Zbl 1135.35300
Wu, Jinbiao; Xu, Jinchao; Zou, Henghui
7
2006
New estimates for the rate of convergence of the method of subspace corrections. Zbl 1174.65354
Cho, Durkbin; Xu, Jinchao; Zikatanov, Ludmil
7
2008
A generalization of the vertex-centered finite volume scheme to arbitrary high order. Zbl 1207.65128
Vogel, Andreas; Xu, Jinchao; Wittum, Gabriel
7
2010
An algebraic multigrid method for higher-order finite element discretizations. Zbl 1127.65092
Shu, S.; Sun, D.; Xu, J.
7
2006
Multilevel homotopic adaptive finite element methods for convection dominated problems. Zbl 1067.65122
Chen, Long; Sun, Pengtao; Xu, Jinchao
6
2005
Uniform stability and error analysis for some discontinuous Galerkin methods. Zbl 07366097
Hong, Qingguo; Xu, Jinchao
1
2021
High-order extended finite element methods for solving interface problems. Zbl 1442.74243
Xiao, Yuanming; Xu, Jinchao; Wang, Fei
5
2020
A mixed discontinuous Galerkin method for linear elasticity with strongly imposed symmetry. Zbl 1435.65211
Wang, Fei; Wu, Shuonan; Xu, Jinchao
3
2020
ReLU deep neural networks and linear finite elements. Zbl 1463.68072
He, Juncai; Li, Lin; Xu, Jinchao; Zheng, Chunyue
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
13
2019
A unified study of continuous and discontinuous Galerkin methods. Zbl 1412.65214
Hong, Qingguo; Wang, Fei; Wu, Shuonan; Xu, Jinchao
9
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
5
2019
New hybridized mixed methods for linear elasticity and optimal multilevel solvers. Zbl 1412.65211
Gong, Shihua; Wu, Shuonan; Xu, Jinchao
4
2019
Structure-preserving finite element methods for stationary MHD models. Zbl 1405.65151
Hu, Kaibo; Xu, Jinchao
4
2019
Mgnet: A unified framework of multigrid and convolutional neural network. Zbl 07089584
He, Juncai; Xu, Jinchao
2
2019
Newton solvers for drift-diffusion and electrokinetic equations. Zbl 1448.65151
Bousquet, Arthur; Hu, Xiaozhe; Metti, Maximilian S.; Xu, Jinchao
2
2018
Stable finite element methods preserving \(\nabla \cdot \boldsymbol{B}=0\) exactly for MHD models. Zbl 1381.76174
Hu, Kaibo; Ma, Yicong; Xu, Jinchao
23
2017
Algebraic multigrid methods. Zbl 1378.65182
Xu, Jinchao; Zikatanov, Ludmil
21
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
6
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
6
2017
An error-resilient redundant subspace correction method. Zbl 1364.65275
Cui, Tao; Xu, Jinchao; Zhang, Chen-Song
5
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
Analytical decoupling techniques for fully implicit reservoir simulation. Zbl 1375.76187
Qiao, Changhe; Wu, Shuhong; Xu, Jinchao; Zhang, Chen-Song
1
2017
Robust preconditioners for incompressible MHD models. Zbl 1349.76629
Ma, Yicong; Hu, Kaibo; Hu, Xiaozhe; Xu, Jinchao
21
2016
Energetically stable discretizations for charge transport and electrokinetic models. Zbl 1351.78040
Metti, Maximilian S.; Xu, Jinchao; Liu, Chun
15
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
12
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
6
2016
A nearly optimal multigrid method for general unstructured grids. Zbl 1356.65241
Grasedyck, Lars; Wang, Lu; Xu, Jinchao
3
2016
Optimal finite element methods for interface problems. Zbl 1339.65224
Xu, Jinchao; Zhang, Shuo
2
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
Multilevel preconditioners for reaction-diffusion problems with discontinuous coefficients. Zbl 1353.65131
Kolev, Tzanio V.; Xu, Jinchao; Zhu, Yunrong
1
2016
Modeling and simulations for fluid and rotating structure interactions. Zbl 1439.74119
Yang, Kai; Sun, Pengtao; Wang, Lu; Xu, Jinchao; Zhang, Lixiang
1
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
13
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.
6
2015
Well-posedness and robust preconditioners for discretized fluid-structure interaction systems. Zbl 1423.74936
Xu, Jinchao; Yang, Kai
5
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
4
2015
Lower bounds of the discretization error for piecewise polynomials. Zbl 1280.65118
Lin, Qun; Xie, Hehu; Xu, Jinchao
22
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
12
2014
Optimal solvers for fourth-order PDEs discretized on unstructured grids. Zbl 1293.65160
Zhang, Shuo; Xu, Jinchao
11
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
6
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
Numerical study of geometric multigrid methods on CPU-GPU heterogeneous computers. Zbl 1305.78016
Feng, Chunsheng; Shu, Shi; Xu, Jinchao; Zhang, Chen-Song
2
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
26
2013
Two-grid methods for time-harmonic Maxwell equations. Zbl 1289.78014
Zhong, Liuqiang; Shu, Shi; Wang, Junxian; Xu, J.
15
2013
Convergence and optimality of the adaptive nonconforming linear element method for the Stokes problem. Zbl 1273.76274
Hu, Jun; Xu, Jinchao
15
2013
Comparative convergence analysis of nonlinear AMLI-cycle multigrid. Zbl 1276.65089
Hu, Xiaozhe; Vassilevski, Panayot S.; Xu, Jinchao
6
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
5
2013
A parallel auxiliary grid algebraic multigrid method for graphic processing units. Zbl 1275.65021
Wang, Lu; Hu, Xiaozhe; Cohen, Jonathan; Xu, Jinchao
4
2013
Application of auxiliary space preconditioning in field-scale reservoir simulation. Zbl 1305.86001
Hu, Xiaozhe; Xu, Jinchao; Zhang, Chensong
4
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
Bank, Randolph; Holst, Michael; Widlund, Olof; Xu, Jinchao
1
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.
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
27
2012
Convergence and optimality of the adaptive Morley element method. Zbl 1255.65212
Hu, Jun; Shi, Zhongci; Xu, Jinchao
21
2012
Optimal multilevel methods for graded bisection grids. Zbl 1235.65144
Chen, Long; Nochetto, Ricardo H.; Xu, Jinchao
15
2012
A discontinuous Galerkin method for the fourth-order curl problem. Zbl 1289.76053
Hong, Qingguo; Hu, Jun; Shu, Shi; Xu, Jinchao
14
2012
Convergence analysis of \(V\)-cycle multigrid methods for anisotropic elliptic equations. Zbl 1258.65093
Wu, Yongke; Chen, Long; Xie, Xiaoping; Xu, Jinchao
4
2012
Fully discrete semi-Lagrangian methods for advection of differential forms. Zbl 1267.65130
Heumann, Holger; Hiptmair, Ralf; Li, Kun; Xu, Jinchao
2
2012
A nonconforming finite element method for fourth order curl equations in \(\mathbb R^3\). Zbl 1227.78024
Zheng, Bin; Hu, Qiya; Xu, Jinchao
15
2011
New mixed finite elements for plane elasticity and Stokes equations. Zbl 1235.74324
Xie, XiaoPing; Xu, JinChao
6
2011
Fast Poisson-based solvers for linear and nonlinear PDEs. Zbl 1228.65233
Xu, Jinchao
6
2011
Handbook of numerical analysis. Vol XVI. Special Volume: Numerical methods for non-Newtonian fluids. Zbl 1216.76001
Glowinski, Roland; Xu, Jinchao
3
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
1
2011
Stable finite element discretizations for viscoelastic flow models. Zbl 1318.76010
Lee, Young-Ju; Xu, Jinchao; Zhang, Chen-Song
1
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
Huang, Yunqing; Kornhuber, Ralf; Widlund, Olof; Xu, Jinchao
1
2011
Numerical studies of adaptive finite element methods for two dimensional convection-dominated problems. Zbl 1203.65261
Sun, Pengtao; Chen, Long; Xu, Jinchao
16
2010
A generalization of the vertex-centered finite volume scheme to arbitrary high order. Zbl 1207.65128
Vogel, Andreas; Xu, Jinchao; Wittum, Gabriel
7
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
5
2010
Analysis of linear and quadratic simplicial finite volume methods for elliptic equations. Zbl 1169.65110
Xu, Jinchao; Zou, Qingsong
76
2009
Numerical solution to a mixed Navier-Stokes/Darcy model by the two-grid approach. Zbl 1213.76131
Cai, Mingchao; Mu, Mo; Xu, Jinchao
73
2009
Convergence and optimality of adaptive mixed finite element methods. Zbl 1198.65211
Chen, Long; Holst, Michael; Xu, Jinchao
40
2009
Preconditioning techniques for a mixed Stokes/Darcy model in porous medium applications. Zbl 1172.76023
Cai, Mingchao; Mu, Mo; Xu, Jinchao
37
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.
23
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
20
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
16
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
5
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
4
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
64
2008
Uniformly-stable finite element methods for Darcy-Stokes-Brinkman models. Zbl 1174.76013
Xie, Xiaoping; Xu, Jinchao; Xue, Guangri
57
2008
Local and parallel finite element algorithms for the Stokes problem. Zbl 1145.65097
He, Yinnian; Xu, Jinchao; Zhou, Aihui; Li, Jian
54
2008
Uniform convergent multigrid methods for elliptic problems with strongly discontinuous coefficients. Zbl 1151.65097
Xu, Jinchao; Zhu, Yunrong
34
2008
Superconvergence of quadratic finite elements on mildly structured grids. Zbl 1195.65193
Huang, Yunqing; Xu, Jinchao
28
2008
Stability and accuracy of adapted finite element methods for singularly perturbed problems. Zbl 1146.65059
Chen, Long; Xu, Jinchao
15
2008
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
11
2008
New estimates for the rate of convergence of the method of subspace corrections. Zbl 1174.65354
Cho, Durkbin; Xu, Jinchao; Zikatanov, Ludmil
7
2008
Convergence analysis of iterative methods for semidefinite systems. Zbl 1174.65013
Wu, Jinbiao; Lee, Youngju; Xu, Jinchao; Zikatanov, Ludmil
1
2008
Optimal algorithms for discretized partial differential equations. Zbl 1180.65156
Xu, Jinchao
1
2008
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
114
2007
Nodal auxiliary space preconditioning in H(curl) and H(div) spaces. Zbl 1153.78006
Hiptmair, Ralf; Xu, Jinchao
92
2007
Optimal anisotropic meshes for minimizing interpolation errors in \(L^p\)-norms. Zbl 1106.41013
Chen, Long; Sun, Pengtao; Xu, Jingchao
36
2007
The finite element approximation of the nonlinear Poisson-Boltzmann equation. Zbl 1152.65478
Chen, Long; Holst, Michael J.; Xu, Jinchao
36
2007
A new class of Zienkiewicz-type non-conforming element in any dimensions. Zbl 1118.65124
Wang, Ming; Shi, Zhong-ci; Xu, Jinchao
30
2007
Some \(n\)-rectangle nonconforming elements for fourth order elliptic equations. Zbl 1142.65451
Wang, Ming; Shi, Zhongci; Xu, Jinchao
28
2007
Superconvergent derivative recovery for Lagrange triangular elements of degree \(p\) on unstructured grids. Zbl 1156.65091
Bank, Randolph E.; Xu, Jinchao; Zheng, Bin
20
2007
Nonconforming tetrahedral finite elements for fourth order elliptic equations. Zbl 1125.65105
Ming, Wang; Xu, Jinchao
19
2007
Robust subspace correction methods for nearly singular systems. Zbl 1151.65096
Lee, Young-Ju; Wu, Jinbiao; Xu, Jinchao; Zikatanov, Ludmil
19
2007
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
11
2007
The Morley element for fourth order elliptic equations in any dimensions. Zbl 1092.65103
Ming, Wang; Xu, Jinchao
47
2006
Local and parallel finite element algorithms for the Navier-Stokes problem. Zbl 1093.76035
He, Yinnian; Xu, Jinchao; Zhou, Aihui
46
2006
New formulations, positivity preserving discretizations and stability analysis for non-Newtonian flow models. Zbl 1176.76068
Lee, Young-Ju; Xu, Jinchao
24
2006
Modified Morley element method for a fourth order elliptic singular perturbation problem. Zbl 1102.65118
Wang, Ming; Xu, Jin-chao; Hu, Yucheng
23
2006
...and 72 more Documents
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Cited by 2,610 Authors

77 Xu, Jinchao
51 Huang, Yunqing
47 He, Yinnian
40 Zhang, Zhimin
36 Hou, Yanren
35 Yang, Yidu
34 Chen, Yanping
34 Zikatanov, Ludmil T.
33 Xie, Hehu
32 Chen, Long
29 Shang, Yueqiang
28 Brenner, Susanne Cecelia
27 Hu, Xiaozhe
27 Xu, Xuejun
25 Vassilevski, Panayot Spirov
24 Bi, Hai
24 Hu, Jun
24 Shu, Shi
23 Zou, Qingsong
22 Li, Jian
21 Bacuta, Constantin
21 Feng, Xinlong
20 Bramble, James H.
20 Yang, Danping
20 Zhou, Aihui
19 Li, Jichun
19 Sun, Pengtao
18 Shi, Dongyang
17 Chen, Zhangxin
17 Pasciak, Joseph E.
17 Zou, Jun
16 Carstensen, Carsten
16 Chen, Jinru
16 Griebel, Michael
16 Zheng, Haibiao
15 Huang, Pengzhan
15 Lin, Qun
15 Zhang, Shangyou
15 Zuo, Liyun
14 Bi, Chunjia
14 Du, Guangzhi
14 Harbrecht, Helmut
14 He, Xiaoming
14 Shi, Zhongci
14 Zhang, Shuo
13 Chen, Chuanjun
13 Hu, Qiya
13 Oswald, Peter
13 Rui, Hongxing
12 Han, Jiayu
12 Hiptmair, Ralf
12 Huang, Qiumei
12 Huang, Xuehai
12 Kraus, Johannes K.
12 Neilan, Michael
12 Wang, Cheng
11 Antonietti, Paola Francesca
11 Gatica, Gabriel N.
11 Gunzburger, Max D.
11 Holst, Michael J.
11 Lee, Youngju
11 Mao, Shipeng
11 Stevenson, Rob P.
11 Xie, Xiaoping
11 Zeng, Jinping
11 Zhong, Liuqiang
10 Bank, Randolph E.
10 Chen, Shaochun
10 Dahmen, Wolfgang A.
10 Demlow, Alan
10 Křížek, Michal
10 Lazarov, Raytcho D.
10 Li, Likang
10 Li, Yonghai
10 Lin, Yanping
10 Liu, Chun
10 Praetorius, Dirk
10 Sayas, Francisco-Javier
10 Tai, Xuecheng
10 Wang, Junping
10 Wittum, Gabriel
10 Yan, Ningning
10 Zhang, Chensong
10 Zhang, Yu
10 Zhao, Xin
9 An, Rong
9 Franz, Sebastian
9 Huang, Jianguo
9 Li, Hengguang
9 Li, Kaitai
9 Nistor, Victor
9 Peterseim, Daniel
9 Sauter, Stefan A.
9 Yang, Wei
9 Yserentant, Harry
9 Zhang, Jiansong
8 Ainsworth, Mark
8 Axelsson, Axel Owe Holger
8 Cai, Zhiqiang
8 Cao, Waixiang
...and 2,510 more Authors
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Cited in 207 Serials

174 Journal of Scientific Computing
167 Journal of Computational and Applied Mathematics
156 Mathematics of Computation
146 Computer Methods in Applied Mechanics and Engineering
139 Numerische Mathematik
136 Computers & Mathematics with Applications
114 Journal of Computational Physics
113 SIAM Journal on Scientific Computing
99 Applied Mathematics and Computation
94 Applied Numerical Mathematics
69 Advances in Computational Mathematics
68 Numerical Methods for Partial Differential Equations
65 SIAM Journal on Numerical Analysis
54 Numerical Linear Algebra with Applications
41 Numerical Algorithms
31 Computing
31 Science China. Mathematics
30 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
29 BIT
27 Calcolo
23 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
22 International Journal of Computer Mathematics
22 Computational Methods in Applied Mathematics
20 Journal of Mathematical Analysis and Applications
18 Applications of Mathematics
17 Linear Algebra and its Applications
16 Applied Mathematics and Mechanics. (English Edition)
15 Computers and Fluids
15 Mathematical Methods in the Applied Sciences
15 Applied Mathematics Letters
15 Computational Geosciences
15 Journal of Numerical Mathematics
14 Mathematical Problems in Engineering
14 Computing and Visualization in Science
14 Abstract and Applied Analysis
13 International Journal for Numerical Methods in Engineering
12 Mathematics and Computers in Simulation
12 RAIRO. Modélisation Mathématique et Analyse Numérique
12 Multiscale Modeling & Simulation
11 Numerical Functional Analysis and Optimization
10 Applied Mathematical Modelling
10 Engineering Analysis with Boundary Elements
9 Applicable Analysis
8 Acta Mathematicae Applicatae Sinica. English Series
8 Science in China. Series A
8 Computational and Applied Mathematics
8 ETNA. Electronic Transactions on Numerical Analysis
8 East Asian Journal on Applied Mathematics
7 Journal of Approximation Theory
7 Constructive Approximation
7 Communications in Numerical Methods in Engineering
7 Discrete and Continuous Dynamical Systems. Series B
7 Results in Applied Mathematics
6 SIAM Journal on Matrix Analysis and Applications
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Electronic Research Archive
5 International Journal for Numerical Methods in Fluids
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
5 Foundations of Computational Mathematics
5 Acta Numerica
5 Advances in Difference Equations
4 International Journal of Engineering Science
4 Journal of Differential Equations
4 SIAM Journal on Control and Optimization
4 Computational Mechanics
4 Journal of Systems Science and Complexity
4 International Journal of Computational Methods
4 International Journal of Numerical Analysis and Modeling
4 Inverse Problems and Imaging
4 Molecular Based Mathematical Biology
4 SMAI Journal of Computational Mathematics
3 Computer Physics Communications
3 Inverse Problems
3 Acta Applicandae Mathematicae
3 Computer Aided Geometric Design
3 COMPEL
3 Journal of Integral Equations and Applications
3 Computational Mathematics and Mathematical Physics
3 SIAM Review
3 Computational Optimization and Applications
3 Applied Mathematics. Series B (English Edition)
3 Applied and Computational Harmonic Analysis
3 International Journal of Computational Fluid Dynamics
3 Communications in Nonlinear Science and Numerical Simulation
3 Nonlinear Analysis. Real World Applications
3 Mathematical Modelling and Analysis
3 Journal of Applied Mathematics and Computing
3 Central European Journal of Mathematics
3 Boundary Value Problems
3 Frontiers of Mathematics in China
3 Advances in Numerical Analysis
2 Communications on Pure and Applied Mathematics
2 Journal of Engineering Mathematics
2 Journal of Mathematical Biology
2 ACM Transactions on Mathematical Software
2 Journal of the Korean Mathematical Society
2 Meccanica
2 Journal of the American Mathematical Society
2 European Journal of Applied Mathematics
...and 107 more Serials
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Cited in 45 Fields

2,271 Numerical analysis (65-XX)
1,177 Partial differential equations (35-XX)
621 Fluid mechanics (76-XX)
208 Mechanics of deformable solids (74-XX)
137 Optics, electromagnetic theory (78-XX)
98 Calculus of variations and optimal control; optimization (49-XX)
44 Approximations and expansions (41-XX)
40 Biology and other natural sciences (92-XX)
39 Computer science (68-XX)
35 Operations research, mathematical programming (90-XX)
31 Statistical mechanics, structure of matter (82-XX)
29 Operator theory (47-XX)
28 Linear and multilinear algebra; matrix theory (15-XX)
28 Ordinary differential equations (34-XX)
23 Probability theory and stochastic processes (60-XX)
22 Geophysics (86-XX)
17 Integral equations (45-XX)
17 Functional analysis (46-XX)
17 Classical thermodynamics, heat transfer (80-XX)
17 Information and communication theory, circuits (94-XX)
16 Potential theory (31-XX)
16 Statistics (62-XX)
14 Harmonic analysis on Euclidean spaces (42-XX)
14 Global analysis, analysis on manifolds (58-XX)
11 Real functions (26-XX)
10 Dynamical systems and ergodic theory (37-XX)
9 Quantum theory (81-XX)
8 Combinatorics (05-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Convex and discrete geometry (52-XX)
5 Systems theory; control (93-XX)
4 History and biography (01-XX)
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2 Number theory (11-XX)
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1 Difference and functional equations (39-XX)
1 Integral transforms, operational calculus (44-XX)
1  (73-XX)
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