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## Zhang, Zhimin

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 Author ID: zhang.zhimin Published as: Zhang, Z.; Zhang, Z. M.; Zhang, Zhimin Homepage: http://www.csrc.ac.cn/~zmzhang External Links: MGP · ResearchGate
 Documents Indexed: 225 Publications since 1992, including 2 Books
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#### Co-Authors

 20 single-authored 18 Cao, Waixiang 17 Zou, Qingsong 10 Huang, Can 10 Lin, Runchang 10 Xie, Ziqing 9 Guo, Hailong 8 Li, Huiyuan 8 Zhang, Shangyou 7 He, Wenming 7 Naga, Ahmed 7 Zhang, Jiwei 7 Zhu, Huiqing 5 Song, Qingshuo 5 Wang, Lilian 5 Wu, Haijun 5 Zhang, Qian 4 An, Jing 4 Du, Yu 4 Li, Dongfang 4 Yin, Gang George 4 Zhao, Ren 4 Zhu, Jianzhong 3 Celiker, Fatih 3 Chen, Hongtao 3 Liao, HongLin 3 Martin, Clyde Franklin 3 Shu, Chi-Wang 3 Sun, Jiguang 3 Wang, Bo 3 Wang, Lixiu 3 Yang, Yidu 3 Zhang, Jing 2 Babuška, Ivo 2 Deng, Beichuan 2 Du, Shaohong 2 Fan, Li 2 Gong, Bo 2 Guo, Benqi 2 Jia, Lueling 2 Li, Buyang 2 Li, Jichun 2 Liu, Anping 2 Ma, Suna 2 Ren, Jincheng 2 Shi, Zhongci 2 Song, Lunji 2 Tomlinson, John 2 Wang, Jiangxing 2 Xiao, Wenqiang 2 Yan, Ningning 2 Ye, Xiu 2 Zhang, Ran 2 Zhang, Sheng 2 Zhang, Xu 2 Zhang, Xu 2 Zhang, Zuozheng 2 Zhao, Xuan 1 Allen, Edward James 1 Cao, Yanzhao 1 Chen, Chuanmiao 1 Chen, Zhen 1 Demkowicz, Leszek F. 1 Enqvist, Per 1 Falk, Rick 1 Feng, Xiaobing 1 Guan, Hongbo 1 Han, Jiayu 1 Hoppe, Ronald H. W. 1 Hu, Jun 1 Hu, Kaibo 1 Huang, Zhongyi 1 Jiang, Shidong 1 Jiao, Yujian 1 Kanyamee, Nairat 1 Li, Bo 1 Li, Dan 1 Lin, Fubiao 1 Liu, Hailiang 1 Meng, Lingxiong 1 Novosel, S. J. 1 Oh, Hae-Soo 1 Qin, Lizhen 1 Shan, Weikun 1 Shen, Jie 1 Shi, Jing 1 Stynes, Martin 1 Sun, Ming 1 Sun, Tong 1 Sun, Zhizhong 1 Tang, Jie 1 Tang, Tao 1 Tian, Haiyan 1 Victory, Harold Dean jun. 1 Vogelius, Michael S. 1 Wang, Lin 1 Wang, Peizhen 1 Wang, Ruishu 1 Wu, Chengda 1 Xie, Hehu 1 Xu, Jinchao ...and 15 more Co-Authors
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#### Serials

 32 Journal of Scientific Computing 16 Mathematics of Computation 15 SIAM Journal on Numerical Analysis 12 Numerical Methods for Partial Differential Equations 11 Journal of Computational Mathematics 11 International Journal of Numerical Analysis and Modeling 9 Journal of Computational and Applied Mathematics 9 Discrete and Continuous Dynamical Systems. Series B 7 SIAM Journal on Scientific Computing 6 Computer Methods in Applied Mechanics and Engineering 6 Numerische Mathematik 6 Advances in Computational Mathematics 5 Journal of Computational Physics 4 IMA Journal of Numerical Analysis 3 Communications in Mathematical Sciences 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Computers & Mathematics with Applications 2 Applied Numerical Mathematics 2 Applied Mathematics Letters 2 Computational Methods in Applied Mathematics 2 Communications in Computational Physics 2 Science China. Mathematics 1 International Journal of Mechanical Sciences 1 Automatica 1 BIT 1 IEEE Transactions on Automatic Control 1 International Journal for Numerical Methods in Engineering 1 Mathematica Numerica Sinica 1 Acta Applicandae Mathematicae 1 Journal of Integral Equations and Applications 1 Applications of Mathematics 1 Numerical Algorithms 1 Stochastics and Stochastics Reports 1 Applied and Computational Harmonic Analysis 1 The Korean Journal of Computational & Applied Mathematics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Journal of Numerical Mathematics 1 Stochastics 1 Lecture Notes in Computational Science and Engineering 1 East Asian Journal on Applied Mathematics 1 Communications on Applied Mathematics and Computation
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#### Fields

 178 Numerical analysis (65-XX) 97 Partial differential equations (35-XX) 24 Ordinary differential equations (34-XX) 21 Mechanics of deformable solids (74-XX) 13 Optics, electromagnetic theory (78-XX) 9 Approximations and expansions (41-XX) 6 General and overarching topics; collections (00-XX) 6 Special functions (33-XX) 5 Integral equations (45-XX) 5 Probability theory and stochastic processes (60-XX) 4 Real functions (26-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Potential theory (31-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Fluid mechanics (76-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH Open

174 Publications have been cited 1,794 times in 1,003 Documents Cited by Year
A new finite element gradient recovery method: Superconvergence property. Zbl 1078.65110
Zhang, Zhimin; Naga, Ahmed
2005
Analysis of recovery type a posteriori error estimators for mildly structured grids. Zbl 1050.65103
Xu, Jinchao; Zhang, Zhimin
2004
Finite element and difference approximation of some linear stochastic partial differential equations. Zbl 0907.65147
Allen, E. J.; Novosel, S. J.; Zhang, Z.
1998
A posteriori error estimates based on the polynomial preserving recovery. Zbl 1078.65098
Naga, Ahmed; Zhang, Zhimin
2004
Finite element superconvergence on Shishkin mesh for 2-D convection-diffusion problems. Zbl 1019.65091
Zhang, Zhimin
2003
Correlation analysis of non-probabilistic convex model and corresponding structural reliability technique. Zbl 1230.74240
Jiang, C.; Han, X.; Lu, G. Y.; Liu, J.; Zhang, Z.; Bai, Y. C.
2011
Eigenvalue approximation from below using non-conforming finite elements. Zbl 1187.65125
Yang, Yidu; Zhang, Zhimin; Lin, Fubiao
2010
Superconvergence of discontinuous Galerkin methods for linear hyperbolic equations. Zbl 1331.65128
Cao, Waixiang; Zhang, Zhimin; Zou, Qingsong
2014
Analysis of some quadrilateral nonconforming elements for incompressible elasticity. Zbl 0870.73074
Zhang, Zhimin
1997
Vertex-centered finite volume schemes of any order over quadrilateral meshes for elliptic boundary value problems. Zbl 1338.65233
Zhang, Zhimin; Zou, Qingsong
2015
Superconvergence of discontinuous Galerkin methods for two-dimensional hyperbolic equations. Zbl 1328.65195
Cao, Waixiang; Shu, Chi-Wang; Yang, Yang; Zhang, Zhimin
2015
Uniform superconvergence analysis of the discontinuous Galerkin method for a singularly perturbed problem in 1-D. Zbl 1208.65118
Xie, Ziqing; Zhang, Zhimin
2010
Ultraconvergence of the patch recovery technique II. Zbl 0936.65132
Zhang, Zhimin
2000
The polynomial-preserving recovery for higher order finite element methods in 2D and 3D. Zbl 1078.65108
Naga, A.; Zhang, Z.
2005
Finite element superconvergence approximation for one-dimensional singularly perturbed problems. Zbl 1002.65088
Zhang, Zhimin
2002
Can we have superconvergent gradient recovery under adaptive meshes? Zbl 1152.65104
Wu, Haijun; Zhang, Zhimin
2007
Unconditionally optimal error estimates of a linearized Galerkin method for nonlinear time fractional reaction-subdiffusion equations. Zbl 1397.65173
Li, Dongfang; Zhang, Jiwei; Zhang, Zhimin
2018
Analysis of the superconvergent patch recovery technique and a posteriori error estimator in the finite element method. I. Zbl 1159.74440
Zhang, Zhimin; Zhu, Jianzhong
1995
Analysis of a class of superconvergence patch recovery techniques for linear and bilinear finite elements. Zbl 0920.65067
Li, Bo; Zhang, Zhimin
1999
Error analysis of a discontinuous Galerkin method for Maxwell equations in dispersive media. Zbl 1203.78052
Wang, Bo; Xie, Ziqing; Zhang, Zhimin
2010
Superconvergence of local discontinuous Galerkin methods for one-dimensional linear parabolic equations. Zbl 1327.65191
Cao, Waixiang; Zhang, Zhimin
2016
Superconvergence of DG method for one-dimensional singularly perturbed problems. Zbl 1142.65388
Xie, Ziqing; Zhang, Zhimin
2007
Linearized Galerkin FEMs for nonlinear time fractional parabolic problems with non-smooth solutions in time direction. Zbl 1418.65179
Li, Dongfang; Wu, Chengda; Zhang, Zhimin
2019
Enhancing eigenvalue approximation by gradient recovery. Zbl 1148.65087
Naga, Ahmed; Zhang, Zhimin; Zhou, Aihui
2006
Superconvergence of discontinuous Galerkin methods for convection-diffusion problems. Zbl 1203.65121
Zhang, Zuozheng; Xie, Ziqing; Zhang, Zhimin
2009
A numerical study of uniform superconvergence of LDG method for solving singularly perturbed problems. Zbl 1212.65422
Xie, Ziqing; Zhang, Zuozheng; Zhang, Zhimin
2009
Natural superconvergence points in three-dimensional finite elements. Zbl 1168.65059
Lin, Runchang; Zhang, Zhimin
2008
Eigenvalue approximation from below by Wilson’s element. Zbl 1142.65435
Zhang, Zhimin; Yang, Yidu; Chen, Zhen
2007
Analysis of the superconvergent patch recovery technique and a posteriori error estimator in the finite element method. II. Zbl 0941.65116
Zhang, Zhimin; Zhu, J. Z.
1998
Ultraconvergence of the patch recovery technique. Zbl 0853.65116
Zhang, Zhimin
1996
Function value recovery and its application in eigenvalue problems. Zbl 1246.65214
Naga, Ahmed; Zhang, Zhimin
2012
Superconvergence of any order finite volume schemes for 1D general elliptic equations. Zbl 1276.65044
Cao, Waixiang; Zhang, Zhimin; Zou, Qingsong
2013
Superconvergence points of polynomial spectral interpolation. Zbl 1262.65020
Zhang, Zhimin
2012
An anti-interpenetration model and connections between interphase and interface models in particle-reinforced composites. Zbl 1192.74084
Wang, J.; Duan, H. L.; Zhang, Z.; Huang, Z. P.
2005
Superconvergence of spectral collocation and $$p$$-version methods in one dimensional problems. Zbl 1126.65066
Zhang, Zhimin
2005
Superconvergence of discontinuous Galerkin methods based on upwind-biased fluxes for 1D linear hyperbolic equations. Zbl 1367.65127
Cao, Waixiang; Li, Dongfang; Yang, Yang; Zhang, Zhimin
2017
Superconvergence of discontinuous Galerkin method for scalar nonlinear hyperbolic equations. Zbl 1450.65116
Cao, Waixiang; Shu, Chi-Wang; Yang, Yang; Zhang, Zhimin
2018
How many numerical eigenvalues can we trust? Zbl 1329.65265
Zhang, Zhimin
2015
Enhancing eigenvalue approximation by gradient recovery on adaptive meshes. Zbl 1184.65101
Wu, Haijun; Zhang, Zhimin
2009
Mathematical analysis of Zienkiewicz-Zhu’s derivative patch recovery technique. Zbl 0858.65115
Zhang, Zhimin; Victory, Harold Dean jun.
1996
Is $$2k$$-conjecture valid for finite volume methods? Zbl 1327.65216
Cao, Waixiang; Zhang, Zhimin; Zou, Qingsong
2015
Numerical methods for controlled regime-switching diffusions and regime-switching jump diffusions. Zbl 1117.93370
Song, Q. S.; Yin, G.; Zhang, Z.
2006
Polynomial preserving gradient recovery and a posteriori estimate for bilinear element on irregular quadrilaterals. Zbl 1071.65145
Zhang, Zhimin
2004
Optimal fractional integration preconditioning and error analysis of fractional collocation method using nodal generalized Jacobi functions. Zbl 1353.65086
Huang, Can; Jiao, Yujian; Wang, Li-Lian; Zhang, Zhimin
2016
Superconvergence of immersed finite element methods for interface problems. Zbl 1380.65365
Cao, Waixiang; Zhang, Xu; Zhang, Zhimin
2017
Superconvergence of the direct discontinuous Galerkin method for convection-diffusion equations. Zbl 1361.65061
Cao, Waixiang; Liu, Hailiang; Zhang, Zhimin
2017
A family of finite volume schemes of arbitrary order on rectangular meshes. Zbl 1296.65140
Zhang, Zhimin; Zou, Qingsong
2014
Superconvergence of a Chebyshev spectral collocation method. Zbl 1151.65067
Zhang, Zhimin
2008
Numerical solutions for jump-diffusions with regime switching. Zbl 1071.60050
Yin, G.; Song, Q. S.; Zhang, Z.
2005
Wilson’s element for the Reissner-Mindlin plate. Zbl 0847.73070
Zhang, Zhimin; Zhang, Shangyou
1994
A new approach for numerical simulation of the time-dependent Ginzburg-Landau equations. Zbl 1349.65455
Li, Buyang; Zhang, Zhimin
2015
Gradient recovery for the Crouzeix-Raviart element. Zbl 1325.65153
Guo, Hailong; Zhang, Zhimin
2015
Convergence analysis of the LDG method for singularly perturbed two-point boundary value problems. Zbl 1281.65106
Zhu, Huiqing; Tian, Haiyan; Zhang, Zhimin
2011
Supergeometric convergence of a spectral collocation method for weakly singular Volterra and Fredholm integral equations with smooth solutions. Zbl 1265.65269
Huang, Can; Tang, Tao; Zhang, Zhimin
2011
Numerical solutions for stochastic differential games with regime switching. Zbl 1367.91028
Song, Qingshuo; Yin, G. George; Zhang, Zhimin
2008
Superconvergence of discontinuous Galerkin methods for 1-D linear hyperbolic equations with degenerate variable coefficients. Zbl 1382.65274
Cao, Waixiang; Shu, Chi-Wang; Zhang, Zhimin
2017
On $$hp$$-convergence of prolate spheroidal wave functions and a new well-conditioned prolate-collocation scheme. Zbl 1349.65255
Wang, Li-Lian; Zhang, Jing; Zhang, Zhimin
2014
Superconvergence of Jacobi-Gauss-type spectral interpolation. Zbl 1308.65022
Wang, Li-Lian; Zhao, Xiaodan; Zhang, Zhimin
2014
Locating natural superconvergent points of finite element methods in 3D. Zbl 1071.65140
Zhang, Zhimin; Lin, Runchang
2005
Ultraconvergence of ZZ patch recovery at mesh symmetry points. Zbl 1045.65096
Zhang, Zhimin; Lin, Runchang
2003
Derivative superconvergent points in finite element solutions of Poisson’s equation for the serendipity and intermediate families – a theoretical justification. Zbl 0893.65056
Zhang, Zhimin
1998
Splines and linear control theory. Zbl 0892.41008
Zhang, Zhimin; Tomlinson, John; Martin, Clyde
1997
Superconvergent two-grid methods for elliptic eigenvalue problems. Zbl 1365.65245
Guo, Hailong; Zhang, Zhimin; Zhao, Ren
2017
The partition of unity method for the elastically supported beam. Zbl 0959.74078
Babuška, Ivo; Zhang, Zhimin
1998
Spectral methods for substantial fractional differential equations. Zbl 1398.65317
Huang, Can; Zhang, Zhimin; Song, Qingshuo
2018
A $$C^0$$ linear finite element method for two fourth-order eigenvalue problems. Zbl 1433.65267
Chen, Hongtao; Guo, Hailong; Zhang, Zhimin; Zou, Qingsong
2017
Optimal superconvergence of energy conserving local discontinuous Galerkin methods for wave equations. Zbl 1388.65097
Cao, Waixiang; Li, Dongfang; Zhang, Zhimin
2017
Mathematical and numerical analysis of the time-dependent Ginzburg-Landau equations in nonconvex polygons based on Hodge decomposition. Zbl 1362.78007
Li, Buyang; Zhang, Zhimin
2017
Edge-based smoothed extended finite element method for dynamic fracture analysis. Zbl 07163033
Wu, L.; Liu, P.; Shi, C.; Zhang, Z.; Bui, Tinh Quoc; Jiao, D.
2016
Superconvergence points of fractional spectral interpolation. Zbl 1416.65483
Zhao, Xuan; Zhang, Zhimin
2016
Uniform convergence of the LDG method for a singularly perturbed problem with the exponential boundary layer. Zbl 1282.65159
Zhu, Huiqing; Zhang, Zhimin
2014
Polynomial preserving recovery for meshes from Delaunay triangulation or with high aspect ratio. Zbl 1148.65092
Zhang, Zhimin
2008
Superconvergent derivative recovery for the intermediate finite element family of the second type. Zbl 0989.65125
Zhang, Zhimin; Yan, Ningning; Sun, Tong
2001
Locking and robustness in the finite element method for circular arch problem. Zbl 0822.65089
Zhang, Zhimin
1995
Superconvergence analysis and PPR recovery of arbitrary order edge elements for Maxwell’s equations. Zbl 1417.65208
Wang, Lixiu; Zhang, Qian; Zhang, Zhimin
2019
A $$C^0$$ linear finite element method for biharmonic problems. Zbl 1398.65300
Guo, Hailong; Zhang, Zhimin; Zou, Qingsong
2018
Numerical solution to a linearized time fractional KdV equation on unbounded domains. Zbl 1381.65071
Zhang, Qian; Zhang, Jiwei; Jiang, Shidong; Zhang, Zhimin
2018
A hybridizable weak Galerkin method for the Helmholtz equation with large wave number: $$hp$$ analysis. Zbl 1429.65278
Wang, Jiangxing; Zhang, Zhimin
2017
Comparison of a spectral collocation method and symplectic methods for Hamiltonian systems. Zbl 1211.65162
Kanyamee, Nairat; Zhang, Zhimin
2011
Natural superconvergent points of triangular finite elements. Zbl 1068.65123
Lin, Runchang; Zhang, Zhimin
2004
Polynomial preserving recovery for anisotropic and irregular grids. Zbl 1055.65133
Zhang, Zhimin
2004
Computing the Gerber-Shiu function by frame duality projection. Zbl 1411.91320
Wang, Wenyuan; Zhang, Zhimin
2019
Superconvergence of immersed finite volume methods for one-dimensional interface problems. Zbl 1384.65045
Cao, Waixiang; Zhang, Xu; Zhang, Zhimin; Zou, Qingsong
2017
Polynomial preserving recovery on boundary. Zbl 1338.65260
Guo, Hailong; Zhang, Zhimin; Zhao, Ren; Zou, Qingsong
2016
A new adaptive mixed finite element method based on residual type a posterior error estimates for the Stokes eigenvalue problem. Zbl 1338.65237
Han, Jiayu; Zhang, Zhimin; Yang, Yidu
2015
Nodal superconvergence of SDFEM for singularly perturbed problems. Zbl 1244.65109
Celiker, Fatih; Zhang, Zhimin; Zhu, Huiqing
2012
Adaptive finite element methods for the Laplace eigenvalue problem. Zbl 1222.65122
Hoppe, R. H. W.; Wu, H.; Zhang, Z.
2010
Invalidity of decoupling a biharmonic equation to two Poisson equations on non-convex polygons. Zbl 1136.35024
Zhang, Sheng; Zhang, Zhimin
2008
Derivative superconvergent points in finite element solutions of harmonic functions – a theoretical justification. Zbl 1007.65081
Zhang, Zhimin
2002
Convergence and Gibbs’ phenomenon in the cubic spline interpolation of discontinuous functions. Zbl 0898.41007
Zhang, Zhimin; Martin, Clyde F.
1997
Treatments of discontinuity and bubble functions in the multigrid method. Zbl 0870.65111
Zhang, Shangyou; Zhang, Zhimin
1997
Derivative superconvergence of rectangular finite elements for the Reissner-Mindlin plate. Zbl 0891.73071
Zhang, Zhimin; Zhang, Shangyou
1996
Superconvergence of local discontinuous Galerkin method for one-dimensional linear Schrödinger equations. Zbl 1383.65106
Zhou, Lingling; Xu, Yan; Zhang, Zhimin; Cao, Waixiang
2017
Ultraconvergence of high order FEMs for elliptic problems with variable coefficients. Zbl 1365.65254
He, Wen-Ming; Zhang, Zhimin; Zou, Qingsong
2017
$$2k$$ superconvergence of $$Q_k$$ finite elements by anisotropic mesh approximation in weighted Sobolev spaces. Zbl 1361.65085
He, Wenming; Zhang, Zhimin
2017
Efficient spectral and spectral element methods for eigenvalue problems of Schrödinger equations with an inverse square potential. Zbl 1355.65150
Li, Huiyuan; Zhang, Zhimin
2017
Ultraconvergence of finite element method by Richardson extrapolation for elliptic problems with constant coefficients. Zbl 1342.65207
He, Wen-Ming; Lin, Runchang; Zhang, Zhimin
2016
Superconvergence of conforming finite element for fourth-order singularly perturbed problems of reaction diffusion type in 1D. Zbl 1293.65106
Guo, Hailong; Huang, Can; Zhang, Zhimin
2014
Convergence analysis of the LDG method applied to singularly perturbed problems. Zbl 1267.65157
Zhu, Huiqing; Zhang, Zhimin
2013
Unified analysis of time domain mixed finite element methods for Maxwell’s equations in dispersive media. Zbl 1240.78024
Li, Jichun; Zhang, Zhimin
2010
Sharp $$H^1$$-norm error estimates of two time-stepping schemes for reaction-subdiffusion problems. Zbl 07309610
Ren, Jincheng; Liao, Hong-lin; Zhang, Jiwei; Zhang, Zhimin
2021
A CG-DG method for Maxwell’s equations in Cole-Cole dispersive media. Zbl 07337468
Wang, Jiangxing; Zhang, Jiwei; Zhang, Zhimin
2021
Analysis of adaptive BDF2 scheme for diffusion equations. Zbl 07328919
Liao, Hong-Lin; Zhang, Zhimin
2021
Finite element methods based on two families of second-order numerical formulas for the fractional cable model with smooth solutions. Zbl 1445.65036
Yin, Baoli; Liu, Yang; Li, Hong; Zhang, Zhimin
2020
Approximation of the multi-dimensional incompressible Navier-Stokes equations by discrete-velocity vector-BGK models. Zbl 1446.35111
Zhao, Jin; Zhang, Zhimin; Yong, Wen-An
2020
A new $$P_1$$ weak Galerkin method for the biharmonic equation. Zbl 1427.65342
Ye, Xiu; Zhang, Shangyou; Zhang, Zhimin
2020
A modified immersed finite volume element method for elliptic interface problems. Zbl 1451.65174
Wang, Q.; Zhang, Z.
2020
Superconvergence error estimate of a finite element method on nonuniform time meshes for reaction-subdiffusion equations. Zbl 1452.65247
Ren, Jincheng; Liao, Hong-lin; Zhang, Zhimin
2020
A spectrally accurate approximation to subdiffusion equations using the log orthogonal functions. Zbl 1434.65291
Chen, Sheng; Shen, Jie; Zhang, Zhimin; Zhou, Zhi
2020
A new finite element approach for the Dirichlet eigenvalue problem. Zbl 07187417
Xiao, Wenqiang; Gong, Bo; Sun, Jiguang; Zhang, Zhimin
2020
Ball prolate spheroidal wave functions in arbitrary dimensions. Zbl 1445.42018
Zhang, Jing; Li, Huiyuan; Wang, Li-Lian; Zhang, Zhimin
2020
Superconvergence analysis of linear FEM based on polynomial preserving recovery for Helmholtz equation with high wave number. Zbl 1434.65251
Du, Yu; Wu, Haijun; Zhang, Zhimin
2020
Linearized Galerkin FEMs for nonlinear time fractional parabolic problems with non-smooth solutions in time direction. Zbl 1418.65179
Li, Dongfang; Wu, Chengda; Zhang, Zhimin
2019
Superconvergence analysis and PPR recovery of arbitrary order edge elements for Maxwell’s equations. Zbl 1417.65208
Wang, Lixiu; Zhang, Qian; Zhang, Zhimin
2019
Computing the Gerber-Shiu function by frame duality projection. Zbl 1411.91320
Wang, Wenyuan; Zhang, Zhimin
2019
Asymptotics for a bidimensional risk model with two geometric Lévy price processes. Zbl 1438.91119
Yang, Yang; Wang, Kaiyong; Liu, Jiajun; Zhang, Zhimin
2019
Acceleration of weak Galerkin methods for the Laplacian eigenvalue problem. Zbl 1419.65128
Zhai, Qilong; Xie, Hehu; Zhang, Ran; Zhang, Zhimin
2019
Optimal loss-carry-forward taxation for Lévy risk processes stopped at general draw-down time. Zbl 1427.60084
Wang, Wenyuan; Zhang, Zhimin
2019
Superconvergence points for the spectral interpolation of Riesz fractional derivatives. Zbl 1434.65292
Deng, Beichuan; Zhang, Zhimin; Zhao, Xuan
2019
$$C^1$$-conforming quadrilateral spectral element method for fourth-order equations. Zbl 1449.65334
Li, Huiyuan; Shan, Weikun; Zhang, Zhimin
2019
A curl-conforming weak Galerkin method for the quad-curl problem. Zbl 1427.65378
Sun, Jiguang; Zhang, Qian; Zhang, Zhimin
2019
$$H(\mathrm{curl}^2)$$-conforming finite elements in 2 dimensions and applications to the quad-curl problem. Zbl 1422.65420
Zhang, Qian; Wang, Lixiu; Zhang, Zhimin
2019
Supercloseness of linear DG-FEM and its superconvergence based on the polynomial preserving recovery for Helmholtz equation. Zbl 1422.65349
Du, Yu; Zhang, Zhimin
2019
Novel spectral methods for Schrödinger equations with an inverse square potential on the whole space. Zbl 1416.65481
Ma, Suna; Li, Huiyuan; Zhang, Zhimin
2019
Convergence analysis of a discontinuous Galerkin method for wave equations in second-order form. Zbl 1450.65119
Du, Yu; Zhang, Lu; Zhang, Zhimin
2019
Unconditionally optimal error estimates of a linearized Galerkin method for nonlinear time fractional reaction-subdiffusion equations. Zbl 1397.65173
Li, Dongfang; Zhang, Jiwei; Zhang, Zhimin
2018
Superconvergence of discontinuous Galerkin method for scalar nonlinear hyperbolic equations. Zbl 1450.65116
Cao, Waixiang; Shu, Chi-Wang; Yang, Yang; Zhang, Zhimin
2018
Spectral methods for substantial fractional differential equations. Zbl 1398.65317
Huang, Can; Zhang, Zhimin; Song, Qingshuo
2018
A $$C^0$$ linear finite element method for biharmonic problems. Zbl 1398.65300
Guo, Hailong; Zhang, Zhimin; Zou, Qingsong
2018
Numerical solution to a linearized time fractional KdV equation on unbounded domains. Zbl 1381.65071
Zhang, Qian; Zhang, Jiwei; Jiang, Shidong; Zhang, Zhimin
2018
Supercloseness analysis and polynomial preserving recovery for a class of weak Galerkin methods. Zbl 1390.65150
Wang, Ruishu; Zhang, Ran; Zhang, Xu; Zhang, Zhimin
2018
Maximum-norms error estimates for high-order finite volume schemes over quadrilateral meshes. Zbl 1421.65027
He, Wenming; Zhang, Zhimin; Zou, Qingsong
2018
Superconvergence of partially penalized immersed finite element methods. Zbl 06983874
Guo, Hailong; Yang, Xu; Zhang, Zhimin
2018
Superconvergence analysis of high-order rectangular edge elements for time-harmonic Maxwell’s equations. Zbl 1388.78012
Sun, Ming; Li, Jichun; Wang, Peizhen; Zhang, Zhimin
2018
Some recent developments in superconvergence of discontinuous Galerkin methods for time-dependent partial differential equations. Zbl 1407.65154
Cao, Waixiang; Zhang, Zhimin
2018
An efficient epistemic uncertainty analysis method using evidence theory. Zbl 1441.65010
Zhang, Z.; Ruan, X. X.; Duan, M. F.; Jiang, C.
2018
Efficient spectral methods for some singular eigenvalue problems. Zbl 1407.65311
Ma, Suna; Li, Huiyuan; Zhang, Zhimin
2018
Superconvergence of discontinuous Galerkin methods based on upwind-biased fluxes for 1D linear hyperbolic equations. Zbl 1367.65127
Cao, Waixiang; Li, Dongfang; Yang, Yang; Zhang, Zhimin
2017
Superconvergence of immersed finite element methods for interface problems. Zbl 1380.65365
Cao, Waixiang; Zhang, Xu; Zhang, Zhimin
2017
Superconvergence of the direct discontinuous Galerkin method for convection-diffusion equations. Zbl 1361.65061
Cao, Waixiang; Liu, Hailiang; Zhang, Zhimin
2017
Superconvergence of discontinuous Galerkin methods for 1-D linear hyperbolic equations with degenerate variable coefficients. Zbl 1382.65274
Cao, Waixiang; Shu, Chi-Wang; Zhang, Zhimin
2017
Superconvergent two-grid methods for elliptic eigenvalue problems. Zbl 1365.65245
Guo, Hailong; Zhang, Zhimin; Zhao, Ren
2017
A $$C^0$$ linear finite element method for two fourth-order eigenvalue problems. Zbl 1433.65267
Chen, Hongtao; Guo, Hailong; Zhang, Zhimin; Zou, Qingsong
2017
Optimal superconvergence of energy conserving local discontinuous Galerkin methods for wave equations. Zbl 1388.65097
Cao, Waixiang; Li, Dongfang; Zhang, Zhimin
2017
Mathematical and numerical analysis of the time-dependent Ginzburg-Landau equations in nonconvex polygons based on Hodge decomposition. Zbl 1362.78007
Li, Buyang; Zhang, Zhimin
2017
A hybridizable weak Galerkin method for the Helmholtz equation with large wave number: $$hp$$ analysis. Zbl 1429.65278
Wang, Jiangxing; Zhang, Zhimin
2017
Superconvergence of immersed finite volume methods for one-dimensional interface problems. Zbl 1384.65045
Cao, Waixiang; Zhang, Xu; Zhang, Zhimin; Zou, Qingsong
2017
Superconvergence of local discontinuous Galerkin method for one-dimensional linear Schrödinger equations. Zbl 1383.65106
Zhou, Lingling; Xu, Yan; Zhang, Zhimin; Cao, Waixiang
2017
Ultraconvergence of high order FEMs for elliptic problems with variable coefficients. Zbl 1365.65254
He, Wen-Ming; Zhang, Zhimin; Zou, Qingsong
2017
$$2k$$ superconvergence of $$Q_k$$ finite elements by anisotropic mesh approximation in weighted Sobolev spaces. Zbl 1361.65085
He, Wenming; Zhang, Zhimin
2017
Efficient spectral and spectral element methods for eigenvalue problems of Schrödinger equations with an inverse square potential. Zbl 1355.65150
Li, Huiyuan; Zhang, Zhimin
2017
Hessian recovery for finite element methods. Zbl 1361.65087
Guo, Hailong; Zhang, Zhimin; Zhao, Ren
2017
The compound Poisson risk model under a mixed dividend strategy. Zbl 1427.91080
Zhang, Zhimin; Han, Xiao
2017
A postprocessed flux conserving finite element solution. Zbl 1384.65085
Zhang, Shangyou; Zhang, Zhimin; Zou, Qingsong
2017
Oscillation theorems for impulsive parabolic differential system of neutral type. Zbl 1364.35430
Zhang, Zhimin; Liu, An-Ping; Zou, Min
2017
Optimal spectral schemes based on generalized prolate spheroidal wave functions of order $$-1$$. Zbl 1359.65139
Zhang, Jing; Wang, Li-Lian; Li, Huiyuan; Zhang, Zhimin
2017
Superconvergence of local discontinuous Galerkin methods for one-dimensional linear parabolic equations. Zbl 1327.65191
Cao, Waixiang; Zhang, Zhimin
2016
Optimal fractional integration preconditioning and error analysis of fractional collocation method using nodal generalized Jacobi functions. Zbl 1353.65086
Huang, Can; Jiao, Yujian; Wang, Li-Lian; Zhang, Zhimin
2016
Edge-based smoothed extended finite element method for dynamic fracture analysis. Zbl 07163033
Wu, L.; Liu, P.; Shi, C.; Zhang, Z.; Bui, Tinh Quoc; Jiao, D.
2016
Superconvergence points of fractional spectral interpolation. Zbl 1416.65483
Zhao, Xuan; Zhang, Zhimin
2016
Polynomial preserving recovery on boundary. Zbl 1338.65260
Guo, Hailong; Zhang, Zhimin; Zhao, Ren; Zou, Qingsong
2016
Ultraconvergence of finite element method by Richardson extrapolation for elliptic problems with constant coefficients. Zbl 1342.65207
He, Wen-Ming; Lin, Runchang; Zhang, Zhimin
2016
A recovery based linear finite element method for 1D bi-harmonic problems. Zbl 1350.65122
Chen, Hongtao; Zhang, Zhimin; Zou, Qingsong
2016
A posteriori error analysis of multipoint flux mixed finite element methods for interface problems. Zbl 1350.65113
Du, Shaohong; Lin, Runchang; Zhang, Zhimin
2016
Vertex-centered finite volume schemes of any order over quadrilateral meshes for elliptic boundary value problems. Zbl 1338.65233
Zhang, Zhimin; Zou, Qingsong
2015
Superconvergence of discontinuous Galerkin methods for two-dimensional hyperbolic equations. Zbl 1328.65195
Cao, Waixiang; Shu, Chi-Wang; Yang, Yang; Zhang, Zhimin
2015
How many numerical eigenvalues can we trust? Zbl 1329.65265
Zhang, Zhimin
2015
Is $$2k$$-conjecture valid for finite volume methods? Zbl 1327.65216
Cao, Waixiang; Zhang, Zhimin; Zou, Qingsong
2015
A new approach for numerical simulation of the time-dependent Ginzburg-Landau equations. Zbl 1349.65455
Li, Buyang; Zhang, Zhimin
2015
Gradient recovery for the Crouzeix-Raviart element. Zbl 1325.65153
Guo, Hailong; Zhang, Zhimin
2015
A new adaptive mixed finite element method based on residual type a posterior error estimates for the Stokes eigenvalue problem. Zbl 1338.65237
Han, Jiayu; Zhang, Zhimin; Yang, Yidu
2015
Convergence of a $$p$$-version/$$hp$$-version method for fractional differential equations. Zbl 1354.65158
Huang, Can; Zhang, Zhimin
2015
Polynomial preserving recovery of an over-penalized symmetric interior penalty Galerkin method for elliptic problems. Zbl 1334.65185
Song, Lunji; Zhang, Zhimin
2015
A robust residual-type a posteriori error estimator for convection-diffusion equations. Zbl 1333.65121
Du, Shaohong; Zhang, Zhimin
2015
Superconvergence property of an over-penalized discontinuous Galerkin finite element gradient recovery method. Zbl 1352.65552
Song, Lunji; Zhang, Zhimin
2015
Superconvergence of discontinuous Galerkin methods for linear hyperbolic equations. Zbl 1331.65128
Cao, Waixiang; Zhang, Zhimin; Zou, Qingsong
2014
A family of finite volume schemes of arbitrary order on rectangular meshes. Zbl 1296.65140
Zhang, Zhimin; Zou, Qingsong
2014
On $$hp$$-convergence of prolate spheroidal wave functions and a new well-conditioned prolate-collocation scheme. Zbl 1349.65255
Wang, Li-Lian; Zhang, Jing; Zhang, Zhimin
2014
Superconvergence of Jacobi-Gauss-type spectral interpolation. Zbl 1308.65022
Wang, Li-Lian; Zhao, Xiaodan; Zhang, Zhimin
2014
Uniform convergence of the LDG method for a singularly perturbed problem with the exponential boundary layer. Zbl 1282.65159
Zhu, Huiqing; Zhang, Zhimin
2014
Superconvergence of conforming finite element for fourth-order singularly perturbed problems of reaction diffusion type in 1D. Zbl 1293.65106
Guo, Hailong; Huang, Can; Zhang, Zhimin
2014
The space-time discontinuous Galerkin method for Maxwell equations in dispersive media. Zbl 1324.78018
Wang, Bo; Xie, Ziqing; Zhang, Zhimin
2014
Spectral collocation methods for differential-algebraic equations with arbitrary index. Zbl 1296.65110
Huang, Can; Zhang, Zhimin
2014
Superconvergence of any order finite volume schemes for 1D general elliptic equations. Zbl 1276.65044
Cao, Waixiang; Zhang, Zhimin; Zou, Qingsong
2013
Convergence analysis of the LDG method applied to singularly perturbed problems. Zbl 1267.65157
Zhu, Huiqing; Zhang, Zhimin
2013
Finite volume superconvergence approximation for one-dimensional singularly perturbed problems. Zbl 1299.65152
Cao, Waixiang; Zhang, Zhimin; Zou, Qingsong
2013
Local error estimates of the LDG method for 1-D singularly perturbed problems. Zbl 1290.65068
Zhu, Huiqing; Zhang, Zhimin
2013
The spectral collocation method for stochastic differential equations. Zbl 1263.65004
Huang, Can; Zhang, Zhimin
2013
Almost periodic solution of a modified Leslie-Gower predator-prey model with Beddington-DeAngelis functional response. Zbl 1397.34119
Zhang, Zhimin
2013
Space-time discontinuous Galerkin method for Maxwell’s equations. Zbl 1373.78424
Xie, Ziqing; Wang, Bo; Zhang, Zhimin
2013
Some recent advances on vertex centered finite volume element methods for elliptic equations. Zbl 1304.65235
Zhang, Zhimin; Zou, Qingsong
2013
The long time behavior of a spectral collocation method for delay differential equations of pantograph type. Zbl 1271.34077
Tang, Jie; Xie, Ziqing; Zhang, Zhimin
2013
Pointwise error estimates for the LDG method applied to 1-d singularly perturbed reaction-diffusion problems. Zbl 1284.65089
Zhu, Huiqing; Zhang, Zhimin
2013
A spectral collocation method for eigenvalue problems of compact integral operators. Zbl 1274.65339
Huang, Can; Guo, Hailong; Zhang, Zhimin
2013
Function value recovery and its application in eigenvalue problems. Zbl 1246.65214
Naga, Ahmed; Zhang, Zhimin
2012
Superconvergence points of polynomial spectral interpolation. Zbl 1262.65020
Zhang, Zhimin
2012
Nodal superconvergence of SDFEM for singularly perturbed problems. Zbl 1244.65109
Celiker, Fatih; Zhang, Zhimin; Zhu, Huiqing
2012
Locking-free optimal discontinuous Galerkin methods for a Naghdi-type arch model. Zbl 1311.74111
Celiker, Fatih; Fan, Li; Zhang, Sheng; Zhang, Zhimin
2012
Convergence analysis for least-squares finite element approximations of second-order two-point boundary value problems. Zbl 1248.65081
Lin, Runchang; Zhang, Zhimin
2012
The ultraconvergence of eigenvalues for bi-quadratic finite elements. Zbl 1274.65297
Meng, Lingxiong; Zhang, Zhimin
2012
...and 74 more Documents
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#### Cited by 1,416 Authors

 89 Zhang, Zhimin 35 Huang, Yunqing 23 Baccouch, Mahboub 23 Yang, Yidu 22 Zou, Qingsong 21 Li, Jichun 15 He, Wenming 14 Cao, Waixiang 14 Guo, Hailong 12 Bi, Hai 12 Hu, Jun 12 Zhu, Qiding 11 Li, Huiyuan 11 Shu, Chi-Wang 11 Xie, Hehu 11 Yang, Wei 10 Lin, Qun 10 Martin, Clyde Franklin 10 Wang, Lilian 10 Yi, Nianyu 9 Huang, Can 9 Liu, Jinghong 9 Liu, Xiaowei 9 Shi, Dongyang 9 Wu, Boying 9 Xie, Xiaoping 9 Yi, Lijun 9 Zhang, Jin 9 Zhang, Shangyou 8 Chen, Yanping 8 Li, Dongfang 8 Zhou, Aihui 7 Celiker, Fatih 7 Franz, Sebastian 7 Gunzburger, Max D. 7 Han, Jiayu 7 Li, Yonghai 7 Shi, Zhongci 7 Stynes, Martin 7 Wu, Jiming 7 Xu, Jinchao 6 Cai, Zhiqiang 6 Dehghan Takht Fooladi, Mehdi 6 Huang, Weizhang 6 Li, Hao 6 Lin, Yanping 6 Liu, Huipo 6 Meng, Xiong 6 Mu, Lin 6 Roos, Hans-Görg 6 Sun, Weiwei 6 Xie, Ziqing 6 Yan, Ningning 6 Yin, Gang George 6 Zhao, Ren 5 Chen, Long 5 Feng, Xinlong 5 Fortin, André 5 Gao, Huadong 5 Jin, Zhuo 5 Karniadakis, George Em 5 Kim, Kwang Yeon 5 Li, Buyang 5 Li, Hengguang 5 Li, Hong 5 Lin, Runchang 5 Liu, Wen-Jie 5 Liu, Yang 5 Ovall, Jeffrey S. 5 Wang, Zhongqing 5 Wu, Chao 5 Yang, Min 5 Yao, Changhui 5 Ye, Xiu 5 Yin, Baoli 5 Zhang, Jiwei 5 Zhang, Mengping 5 Zhang, Qiang 5 Zhao, Shan 5 Zhu, Huiqing 5 Zhu, Peng 4 Carstensen, Carsten 4 Chen, Shaochun 4 Chen, Xiaoli 4 Cheng, Yingda 4 Cui, Junzhi 4 Du, Yu 4 Huang, Chaobao 4 Javili, Ali 4 Jiang, Chao 4 Lamichhane, Bishnu Prasad 4 Li, Ruo 4 Li, Yuwen 4 Li, Zhilin 4 Li, Zi-Cai 4 Lin, Tao 4 Liu, Hailiang 4 Mao, Shipeng 4 Mei, Liquan 4 Ming, Pingbing ...and 1,316 more Authors
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#### Cited in 143 Serials

 119 Journal of Scientific Computing 79 Computer Methods in Applied Mechanics and Engineering 72 Journal of Computational and Applied Mathematics 59 Applied Numerical Mathematics 47 Mathematics of Computation 45 Applied Mathematics and Computation 42 Computers & Mathematics with Applications 41 Journal of Computational Physics 34 SIAM Journal on Numerical Analysis 30 Numerische Mathematik 30 Numerical Methods for Partial Differential Equations 22 SIAM Journal on Scientific Computing 21 Applied Mathematical Modelling 20 Advances in Computational Mathematics 15 Numerical Algorithms 15 Science China. Mathematics 14 Applied Mathematics Letters 14 Discrete and Continuous Dynamical Systems. Series B 10 International Journal for Numerical Methods in Engineering 10 Mathematics and Computers in Simulation 9 Journal of Mathematical Analysis and Applications 9 Mathematical Problems in Engineering 7 BIT 7 Applications of Mathematics 7 Computational and Applied Mathematics 7 Engineering Analysis with Boundary Elements 7 Abstract and Applied Analysis 7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 6 Mathematical Methods in the Applied Sciences 6 Automatica 6 Science in China. Series A 5 Acta Mechanica 5 International Journal of Computer Mathematics 5 Computational Methods in Applied Mathematics 5 International Journal of Computational Methods 5 East Asian Journal on Applied Mathematics 5 Communications on Applied Mathematics and Computation 4 Journal of the Mechanics and Physics of Solids 4 Calcolo 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 European Journal of Mechanics. A. Solids 4 Advances in Difference Equations 3 Numerical Functional Analysis and Optimization 3 Journal of Difference Equations and Applications 3 Engineering Computations 3 Journal of Systems Science and Complexity 3 Electronic Research Archive 2 Computers and Fluids 2 International Journal of Control 2 International Journal of Engineering Science 2 Journal of Mathematical Biology 2 Applied Mathematics and Mechanics. (English Edition) 2 Computational Mechanics 2 Mathematical and Computer Modelling 2 Japan Journal of Industrial and Applied Mathematics 2 European Journal of Operational Research 2 Stochastic Processes and their Applications 2 Computational Statistics and Data Analysis 2 Potential Analysis 2 Mathematics and Mechanics of Solids 2 Discrete Dynamics in Nature and Society 2 Communications in Nonlinear Science and Numerical Simulation 2 Scandinavian Actuarial Journal 2 Foundations of Computational Mathematics 2 Journal of Numerical Mathematics 2 Central European Journal of Mathematics 2 Mathematical Biosciences and Engineering 2 Journal of Industrial and Management Optimization 2 Mathematical Control and Related Fields 2 Journal of Function Spaces 2 Korean Journal of Mathematics 1 International Journal of Heat and Mass Transfer 1 International Journal for Numerical Methods in Fluids 1 Inverse Problems 1 Letters in Mathematical Physics 1 Lithuanian Mathematical Journal 1 Chaos, Solitons and Fractals 1 Journal of Multivariate Analysis 1 Mathematische Nachrichten 1 Monatshefte für Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 SIAM Journal on Control and Optimization 1 Insurance Mathematics & Economics 1 Bulletin of the Korean Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Stochastic Analysis and Applications 1 Computer Aided Geometric Design 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of Complexity 1 MCSS. Mathematics of Control, Signals, and Systems 1 Journal of Integral Equations and Applications 1 Computational Mathematics and Mathematical Physics 1 Journal of Elasticity 1 Linear Algebra and its Applications 1 Archive of Applied Mechanics 1 Continuum Mechanics and Thermodynamics 1 Applied Mathematics. Series B (English Edition) 1 Communications in Numerical Methods in Engineering 1 Applied and Computational Harmonic Analysis 1 Journal of Mathematical Sciences (New York) ...and 43 more Serials
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#### Cited in 37 Fields

 847 Numerical analysis (65-XX) 407 Partial differential equations (35-XX) 142 Mechanics of deformable solids (74-XX) 93 Probability theory and stochastic processes (60-XX) 82 Fluid mechanics (76-XX) 63 Optics, electromagnetic theory (78-XX) 62 Ordinary differential equations (34-XX) 26 Real functions (26-XX) 26 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 25 Calculus of variations and optimal control; optimization (49-XX) 23 Systems theory; control (93-XX) 22 Approximations and expansions (41-XX) 21 Operations research, mathematical programming (90-XX) 19 Statistics (62-XX) 19 Biology and other natural sciences (92-XX) 18 Integral equations (45-XX) 16 Statistical mechanics, structure of matter (82-XX) 12 Special functions (33-XX) 7 Potential theory (31-XX) 6 Classical thermodynamics, heat transfer (80-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Mechanics of particles and systems (70-XX) 3 Operator theory (47-XX) 3 Computer science (68-XX) 3 Quantum theory (81-XX) 2 Difference and functional equations (39-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 2 Functional analysis (46-XX) 2 Astronomy and astrophysics (85-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Differential geometry (53-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX)