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Du, Qiang

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Author ID: du.qiang Recent zbMATH articles by "Du, Qiang"
Published as: Du, Qiang; Du, Q.; Du, Qiand
Homepage: http://www.columbia.edu/~qd2125/
External Links: MGP · Wikidata · dblp
Documents Indexed: 239 Publications since 1988, including 1 Book
all top 5

Co-Authors

15 single-authored
35 Gunzburger, Max D.
23 Ju, Lili
19 Tian, Xiaochuan
12 Liu, Chun
10 Wang, Desheng
10 Wang, Xiaoqiang
8 Lehoucq, Richard B.
8 Yang, Jiang
8 Zhu, Liyong
7 Chen, Long-Qing
7 Mengesha, Tadele
7 Peterson, Janet S.
7 Yu, Peng
7 Zhang, Lei
6 Tao, Yunzhe
6 Zhang, Jingyan
6 Zhou, Kun
5 Li, Tien-Yien
5 Tian, Li
5 Zhang, Jiwei
4 Bao, Weizhu
4 Chapman, Stephen Jonathan
4 Dai, Shibin
4 Emelianenko, Maria
4 Ryham, Rolf J.
4 Sun, Qi
4 Zheng, Chunxiong
4 Zhou, Zhi
3 Ding, Shijin
3 Huang, Zhan
3 Li, Manlin
3 Li, Xiao
3 Lu, Jianfang
3 Qiao, Zhonghua
3 Remski, Joan
3 Zhang, Yanzhi
2 Chen, Zhiming
2 Dawson, Clint N.
2 Deang, Jennifer M.
2 D’Elia, Marta
2 Ding, Jiu
2 Feng, Weiming
2 Gray, Paul A.
2 Hyon, Yunkyong
2 Jin, Ming
2 Lee, Hwi-Young
2 Lee, Jeehyun
2 Li, Changpin
2 Lin, Fang Hua
2 Ma, Yanping
2 Ming, Ju
2 Nicolaides, Roy A.
2 Parks, Michael L.
2 Sun, WaiChing
2 Tian, Hao
2 Wang, Chang-Yi
2 Wang, Jiakou
2 Wang, Kun
2 Wu, Xiaonan
2 Yuan, Guangwei
2 Zeng, Zhonggang
2 Zhang, Wei
2 Zhao, Xuying
2 Zhao, Yanxiang
2 Zhu, Wenxiang
2 Zou, Jun
1 Aftalion, Amandine
1 Burkardt, John V.
1 Carrillo de la Plata, José Antonio
1 Chabaud, Brandon M.
1 Chang, Chien-Cheng
1 Chen, An
1 Chen, Falai
1 Chen, Gui-Qiang G.
1 Chiu, Chichia
1 Chung, Tsz Shun Eric
1 Das, Sovan Lal
1 Defterli, Ozlem
1 Di, Xuan
1 Dong, Cheng
1 Dupont, Todd F.
1 Engquist, Bjorn E.
1 Faber, Vance
1 Feng, Xiaobing
1 Gu, Ran
1 Guo, Ben-Yu
1 Han, Houde
1 Hesthaven, Jan S.
1 Hoskins, Meghan Henty
1 Hou, L. Steven
1 Hou, Lisheng
1 Hu, Jiashun
1 Huang, Kuang
1 Huang, Yunqing
1 Huang, Zhaohui
1 Kamm, James R.
1 Keller, Rachael T.
1 Layton, William J.
1 Le, Thinh
1 Lee, Hyesuk Kwon
...and 40 more Co-Authors
all top 5

Serials

32 SIAM Journal on Numerical Analysis
15 Journal of Computational Physics
13 SIAM Journal on Applied Mathematics
10 Computer Methods in Applied Mechanics and Engineering
10 SIAM Journal on Scientific Computing
9 Mathematics of Computation
7 Journal of Scientific Computing
7 Discrete and Continuous Dynamical Systems. Series B
6 Multiscale Modeling & Simulation
6 Communications in Mathematical Sciences
6 Communications in Computational Physics
5 Computers & Mathematics with Applications
5 Journal of Computational and Applied Mathematics
5 SIAM Journal on Mathematical Analysis
5 SIAM Review
4 Journal of Mathematical Analysis and Applications
3 Archive for Rational Mechanics and Analysis
3 IMA Journal of Numerical Analysis
3 Nonlinearity
3 Applied Mathematics and Computation
3 Physica D
3 European Journal of Applied Mathematics
3 Journal of Elasticity
3 International Journal of Numerical Analysis and Modeling
3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 International Journal for Numerical Methods in Engineering
2 Numerische Mathematik
2 Journal of Computational Mathematics
2 Numerical Methods for Partial Differential Equations
2 Discrete and Continuous Dynamical Systems
2 Communications on Pure and Applied Analysis
2 Numerical Mathematics: Theory, Methods and Applications
2 Science China. Mathematics
2 Communications on Applied Mathematics and Computation
1 Applicable Analysis
1 Journal of Mathematical Biology
1 Journal of Mathematical Physics
1 Letters in Mathematical Physics
1 Mathematical Methods in the Applied Sciences
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Chaos, Solitons and Fractals
1 BIT
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Quarterly of Applied Mathematics
1 Mathematica Numerica Sinica
1 Acta Mathematica Hungarica
1 Parallel Computing
1 Computational Mechanics
1 Science in China. Series A
1 Economics Letters
1 International Journal of Computational Geometry & Applications
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Stochastic Processes and their Applications
1 Advances in Mathematical Sciences and Applications
1 Numerical Linear Algebra with Applications
1 Advances in Computational Mathematics
1 Fractional Calculus & Applied Analysis
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1 Acta Mathematica Sinica. English Series
1 Foundations of Computational Mathematics
1 Computational Methods in Applied Mathematics
1 Mathematical Biosciences and Engineering
1 CBMS-NSF Regional Conference Series in Applied Mathematics
1 Kinetic and Related Models
1 Journal of Mathematical Research with Applications
1 Nonlinear Analysis. Theory, Methods & Applications

Publications by Year

Citations contained in zbMATH Open

210 Publications have been cited 4,153 times in 2,204 Documents Cited by Year
Centroidal Voronoi tessellations: Applications and algorithms. Zbl 0983.65021
Du, Qiang; Faber, Vance; Gunzburger, Max
207
1999
Analysis and approximation of nonlocal diffusion problems with volume constraints. Zbl 1422.76168
Du, Qiang; Gunzburger, Max; Lehoucq, R. B.; Zhou, Kun
195
2012
A nonlocal vector calculus, nonlocal volume-constrained problems, and nonlocal balance laws. Zbl 1266.26020
Du, Qiang; Gunzburger, Max; Lehoucq, R. B.; Zhou, Kun
140
2013
Computing the ground state solution of Bose-Einstein condensates by a normalized gradient flow. Zbl 1061.82025
Bao, Weizhu; Du, Qiang
137
2004
Analysis and approximation of the Ginzburg-Landau model of superconductivity. Zbl 0787.65091
Du, Qiang; Gunzburger, Max D.; Peterson, Janet S.
131
1992
A phase field approach in the numerical study of the elastic bending energy for vesicle membranes. Zbl 1116.74384
Du, Qiang; Liu, Chun; Wang, Xiaoqiang
118
2004
Numerical analysis of a continuum model of phase transition. Zbl 0744.65089
Du, Qiang; Nicolaides, R. A.
107
1991
Mathematical and numerical analysis of linear peridynamic models with nonlocal boundary conditions. Zbl 1220.82074
Zhou, Kun; Du, Qiang
90
2010
A finite difference domain decomposition algorithm for numerical solution of the heat equation. Zbl 0732.65091
Dawson, Clint N.; Du, Qiang; Dupont, Todd F.
81
1991
Simulating the deformation of vesicle membranes under elastic bending energy in three dimensions. Zbl 1086.74024
Du, Qiang; Liu, Chun; Wang, Xiaoqiang
80
2006
Finite element methods with matching and nonmatching meshes for Maxwell equations with discontinuous coefficients. Zbl 0964.78017
Chen, Zhiming; Du, Qiang; Zou, Jun
77
2000
Analysis and comparison of different approximations to nonlocal diffusion and linear peridynamic equations. Zbl 1295.82021
Tian, Xiaochuan; Du, Qiand
69
2013
Analysis of a linear fluid-structure interaction problem. Zbl 1039.35076
Du, Q.; Gunzburger, M. D.; Hou, L. S.; Lee, J.
61
2003
Asymptotically compatible schemes and applications to robust discretization of nonlocal models. Zbl 1303.65098
Tian, Xiaochuan; Du, Qiang
60
2014
Global existence and uniqueness of solutions on the time-dependent Ginzburg- Landau model for superconductivity. Zbl 0843.35019
Du, Qiang
60
1994
A phase field formulation of the Willmore problem. Zbl 1125.35366
Du, Qiang; Liu, Chun; Ryham, Rolf; Wang, Xiaoqiang
50
2005
Modelling and simulations of multi-component lipid membranes and open membranes via diffuse interface approaches. Zbl 1143.92001
Wang, Xiaoqiang; Du, Qiang
49
2008
Numerical approximation of some linear stochastic partial differential equations driven by special additive noises. Zbl 1030.65002
Du, Qiang; Zhang, Tianyu
49
2002
Mathematical analysis for the peridynamic nonlocal continuum theory. Zbl 1269.45005
Du, Qiang; Zhou, Kun
48
2011
Analysis and applications of the exponential time differencing schemes and their contour integration modifications. Zbl 1080.65074
Du, Qiang; Zhu, Wenxiang
47
2005
Nonlocal constrained value problems for a linear peridynamic Navier equation. Zbl 1297.74051
Mengesha, Tadele; Du, Qiang
42
2014
Fractional diffusion on bounded domains. Zbl 06418052
Defterli, Ozlem; D’Elia, Marta; Du, Qiang; Gunzburger, Max; Lehoucq, Rich; Meerschaert, Mark M.
41
2015
Constrained centroidal Voronoi tessellations for surfaces. Zbl 1036.65101
Du, Qiang; Gunzburger, Max D.; Ju, Lili
40
2003
Numerical studies of discrete approximations to the Allen-Cahn equation in the sharp interface limit. Zbl 1198.82045
Zhang, Jian; Du, Qiang
40
2009
Analysis of a phase field Navier-Stokes vesicle-fluid interaction model. Zbl 1172.74016
Du, Qiang; Li, Manlin; Liu, Chun
40
2007
Fast explicit integration factor methods for semilinear parabolic equations. Zbl 1317.65172
Ju, Lili; Zhang, Jian; Zhu, Liyong; Du, Qiang
38
2015
Dynamics of rotating Bose-Einstein condensates and its efficient and accurate numerical computation. Zbl 1141.35052
Bao, Weizhu; Du, Qiang; Zhang, Yanzhi
38
2006
The bond-based peridynamic system with Dirichlet-type volume constraint. Zbl 1381.35177
Mengesha, Tadele; Du, Qiang
37
2014
Energetic variational approaches in modeling vesicle and fluid interactions. Zbl 1183.74056
Du, Qiang; Liu, Chun; Ryham, Rolf; Wang, Xiaoqiang
35
2009
Grid generation and optimization based on centroidal Voronoi tessellations. Zbl 1024.65118
Du, Qiang; Gunzburger, Max
35
2002
Analysis of a Ladyzhenskaya model for incompressible viscous flow. Zbl 0712.76039
Du, Qiang; Gunzburger, Max D.
35
1991
A posteriori error analysis of finite element method for linear nonlocal diffusion and peridynamic models. Zbl 1327.65101
Du, Qiang; Ju, Lili; Tian, Li; Zhou, Kun
34
2013
On the variational limit of a class of nonlocal functionals related to peridynamics. Zbl 1330.45011
Mengesha, Tadele; Du, Qiang
32
2015
Adaptive finite element method for a phase field bending elasticity model of vesicle membrane deformations. Zbl 1162.74042
Du, Qiang; Zhang, Jian
32
2008
Efficient parallel algorithms for parabolic problems. Zbl 1013.65090
Du, Q.; Mu, M.; Wu, Z. N.
31
2001
Analysis of the volume-constrained peridynamic Navier equation of linear elasticity. Zbl 1277.35007
Du, Qiang; Gunzburger, Max; Lehoucq, R. B.; Zhou, Kun
31
2013
Convergence of the Lloyd algorithm for computing centroidal Voronoi tessellations. Zbl 1115.65017
Du, Qiang; Emelianenko, Maria; Ju, Lili
31
2006
Analysis of a scalar nonlocal peridynamic model with a sign changing kernel. Zbl 1278.45014
Mengesha, Tadele; Du, Qiang
30
2013
Maximum principle preserving exponential time differencing schemes for the nonlocal Allen-Cahn equation. Zbl 1419.65018
Du, Qiang; Ju, Lili; Li, Xiao; Qiao, Zhonghua
28
2019
Ginzburg-Landau vortices: dynamics, pinning, and hysteresis. Zbl 0888.35054
Lin, Fang-Hua; Du, Qiang
27
1997
Spectral viscosity approximations to multidimensional scalar conservation laws. Zbl 0799.35148
Chen, Gui-Qiang; Du, Qiang; Tadmor, Eitan
27
1993
Stability analysis and application of the exponential time differencing schemes. Zbl 1052.65081
Du, Qiang; Zhu, Wenxiang
27
2004
Error estimates of the Markov finite approximation of the Frobenius- Perron operator. Zbl 0788.28009
Chiu, C.; Du, Q.; Li, T. Y.
25
1992
Tetrahedral mesh generation and optimization based on centroidal Voronoi tessellations. Zbl 1106.74431
Du, Qiang; Wang, Desheng
25
2003
Stabilized linear semi-implicit schemes for the nonlocal Cahn-Hilliard equation. Zbl 1395.65099
Du, Qiang; Ju, Lili; Li, Xiao; Qiao, Zhonghua
24
2018
Finite element approximation of the Cahn-Hilliard equation on surfaces. Zbl 1230.80010
Du, Qiang; Ju, Lili; Tian, Li
24
2011
A new approach for a nonlocal, nonlinear conservation law. Zbl 1248.35121
Du, Qiang; Kamm, James R.; Lehoucq, R. B.; Parks, Michael L.
24
2012
A Ginzburg-Landau type model of superconducting normal junctions including Josephson junctions. Zbl 0843.35120
Chapman, S. Jonathan; Du, Qiang; Gunzburger, Max D.
24
1995
Spectral implementation of an adaptive moving mesh method for phase-field equations. Zbl 1120.74042
Feng, W. M.; Yu, P.; Hu, S. Y.; Liu, Z. K.; Du, Q.; Chen, L. Q.
23
2006
Existence of weak solutions to some vortex density models. Zbl 1044.35085
Du, Qiang; Zhang, Ping
23
2003
High order approximation of the Frobenius-Perron operator. Zbl 0769.65025
Ding, J.; Du, Q.; Li, T. Y.
23
1993
A convergent adaptive finite element algorithm for nonlocal diffusion and peridynamic models. Zbl 1271.82011
Du, Qiang; Tian, Li; Zhao, Xuying
23
2013
Probabilistic methods for centroidal Voronoi tessellations and their parallel implementations. Zbl 1014.68202
Ju, Lili; Du, Qiang; Gunzburger, Max
23
2002
Modeling the spontaneous curvature effects in static cell membrane deformations by a phase field formulation. Zbl 1078.92004
Du, Q.; Liu, C.; Ryham, R.; Wang, X.
22
2005
FENE dumbbell model and its several linear and nonlinear closure approximations. Zbl 1108.76006
Du, Qiang; Liu, Chun; Yu, Peng
22
2005
Finite element methods for the time-dependent Ginzburg-Landau model of superconductivity. Zbl 0802.65128
Du, Q.
22
1994
Retrieving topological information for phase field models. Zbl 1114.74044
Du, Qiang; Liu, Chun; Wang, Xiaoqiang
22
2005
Finite-element approximations of a Ladyzhenskaya model for stationary incompressible viscous flow. Zbl 0697.76046
Du, Qiang; Gunzburger, Max D.
22
1990
Shrinking dimer dynamics and its applications to saddle point search. Zbl 1254.37060
Zhang, Jingyan; Du, Qiang
21
2012
Anisotropic centroidal Voronoi tessellations and their applications. Zbl 1121.65306
Du, Qiang; Wang, Desheng
21
2005
Numerical approximations of the Ginzburg-Landau models for superconductivity. Zbl 1111.82067
Du, Qiang
21
2005
Efficient and stable exponential time differencing Runge-Kutta methods for phase field elastic bending energy models. Zbl 1349.92015
Wang, Xiaoqiang; Ju, Lili; Du, Qiang
20
2016
Weak solutions for the Cahn-Hilliard equation with degenerate mobility. Zbl 1333.35188
Dai, Shibin; Du, Qiang
20
2016
Convergence analysis of a finite volume method for Maxwell’s equations in nonhomogeneous media. Zbl 1067.78018
Chung, Eric T.; Du, Qiang; Zou, Jun
20
2003
Asymptotically compatible Fourier spectral approximations of nonlocal Allen-Cahn equations. Zbl 1342.65198
Du, Qiang; Yang, Jiang
20
2016
Nonlocal convection-diffusion volume-constrained problems and jump processes. Zbl 1284.35223
Du, Qiang; Huang, Zhan; Lehoucq, Richard B.
20
2014
A model for variable thickness superconducting thin films. Zbl 0862.35119
Chapman, S. J.; Du, Qiang; Gunzburger, M. D.
20
1996
Voronoi-based finite volume methods, optimal Voronoi meshes, and PDEs on the sphere. Zbl 1046.65094
Du, Qiang; Gunzburger, Max D.; Ju, Lili
20
2003
Advances in studies and applications of centroidal Voronoi tessellations. Zbl 1224.52032
Du, Qiang; Gunzburger, Max; Ju, Lili
19
2010
Characterization of function spaces of vector fields and an application in nonlinear peridynamics. Zbl 1353.46027
Mengesha, Tadele; Du, Qiang
18
2016
Adaptive finite element methods for elliptic equations over hierarchical T-meshes. Zbl 1231.65222
Tian, Li; Chen, Falai; Du, Qiang
17
2011
Approximations of a Ginzburg-Landau model for superconducting hollow spheres based on spherical centroidal Voronoi tessellations. Zbl 1221.65293
Du, Qiang; Ju, Lili
17
2005
The optimal centroidal Voronoi tessellations and the Gersho’s conjecture in the three-dimensional space. Zbl 1077.65019
Du, Qiang; Wang, Desheng
17
2005
Nonlocal modeling, analysis, and computation. Zbl 1423.00007
Du, Qiang
17
2019
On mesh geometry and stiffness matrix conditioning for general finite element spaces. Zbl 1191.65152
Du, Qiang; Wang, Desheng; Zhu, Liyong
16
2009
A Fourier spectral moving mesh method for the Cahn-Hilliard equation with elasticity. Zbl 1364.74097
Feng, W. M.; Yu, P.; Hu, S. Y.; Liu, Z. K.; Du, Q.; Chen, L. Q.
15
2009
Nonconforming discontinuous Galerkin methods for nonlocal variational problems. Zbl 1322.65109
Tian, Xiaochuan; Du, Qiang
15
2015
High-kappa limits of the time-dependent Ginzburg-Landau model. Zbl 0865.35119
Du, Qiang; Gray, Paul
15
1996
Recent progress in robust and quality Delaunay mesh generation. Zbl 1096.65016
Du, Qiang; Wang, Desheng
14
2006
Cascadic multigrid methods for parabolic problems. Zbl 1178.65114
Du, Qiang; Ming, PingBing
14
2008
Meshfree, probabilistic determination of point sets and support regions for meshless computing. Zbl 0993.65009
Du, Qiang; Gunzburger, Max; Ju, Lili
14
2002
Motion of interfaces governed by the Cahn-Hilliard equation with highly disparate diffusion mobility. Zbl 1276.35033
Dai, Shibin; Du, Qiang
14
2012
Nonlocal diffusion and peridynamic models with Neumann type constraints and their numerical approximations. Zbl 1411.74058
Tao, Yunzhe; Tian, Xiaochuan; Du, Qiang
14
2017
Computational studies of coarsening rates for the Cahn-Hilliard equation with phase-dependent diffusion mobility. Zbl 1349.80043
Dai, Shibin; Du, Qiang
13
2016
An explicit-implicit predictor-corrector domain decomposition method for time dependent multi-dimensional convection diffusion equations. Zbl 1212.65369
Zhu, Liyong; Yuan, Guangwei; Du, Qiang
13
2009
A model for superconducting thin films having variable thickness. Zbl 0794.58049
Du, Qiang; Gunzburger, Max D.
13
1993
Discrete gauge invariant approximations of a time dependent Ginzburg-Landau model of superconductivity. Zbl 0907.65086
Du, Qiang
13
1998
Numerical simulation of vortex dynamics in Ginzburg-Landau-Schrödinger equation. Zbl 1202.35311
Zhang, Yanzhi; Bao, Weizhu; Du, Qiang
13
2007
Nonlocal convection-diffusion problems and finite element approximations. Zbl 1423.74925
Tian, Hao; Ju, Lili; Du, Qiang
13
2015
Analysis of a mixed finite element method for a phase field bending elasticity model of vesicle membrane deformation. Zbl 1095.74033
Du, Qiang; Zhu, Liyong
12
2006
Analysis of a nonlocal-in-time parabolic equation. Zbl 1362.45015
Du, Qiang; Yang, Jiang; Zhou, Zhi
12
2017
Fourier spectral approximation to a dissipative system modeling the flow of liquid crystals. Zbl 1007.76057
Du, Qiang; Guo, Benyu; Shen, Jie
12
2001
Optimization based nonoverlapping domain decomposition algorithms and their convergence. Zbl 1004.65132
Du, Qiang
12
2001
Asymptotically compatible schemes for the approximation of fractional Laplacian and related nonlocal diffusion problems on bounded domains. Zbl 1356.65239
Tian, Xiaochuan; Du, Qiang; Gunzburger, Max
12
2016
Impulsive stretching of a surface in a viscous fluid. Zbl 0869.76013
Wang, C. Y.; Du, Q.; Miklavčič, M.; Chang, C. C.
12
1997
Numerical simulations of the quantized vortices on a thin superconducting hollow sphere. Zbl 1076.82549
Du, Qiang; Ju, Lili
12
2004
Semidiscrete finite element approximations of a linear fluid-structure interaction problem. Zbl 1159.74343
Du, Qiang; Gunzburger, M. D.; Hou, Lisheng; Lee, Jeehyun
12
2004
Trace theorems for some nonlocal function spaces with heterogeneous localization. Zbl 1373.46030
Tian, Xiaochuan; Du, Qiang
11
2017
A constrained string method and its numerical analysis. Zbl 1186.65079
Du, Qiang; Zhang, Lei
11
2009
Analysis and convergence of a covolume approximation of the Ginzburg-Landau model of superconductivity. Zbl 0911.65139
Du, Qiang; Nicolaides, R. A.; Wu, Xiaonan
11
1998
Discovery of dynamics using linear multistep methods. Zbl 1466.65050
Keller, Rachael T.; Du, Qiang
3
2021
Maximum bound principles for a class of semilinear parabolic equations and exponential time-differencing schemes. Zbl 1465.35081
Du, Qiang; Ju, Lili; Li, Xiao; Qiao, Zhonghua
3
2021
The phase field method for geometric moving interfaces and their numerical approximations. Zbl 1455.35276
Du, Qiang; Feng, Xiaobing
8
2020
Asymptotically compatible schemes for robust discretization of parametrized problems with applications to nonlocal models. Zbl 07168053
Tian, Xiaochuan; Du, Qiang
3
2020
Stochastic representation of solution to nonlocal-in-time diffusion. Zbl 1441.60060
Du, Qiang; Toniazzi, Lorenzo; Zhou, Zhi
2
2020
Time-fractional Allen-Cahn equations: analysis and numerical methods. Zbl 1456.65062
Du, Qiang; Yang, Jiang; Zhou, Zhi
2
2020
Stochastic training of residual networks in deep learning. Zbl 1463.68074
Sun, Qi; Tao, Yunzhe; Du, Qiang
1
2020
Maximum principle preserving exponential time differencing schemes for the nonlocal Allen-Cahn equation. Zbl 1419.65018
Du, Qiang; Ju, Lili; Li, Xiao; Qiao, Zhonghua
28
2019
Nonlocal modeling, analysis, and computation. Zbl 1423.00007
Du, Qiang
17
2019
A cooperative game for automated learning of elasto-plasticity knowledge graphs and models with AI-guided experimentation. Zbl 1464.74034
Wang, Kun; Sun, WaiChing; Du, Qiang
6
2019
A discontinuous Galerkin method for one-dimensional time-dependent nonlocal diffusion problems. Zbl 1405.65118
Du, Qiang; Ju, Lili; Lu, Jianfang
5
2019
Analysis of fully discrete approximations for dissipative systems and application to time-dependent nonlocal diffusion problems. Zbl 1419.65058
Du, Qiang; Ju, Lili; Lu, Jianfang
5
2019
Asymptotically compatible SPH-like particle discretizations of one dimensional linear advection models. Zbl 1409.76114
Lee, Hwi; Du, Qiang
4
2019
On uniform second order nonlocal approximations to linear two-point boundary value problems. Zbl 1426.47013
Du, Qiang; Zhang, Jiwei; Zheng, Chunxiong
4
2019
Nonlocal models with heterogeneous localization and their application to seamless local-nonlocal coupling. Zbl 1447.45001
Tao, Yunzhe; Tian, Xiaochuan; Du, Qiang
3
2019
A conforming DG method for linear nonlocal models with integrable kernels. Zbl 1428.82037
Du, Qiang; Yin, Xiaobo
1
2019
Asymptotically compatible discretization of multidimensional nonlocal diffusion models and approximation of nonlocal Green’s functions. Zbl 1466.65222
Du, Qiang; Tao, Yunzhe; Tian, Xiaochuan; Yang, Jiang
1
2019
Stabilized linear semi-implicit schemes for the nonlocal Cahn-Hilliard equation. Zbl 1395.65099
Du, Qiang; Ju, Lili; Li, Xiao; Qiao, Zhonghua
24
2018
Uniform \(L^p\)-bound of the Allen-Cahn equation and its numerical discretization. Zbl 1408.65076
Yang, Jiang; Du, Qiang; Zhang, Wei
9
2018
A peridynamic model of fracture mechanics with bond-breaking. Zbl 1395.74041
Du, Qiang; Tao, Yunzhe; Tian, Xiaochuan
7
2018
Numerical solution of a two-dimensional nonlocal wave equation on unbounded domains. Zbl 1392.82036
Du, Qiang; Han, Houde; Zhang, Jiwei; Zheng, Chunxiong
7
2018
A quasi-nonlocal coupling method for nonlocal and local diffusion models. Zbl 06880667
Du, Qiang; Li, Xingjie Helen; Lu, Jianfeng; Tian, Xiaochuan
6
2018
Stability of nonlocal Dirichlet integrals and implications for peridynamic correspondence material modeling. Zbl 1394.45002
Du, Qiang; Tian, Xiaochuan
6
2018
A new phase-field approach to variational implicit solvation of charged molecules with the Coulomb-field approximation. Zbl 1407.65234
Zhao, Yanxiang; Ma, Yanping; Sun, Hui; Li, Bo; Du, Qiang
2
2018
A spectral method for nonlocal diffusion operators on the sphere. Zbl 1415.65238
Slevinsky, Richard Mikaël; Montanelli, Hadrien; Du, Qiang
2
2018
Asymptotically compatible schemes for stochastic homogenization. Zbl 1452.35022
Sun, Qi; Du, Qiang; Ming, Ju
1
2018
Nonlocal diffusion and peridynamic models with Neumann type constraints and their numerical approximations. Zbl 1411.74058
Tao, Yunzhe; Tian, Xiaochuan; Du, Qiang
14
2017
Analysis of a nonlocal-in-time parabolic equation. Zbl 1362.45015
Du, Qiang; Yang, Jiang; Zhou, Zhi
12
2017
Trace theorems for some nonlocal function spaces with heterogeneous localization. Zbl 1373.46030
Tian, Xiaochuan; Du, Qiang
11
2017
Fast and accurate implementation of Fourier spectral approximations of nonlocal diffusion operators and its applications. Zbl 1380.65435
Du, Qiang; Yang, Jiang
8
2017
Artificial boundary conditions for nonlocal heat equations on unbounded domain. Zbl 1373.45011
Zhang, Wei; Yang, Jiang; Zhang, Jiwei; Du, Qiang
6
2017
Nonlocal convection-diffusion problems on bounded domains and finite-range jump processes. Zbl 1436.35307
D’Elia, Marta; Du, Qiang; Gunzburger, Max; Lehoucq, Richard
4
2017
A conservative nonlocal convection-diffusion model and asymptotically compatible finite difference discretization. Zbl 1439.65134
Tian, Hao; Ju, Lili; Du, Qiang
4
2017
Nonlocal conservation laws. A new class of monotonicity-preserving models. Zbl 1377.35196
Du, Qiang; Huang, Zhan; LeFloch, Philippe G.
3
2017
Asymptotically compatible schemes for space-time nonlocal diffusion equations. Zbl 1422.65279
Chen, An; Du, Qiang; Li, Changpin; Zhou, Zhi
3
2017
Numerical solution of the nonlocal diffusion equation on the real line. Zbl 1376.82053
Zheng, Chunxiong; Hu, Jiashun; Du, Qiang; Zhang, Jiwei
3
2017
Numerical solution of a scalar one-dimensional monotonicity-preserving nonlocal nonlinear conservation law. Zbl 1389.35223
Du, Qiang; Huang, Zhan
3
2017
Efficient and stable exponential time differencing Runge-Kutta methods for phase field elastic bending energy models. Zbl 1349.92015
Wang, Xiaoqiang; Ju, Lili; Du, Qiang
20
2016
Weak solutions for the Cahn-Hilliard equation with degenerate mobility. Zbl 1333.35188
Dai, Shibin; Du, Qiang
20
2016
Asymptotically compatible Fourier spectral approximations of nonlocal Allen-Cahn equations. Zbl 1342.65198
Du, Qiang; Yang, Jiang
20
2016
Characterization of function spaces of vector fields and an application in nonlinear peridynamics. Zbl 1353.46027
Mengesha, Tadele; Du, Qiang
18
2016
Computational studies of coarsening rates for the Cahn-Hilliard equation with phase-dependent diffusion mobility. Zbl 1349.80043
Dai, Shibin; Du, Qiang
13
2016
Asymptotically compatible schemes for the approximation of fractional Laplacian and related nonlocal diffusion problems on bounded domains. Zbl 1356.65239
Tian, Xiaochuan; Du, Qiang; Gunzburger, Max
12
2016
Multiscale analysis of linear evolution equations with applications to nonlocal models for heterogeneous media. Zbl 1348.74287
Du, Qiang; Lipton, Robert; Mengesha, Tadele
7
2016
Optimization-based shrinking dimer method for finding transition states. Zbl 1332.37062
Zhang, Lei; Du, Qiang; Zheng, Zhenzhen
7
2016
A class of high order nonlocal operators. Zbl 1362.46042
Tian, Xiaochuan; Du, Qiang
5
2016
On the consistency between nearest-neighbor peridynamic discretizations and discretized classical elasticity models. Zbl 1439.74044
Seleson, Pablo; Du, Qiang; Parks, Michael L.
5
2016
A multiscale implementation based on adaptive mesh refinement for the nonlocal peridynamics model in one dimension. Zbl 1381.74214
Xu, Feifei; Gunzburger, Max; Burkardt, John; Du, Qiang
4
2016
Generalized local and nonlocal master equations for some stochastic processes. Zbl 1443.60052
Zhao, Yanxiang; Wang, Jiakou; Ma, Yanping; Du, Qiang
2
2016
Robust a posteriori stress analysis for quadrature collocation approximations of nonlocal models via nonlocal gradients. Zbl 1439.74011
Du, Qiang; Tao, Yunzhe; Tian, Xiaochuan; Yang, Jiang
1
2016
Fractional diffusion on bounded domains. Zbl 06418052
Defterli, Ozlem; D’Elia, Marta; Du, Qiang; Gunzburger, Max; Lehoucq, Rich; Meerschaert, Mark M.
41
2015
Fast explicit integration factor methods for semilinear parabolic equations. Zbl 1317.65172
Ju, Lili; Zhang, Jian; Zhu, Liyong; Du, Qiang
38
2015
On the variational limit of a class of nonlocal functionals related to peridynamics. Zbl 1330.45011
Mengesha, Tadele; Du, Qiang
32
2015
Nonconforming discontinuous Galerkin methods for nonlocal variational problems. Zbl 1322.65109
Tian, Xiaochuan; Du, Qiang
15
2015
Nonlocal convection-diffusion problems and finite element approximations. Zbl 1423.74925
Tian, Hao; Ju, Lili; Du, Qiang
13
2015
Integral approximations to classical diffusion and smoothed particle hydrodynamics. Zbl 1423.76363
Du, Qiang; Lehoucq, R. B.; Tartakovsky, A. M.
10
2015
Multiscale analysis of linearized peridynamics. Zbl 1327.74129
Mengesha, Tadele; Du, Qiang
3
2015
Asymptotically compatible schemes and applications to robust discretization of nonlocal models. Zbl 1303.65098
Tian, Xiaochuan; Du, Qiang
60
2014
Nonlocal constrained value problems for a linear peridynamic Navier equation. Zbl 1297.74051
Mengesha, Tadele; Du, Qiang
42
2014
The bond-based peridynamic system with Dirichlet-type volume constraint. Zbl 1381.35177
Mengesha, Tadele; Du, Qiang
37
2014
Nonlocal convection-diffusion volume-constrained problems and jump processes. Zbl 1284.35223
Du, Qiang; Huang, Zhan; Lehoucq, Richard B.
20
2014
Coarsening mechanism for systems governed by the Cahn-Hilliard equation with degenerate diffusion mobility. Zbl 1327.35150
Dai, Shibin; Du, Qiang
10
2014
Linear finite element superconvergence on simplicial meshes. Zbl 1312.65187
Chen, Jie; Wang, Desheng; Du, Qiang
8
2014
Mesh dependent stability and condition number estimates for finite element approximations of parabolic problems. Zbl 1279.65119
Zhu, Liyong; Du, Qiang
6
2014
Error estimates for approximations of a gradient dynamics for phase field elastic bending energy of vesicle membrane deformation. Zbl 1432.74211
Zhu, Liyong; Du, Qiang
2
2014
Finding critical nuclei in phase transformations by shrinking dimer dynamics and its variants. Zbl 1373.82033
Zhang, Lei; Zhang, Jingyan; Du, Qiang
2
2014
Constraint-free adaptive FEMs on quadrilateral nonconforming meshes. Zbl 1310.65150
Zhao, Xuying; Shi, Zhong-Ci; Du, Qiang
1
2014
A nonlocal vector calculus, nonlocal volume-constrained problems, and nonlocal balance laws. Zbl 1266.26020
Du, Qiang; Gunzburger, Max; Lehoucq, R. B.; Zhou, Kun
140
2013
Analysis and comparison of different approximations to nonlocal diffusion and linear peridynamic equations. Zbl 1295.82021
Tian, Xiaochuan; Du, Qiand
69
2013
A posteriori error analysis of finite element method for linear nonlocal diffusion and peridynamic models. Zbl 1327.65101
Du, Qiang; Ju, Lili; Tian, Li; Zhou, Kun
34
2013
Analysis of the volume-constrained peridynamic Navier equation of linear elasticity. Zbl 1277.35007
Du, Qiang; Gunzburger, Max; Lehoucq, R. B.; Zhou, Kun
31
2013
Analysis of a scalar nonlocal peridynamic model with a sign changing kernel. Zbl 1278.45014
Mengesha, Tadele; Du, Qiang
30
2013
A convergent adaptive finite element algorithm for nonlocal diffusion and peridynamic models. Zbl 1271.82011
Du, Qiang; Tian, Li; Zhao, Xuying
23
2013
Abstract principal component analysis. Zbl 1305.62223
Li, Tianjiang; Du, Qiang
1
2013
Analysis and approximation of nonlocal diffusion problems with volume constraints. Zbl 1422.76168
Du, Qiang; Gunzburger, Max; Lehoucq, R. B.; Zhou, Kun
195
2012
A new approach for a nonlocal, nonlinear conservation law. Zbl 1248.35121
Du, Qiang; Kamm, James R.; Lehoucq, R. B.; Parks, Michael L.
24
2012
Shrinking dimer dynamics and its applications to saddle point search. Zbl 1254.37060
Zhang, Jingyan; Du, Qiang
21
2012
Motion of interfaces governed by the Cahn-Hilliard equation with highly disparate diffusion mobility. Zbl 1276.35033
Dai, Shibin; Du, Qiang
14
2012
Constrained shrinking dimer dynamics for saddle point search with constraints. Zbl 1248.65069
Zhang, Jingyan; Du, Qiang
8
2012
Periodic centroidal Voronoi tessellations. Zbl 1267.65029
Zhang, Jingyan; Emelianenk, Maria; Du, Qiang
3
2012
A hybrid implicit-explicit adaptive multirate numerical scheme for time-dependent equations. Zbl 1244.65100
Chabaud, Brandon; Du, Q.
1
2012
Mathematical analysis for the peridynamic nonlocal continuum theory. Zbl 1269.45005
Du, Qiang; Zhou, Kun
48
2011
Finite element approximation of the Cahn-Hilliard equation on surfaces. Zbl 1230.80010
Du, Qiang; Ju, Lili; Tian, Li
24
2011
Adaptive finite element methods for elliptic equations over hierarchical T-meshes. Zbl 1231.65222
Tian, Li; Chen, Falai; Du, Qiang
17
2011
Convergent adaptive finite element method based on centroidal Voronoi tessellations and superconvergence. Zbl 1364.65251
Huang, Yunqing; Qin, Hengfeng; Wang, Desheng; Du, Qiang
9
2011
Mesh-dependent stability for finite element approximations of parabolic equations with mass lumping. Zbl 1269.65084
Zhu, Liyong; Du, Qiang
5
2011
Analysis of a stochastic implicit interface model for an immersed elastic surface in a fluctuating fluid. Zbl 1294.35200
Du, Qiang; Li, Manlin
4
2011
Asymptotic analysis of a diffuse interface relaxation to a nonlocal optimal partition problem. Zbl 1211.35093
Du, Qiang; Zhang, Jingyan
1
2011
Mathematical and numerical analysis of linear peridynamic models with nonlocal boundary conditions. Zbl 1220.82074
Zhou, Kun; Du, Qiang
90
2010
Advances in studies and applications of centroidal Voronoi tessellations. Zbl 1224.52032
Du, Qiang; Gunzburger, Max; Ju, Lili
19
2010
Vortex solutions of the high-\(\kappa\) high-field Ginzburg-Landau model with an applied current. Zbl 1223.82069
Du, Qiang; Wei, Juncheng; Zhao, Chunyi
6
2010
An efficient explicit/implicit domain decomposition method for convection-diffusion equations. Zbl 1196.65160
Zhu, Liyong; Yuan, Guangwei; Du, Qiang
6
2010
Simultaneous prediction of morphologies of a critical nucleus and an equilibrium precipitate in solids. Zbl 1364.82017
Zhang, Lei; Chen, Long-Qing; Du, Qiang
5
2010
Diffuse-interface approach to predicting morphologies of critical nucleus and equilibrium structure for cubic to tetragonal transformations. Zbl 1198.82025
Zhang, Lei; Chen, Long-Qing; Du, Qiang
3
2010
Numerical studies of discrete approximations to the Allen-Cahn equation in the sharp interface limit. Zbl 1198.82045
Zhang, Jian; Du, Qiang
40
2009
Energetic variational approaches in modeling vesicle and fluid interactions. Zbl 1183.74056
Du, Qiang; Liu, Chun; Ryham, Rolf; Wang, Xiaoqiang
35
2009
On mesh geometry and stiffness matrix conditioning for general finite element spaces. Zbl 1191.65152
Du, Qiang; Wang, Desheng; Zhu, Liyong
16
2009
A Fourier spectral moving mesh method for the Cahn-Hilliard equation with elasticity. Zbl 1364.74097
Feng, W. M.; Yu, P.; Hu, S. Y.; Liu, Z. K.; Du, Q.; Chen, L. Q.
15
2009
An explicit-implicit predictor-corrector domain decomposition method for time dependent multi-dimensional convection diffusion equations. Zbl 1212.65369
Zhu, Liyong; Yuan, Guangwei; Du, Qiang
13
2009
A constrained string method and its numerical analysis. Zbl 1186.65079
Du, Qiang; Zhang, Lei
11
2009
...and 110 more Documents
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Cited by 2,924 Authors

106 Du, Qiang
53 Gunzburger, Max D.
44 Ju, Lili
25 Li, Jichun
23 Huang, Yunqing
23 Liu, Chun
23 Yang, Xiaofeng
22 Wang, Cheng
21 Bao, Weizhu
20 Ding, Jiu
19 Shen, Jie
18 Fan, Jishan
18 Pan, Xingbin
17 Tian, Xiaochuan
16 Wang, Qi
14 Zhang, Yanzhi
13 Kim, Junseok
13 Lowengrub, John Samuel
13 Wang, Desheng
12 Mengesha, Tadele
12 Wise, Steven M.
11 Antoine, Xavier
11 Feng, Xinlong
11 Qiao, Zhonghua
11 Wang, Xiaoqiang
11 Warma, Mahamadi
11 Zhao, Jia
10 Cai, Yongyong
10 Dehghan Takht Fooladi, Mehdi
10 Liu, Zuhan
10 Pan, Kejia
10 Wang, Hanquan
10 Wang, Hong
10 Yang, Wei
9 Bellido, José Carlos
9 Chen, Wenbin
9 Chien, Cheng-Sheng
9 D’Elia, Marta
9 Elliott, Charles M.
9 Gong, Yuezheng
9 Guo, Boling
9 Li, Buyang
9 Liang, Dong
9 Lipton, Robert P.
9 Promislow, Keith Steven
9 Rabczuk, Timon
9 Serfaty, Sylvia
9 Triggiani, Roberto
9 Zhou, Aihui
9 Zhu, Liyong
8 Barrett, John W.
8 Boglaev, Igor P.
8 Bronsard, Lia
8 Guillén González, Francisco M.
8 Helffer, Bernard
8 Huang, Chengming
8 Huang, Ting-Zhu
8 Lasiecka, Irena
8 Lee, Hyun Geun
8 Lehoucq, Richard B.
8 Li, Xiao
8 Lin, Wen-Wei
8 Rossi, Julio Daniel
8 Shieh, Shih-Feng
8 Voigt, Axel
8 Wang, Tingchun
8 Yang, Jiang
8 Yu, Yue
8 Zhou, Zhi
8 Zhou, Zhongguo
7 Aksoylu, Burak
7 Alama, Stan
7 Almog, Yaniv
7 Čanić, Sunčica
7 Cheng, Kelong
7 Chung, Tsz Shun Eric
7 Dassi, Franco
7 Duan, Jinqiao
7 Gal, Ciprian Gheorghe Sorin
7 Hu, Hongling
7 Karniadakis, George Em
7 Li, Yibao
7 Lin, Ping
7 Liu, Zhengguang
7 Meerschaert, Mark Marvin
7 Muha, Boris
7 Owolabi, Kolade Matthew
7 Shi, Dongyang
7 Süli, Endre E.
7 Trask, Nathaniel A.
7 Wang, Xiaoming
7 Wang, Yushun
7 Yoshida, Natsumi
7 Yuan, Guangwei
7 Zhang, Zhimin
7 Zou, Jun
6 Avalos, George
6 Beirão da Veiga, Lourenço
6 Bertozzi, Andrea Louise
6 Cai, Wenjun
...and 2,824 more Authors
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Cited in 311 Serials

217 Journal of Computational Physics
114 Computer Methods in Applied Mechanics and Engineering
102 Journal of Computational and Applied Mathematics
92 Journal of Scientific Computing
78 Applied Mathematics and Computation
75 Computers & Mathematics with Applications
57 SIAM Journal on Numerical Analysis
49 Mathematics of Computation
47 Applied Numerical Mathematics
47 SIAM Journal on Scientific Computing
46 Journal of Mathematical Analysis and Applications
34 Physica D
33 Numerische Mathematik
30 Numerical Methods for Partial Differential Equations
28 Applied Mathematics Letters
26 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
24 Journal of Differential Equations
23 Journal of Mathematical Physics
23 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
21 SIAM Journal on Mathematical Analysis
21 Multiscale Modeling & Simulation
20 Advances in Computational Mathematics
19 Archive for Rational Mechanics and Analysis
19 ZAMP. Zeitschrift für angewandte Mathematik und Physik
18 Discrete and Continuous Dynamical Systems. Series B
17 Applicable Analysis
17 Calculus of Variations and Partial Differential Equations
16 Computer Physics Communications
16 Computational Mechanics
16 Numerical Algorithms
16 Science China. Mathematics
15 International Journal for Numerical Methods in Engineering
15 Computer Aided Geometric Design
15 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
15 SIAM Journal on Applied Mathematics
15 Communications in Nonlinear Science and Numerical Simulation
13 Nonlinear Analysis. Theory, Methods & Applications
12 Mathematical Methods in the Applied Sciences
12 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
12 Applied Mathematical Modelling
12 International Journal of Computer Mathematics
12 Journal of Elasticity
12 Discrete and Continuous Dynamical Systems
11 Communications in Mathematical Physics
10 BIT
10 Mathematics and Computers in Simulation
10 Engineering Analysis with Boundary Elements
10 Advances in Applied Mathematics and Mechanics
9 Journal of Fluid Mechanics
9 Transactions of the American Mathematical Society
9 Advances in Difference Equations
8 International Journal of Control
8 Mathematics and Mechanics of Solids
8 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
8 Fractional Calculus & Applied Analysis
7 Journal of Mathematical Biology
7 Journal of Functional Analysis
7 Science in China. Series A
7 Mathematical Problems in Engineering
7 Nonlinear Analysis. Real World Applications
7 Communications on Pure and Applied Analysis
6 Computers and Fluids
6 Communications on Pure and Applied Mathematics
6 Nonlinearity
6 Automatica
6 European Journal of Applied Mathematics
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5 Journal of Statistical Physics
5 Chaos, Solitons and Fractals
5 Applied Mathematics and Optimization
5 Calcolo
5 Numerical Functional Analysis and Optimization
5 Mathematical and Computer Modelling
5 SIAM Review
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5 NoDEA. Nonlinear Differential Equations and Applications
5 Chaos
5 Acta Mathematica Sinica. English Series
5 Computational Geosciences
5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
4 Inverse Problems
4 Bulletin of Mathematical Biology
4 Journal of Optimization Theory and Applications
4 Chinese Annals of Mathematics. Series B
4 Acta Applicandae Mathematicae
4 SIAM Journal on Matrix Analysis and Applications
4 Japan Journal of Industrial and Applied Mathematics
4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
4 Journal of Mathematical Imaging and Vision
4 Potential Analysis
4 International Journal of Nonlinear Sciences and Numerical Simulation
4 Milan Journal of Mathematics
4 SIAM Journal on Applied Dynamical Systems
4 Discrete and Continuous Dynamical Systems. Series S
...and 211 more Serials
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Cited in 50 Fields

1,279 Numerical analysis (65-XX)
1,152 Partial differential equations (35-XX)
425 Fluid mechanics (76-XX)
337 Statistical mechanics, structure of matter (82-XX)
291 Mechanics of deformable solids (74-XX)
145 Calculus of variations and optimal control; optimization (49-XX)
113 Optics, electromagnetic theory (78-XX)
108 Biology and other natural sciences (92-XX)
96 Probability theory and stochastic processes (60-XX)
85 Integral equations (45-XX)
65 Dynamical systems and ergodic theory (37-XX)
55 Operator theory (47-XX)
55 Computer science (68-XX)
54 Quantum theory (81-XX)
52 Systems theory; control (93-XX)
48 Real functions (26-XX)
47 Ordinary differential equations (34-XX)
41 Global analysis, analysis on manifolds (58-XX)
40 Operations research, mathematical programming (90-XX)
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16 Linear and multilinear algebra; matrix theory (15-XX)
13 Combinatorics (05-XX)
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9 Mechanics of particles and systems (70-XX)
7 Potential theory (31-XX)
7 Difference and functional equations (39-XX)
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