## Zhang, Zhimin

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 Author ID: zhang.zhimin Published as: Zhang, Zhimin; Zhang, Z. Homepage: http://www.csrc.ac.cn/~zmzhang External Links: MGP · ResearchGate
 Documents Indexed: 254 Publications since 1992 7 Contributions as Editor Co-Authors: 125 Co-Authors with 195 Joint Publications 4,450 Co-Co-Authors
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### Co-Authors

 21 single-authored 23 Cao, Waixiang 17 Zou, Qingsong 14 Li, Huiyuan 12 Lin, Runchang 10 Huang, Can 10 Xie, Ziqing 9 Guo, Hailong 9 Zhang, Jiwei 8 Zhang, Shangyou 7 He, Wenming 7 Li, Dongfang 7 Naga, Ahmed 7 Zhang, Qian 7 Zhu, Huiqing 6 Sun, Jiguang 6 Wang, Lixiu 5 An, Jing 5 Du, Yu 5 Song, Qingshuo 5 Wang, Lilian 5 Wu, Haijun 5 Xie, Jiayi 4 Du, Shaohong 4 Jia, Lueling 4 Li, Buyang 4 Li, Hong 4 Liao, HongLin 4 Liu, Yang 4 Shu, Chi-Wang 4 Yang, Yidu 4 Yin, Baoli 4 Yin, Gang George 4 Zhao, Jin 4 Zhao, Ren 4 Zhu, Jianzhong 3 Celiker, Fatih 3 Chen, Hongtao 3 Gong, Bo 3 Martin, Clyde Franklin 3 Ren, Jincheng 3 Wang, Bo 3 Wang, Wenyuan 3 Yang, Yang 3 Zhang, Jing 3 Zhang, Ran 2 Babuška, Ivo 2 Clarkson, C. R. 2 Deng, Beichuan 2 Duan, Beiping 2 Fan, Li 2 Guo, Benqi 2 Han, Jiayu 2 Jiang, Shidong 2 Li, Jichun 2 Lin, Fubiao 2 Liu, Anping 2 Ma, Suna 2 Shan, Weikun 2 Shi, Zhongci 2 Song, Lunji 2 Tomlinson, John 2 Wang, Jiangxing 2 Xiao, Wenqiang 2 Xie, Hehu 2 Xu, Yan 2 Yan, Ningning 2 Ye, Xiu 2 Yong, Wen-An 2 Zhai, Qilong 2 Zhang, Sheng 2 Zhang, Zuozheng 2 Zhao, Lewei 1 Allen, Edward James 1 Cao, Yanzhao 1 Chen, Chuanmiao 1 Chen, Hu 1 Chen, Huajie 1 Chen, Zhen 1 Cui, Zhenyu 1 Demkowicz, Leszek F. 1 DeWitt, D. P. 1 Duan, M. F. 1 Duan, Shuyong 1 Dunjko, Vanja 1 Enqvist, Per 1 Falk, Rick 1 Feng, Xiaobing 1 Guan, Hongbo 1 Guo, Yichen 1 Gursul, Ismet 1 Han, Xiangke 1 Han, Xiao 1 Han, Xu 1 Hao, Zhaopeng 1 Hesthaven, Jan S. 1 Hoppe, Ronald H. W. 1 Hu, Jun 1 Hu, Kaibo 1 Huang, Zhongyi 1 Ji, Bingquan ...and 58 more Co-Authors
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### Serials

 41 Journal of Scientific Computing 17 Mathematics of Computation 15 SIAM Journal on Numerical Analysis 13 International Journal of Numerical Analysis and Modeling 12 Journal of Computational and Applied Mathematics 12 Numerical Methods for Partial Differential Equations 11 Journal of Computational Mathematics 11 SIAM Journal on Scientific Computing 10 Discrete and Continuous Dynamical Systems. Series B 10 Communications in Computational Physics 7 Computer Methods in Applied Mechanics and Engineering 6 Journal of Computational Physics 6 Numerische Mathematik 6 Advances in Computational Mathematics 5 International Journal of Heat and Mass Transfer 4 IMA Journal of Numerical Analysis 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Computers & Mathematics with Applications 3 Applied Mathematics and Computation 3 Applied Numerical Mathematics 3 Computational Methods in Applied Mathematics 3 Communications in Mathematical Sciences 3 Science China. Mathematics 2 BIT 2 Insurance Mathematics & Economics 2 Applied Mathematics Letters 2 Applied Mathematical Modelling 2 New Journal of Physics 2 International Journal of Computational Methods 2 Scientia Sinica. Mathematica 2 Communications on Applied Mathematics and Computation 1 Acta Mechanica 1 Advances in Applied Probability 1 International Journal of Mechanical Sciences 1 Journal of Fluid Mechanics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Wave Motion 1 Automatica 1 Calcolo 1 IEEE Transactions on Automatic Control 1 International Journal for Numerical Methods in Engineering 1 Mathematica Numerica Sinica 1 Mathematics in Practice and Theory 1 Acta Applicandae Mathematicae 1 Chinese Journal of Applied Probability and Statistics 1 Journal of Integral Equations and Applications 1 Applications of Mathematics 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Numerical Algorithms 1 Stochastic Processes and their Applications 1 Stochastics and Stochastics Reports 1 Applied and Computational Harmonic Analysis 1 The Korean Journal of Computational & Applied Mathematics 1 Communications in Nonlinear Science and Numerical Simulation 1 The ANZIAM Journal 1 Scandinavian Actuarial Journal 1 Journal of 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 Annals of Applied Mathematics
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### Fields

 220 Numerical analysis (65-XX) 125 Partial differential equations (35-XX) 31 Mechanics of deformable solids (74-XX) 26 Ordinary differential equations (34-XX) 18 Optics, electromagnetic theory (78-XX) 13 Approximations and expansions (41-XX) 13 Probability theory and stochastic processes (60-XX) 12 Fluid mechanics (76-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Real functions (26-XX) 7 General and overarching topics; collections (00-XX) 7 Special functions (33-XX) 5 Integral equations (45-XX) 4 Statistics (62-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Quantum theory (81-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Systems theory; control (93-XX) 2 Potential theory (31-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Biology and other natural sciences (92-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Computer science (68-XX)

### Citations contained in zbMATH Open

205 Publications have been cited 2,271 times in 1,237 Documents Cited by Year
A new finite element gradient recovery method: Superconvergence property. Zbl 1078.65110
Zhang, Zhimin; Naga, Ahmed
2005
Finite element and difference approximation of some linear stochastic partial differential equations. Zbl 0907.65147
Allen, E. J.; Novosel, S. J.; Zhang, Z.
1998
Analysis of recovery type a posteriori error estimators for mildly structured grids. Zbl 1050.65103
Xu, Jinchao; Zhang, Zhimin
2004
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
Fast evaluation of the Caputo fractional derivative and its applications to fractional diffusion equations. Zbl 1488.65247
Jiang, Shidong; Zhang, Jiwei; Zhang, Qian; Zhang, Zhimin
2017
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
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 linear hyperbolic equations. Zbl 1331.65128
Cao, Waixiang; Zhang, Zhimin; Zou, Qingsong
2014
Eigenvalue approximation from below using non-conforming finite elements. Zbl 1187.65125
Yang, Yidu; Zhang, Zhimin; Lin, Fubiao
2010
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 methods for two-dimensional hyperbolic equations. Zbl 1328.65195
Cao, Waixiang; Shu, Chi-Wang; Yang, Yang; Zhang, Zhimin
2015
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
Wu, Haijun; Zhang, Zhimin
2007
Ultraconvergence of the patch recovery technique II. Zbl 0936.65132
Zhang, Zhimin
2000
Uniform superconvergence analysis of the discontinuous Galerkin method for a singularly perturbed problem in 1-D. Zbl 1208.65118
Xie, Ziqing; Zhang, Zhimin
2010
Error analysis of a discontinuous Galerkin method for Maxwell equations in dispersive media. Zbl 1203.78052
Wang, Bo; Xie, Ziqing; Zhang, Zhimin
2010
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
Superconvergence of local discontinuous Galerkin methods for one-dimensional linear parabolic equations. Zbl 1327.65191
Cao, Waixiang; Zhang, Zhimin
2016
Analysis of a class of superconvergence patch recovery techniques for linear and bilinear finite elements. Zbl 0920.65067
Li, Bo; Zhang, Zhimin
1999
A numerical study of uniform superconvergence of LDG method for solving singularly perturbed problems. Zbl 1212.65422
Xie, Ziqing; Zhang, Zuozheng; Zhang, Zhimin
2009
Superconvergence of the direct discontinuous Galerkin method for convection-diffusion equations. Zbl 1361.65061
Cao, Waixiang; Liu, Hailiang; Zhang, Zhimin
2017
Optimal superconvergence of energy conserving local discontinuous Galerkin methods for wave equations. Zbl 1388.65097
Cao, Waixiang; Li, Dongfang; Zhang, Zhimin
2017
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
Superconvergence of DG method for one-dimensional singularly perturbed problems. Zbl 1142.65388
Xie, Ziqing; Zhang, Zhimin
2007
Enhancing eigenvalue approximation by gradient recovery. Zbl 1148.65087
Naga, Ahmed; Zhang, Zhimin; Zhou, Aihui
2006
Natural superconvergence points in three-dimensional finite elements. Zbl 1168.65059
Lin, Runchang; Zhang, Zhimin
2008
Numerical methods for controlled regime-switching diffusions and regime-switching jump diffusions. Zbl 1117.93370
Song, Q. S.; Yin, G.; Zhang, Z.
2006
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
Ultraconvergence of the patch recovery technique. Zbl 0853.65116
Zhang, Zhimin
1996
Superconvergence of discontinuous Galerkin methods for convection-diffusion problems. Zbl 1203.65121
Zhang, Zuozheng; Xie, Ziqing; Zhang, Zhimin
2009
How many numerical eigenvalues can we trust? Zbl 1329.65265
Zhang, Zhimin
2015
Superconvergence of discontinuous Galerkin method for scalar nonlinear hyperbolic equations. Zbl 1450.65116
Cao, Waixiang; Shu, Chi-Wang; Yang, Yang; Zhang, Zhimin
2018
Function value recovery and its application in eigenvalue problems. Zbl 1246.65214
Naga, Ahmed; Zhang, Zhimin
2012
Superconvergence of spectral collocation and $$p$$-version methods in one dimensional problems. Zbl 1126.65066
Zhang, Zhimin
2005
Superconvergence points of polynomial spectral interpolation. Zbl 1262.65020
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 of immersed finite element methods for interface problems. Zbl 1380.65365
Cao, Waixiang; Zhang, Xu; Zhang, Zhimin
2017
Wu, Haijun; Zhang, Zhimin
2009
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
Is $$2k$$-conjecture valid for finite volume methods? Zbl 1327.65216
Cao, Waixiang; Zhang, Zhimin; Zou, Qingsong
2015
Mathematical analysis of Zienkiewicz-Zhu’s derivative patch recovery technique. Zbl 0858.65115
Zhang, Zhimin; Victory, Harold Dean jun.
1996
Polynomial preserving gradient recovery and a posteriori estimate for bilinear element on irregular quadrilaterals. Zbl 1071.65145
Zhang, Zhimin
2004
Eigenvalue approximation from below by Wilson’s element. Zbl 1142.65435
Zhang, Zhimin; Yang, Yidu; Chen, Zhen
2007
Numerical solution to a linearized time fractional KdV equation on unbounded domains. Zbl 1381.65071
Zhang, Qian; Zhang, Jiwei; Jiang, Shidong; Zhang, Zhimin
2018
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
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
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
A family of finite volume schemes of arbitrary order on rectangular meshes. Zbl 1296.65140
Zhang, Zhimin; Zou, Qingsong
2014
Sharp $$H^1$$-norm error estimates of two time-stepping schemes for reaction-subdiffusion problems. Zbl 1467.65086
Ren, Jincheng; Liao, Hong-lin; Zhang, Jiwei; Zhang, Zhimin
2021
Wilson’s element for the Reissner-Mindlin plate. Zbl 0847.73070
Zhang, Zhimin; Zhang, Shangyou
1994
Locating natural superconvergent points of finite element methods in 3D. Zbl 1071.65140
Zhang, Zhimin; Lin, Runchang
2005
Numerical solutions for jump-diffusions with regime switching. Zbl 1071.60050
Yin, G.; Song, Q. S.; Zhang, Z.
2005
A new approach for numerical simulation of the time-dependent Ginzburg-Landau equations. Zbl 1349.65455
2015
Gradient recovery for the Crouzeix-Raviart element. Zbl 1325.65153
Guo, Hailong; Zhang, Zhimin
2015
Superconvergence of a Chebyshev spectral collocation method. Zbl 1151.65067
Zhang, Zhimin
2008
Superconvergence of immersed finite volume methods for one-dimensional interface problems. Zbl 1384.65045
Cao, Waixiang; Zhang, Xu; Zhang, Zhimin; Zou, Qingsong
2017
Computing the Gerber-Shiu function by frame duality projection. Zbl 1411.91320
Wang, Wenyuan; Zhang, Zhimin
2019
Ultraconvergence of ZZ patch recovery at mesh symmetry points. Zbl 1045.65096
Zhang, Zhimin; Lin, Runchang
2003
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
A $$C^0$$ linear finite element method for biharmonic problems. Zbl 1398.65300
Guo, Hailong; Zhang, Zhimin; Zou, Qingsong
2018
Spectral methods for substantial fractional differential equations. Zbl 1398.65317
Huang, Can; Zhang, Zhimin; Song, Qingshuo
2018
Convergence analysis of the LDG method for singularly perturbed two-point boundary value problems. Zbl 1281.65106
Zhu, Huiqing; Tian, Haiyan; Zhang, Zhimin
2011
Uniform convergence of the LDG method for a singularly perturbed problem with the exponential boundary layer. Zbl 1282.65159
Zhu, Huiqing; Zhang, Zhimin
2014
Mathematical and numerical analysis of the time-dependent Ginzburg-Landau equations in nonconvex polygons based on Hodge decomposition. Zbl 1362.78007
2017
Superconvergence analysis and PPR recovery of arbitrary order edge elements for Maxwell’s equations. Zbl 1417.65208
Wang, Lixiu; Zhang, Qian; Zhang, Zhimin
2019
The partition of unity method for the elastically supported beam. Zbl 0959.74078
Babuška, Ivo; Zhang, Zhimin
1998
Splines and linear control theory. Zbl 0892.41008
Zhang, Zhimin; Tomlinson, John; Martin, Clyde
1997
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
Superconvergent two-grid methods for elliptic eigenvalue problems. Zbl 1365.65245
Guo, Hailong; Zhang, Zhimin; Zhao, Ren
2017
Invalidity of decoupling a biharmonic equation to two Poisson equations on non-convex polygons. Zbl 1136.35024
Zhang, Sheng; Zhang, Zhimin
2008
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 Jacobi-Gauss-type spectral interpolation. Zbl 1308.65022
Wang, Li-Lian; Zhao, Xiaodan; Zhang, Zhimin
2014
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
Analysis of adaptive BDF2 scheme for diffusion equations. Zbl 1466.65067
Liao, Hong-Lin; Zhang, Zhimin
2021
Superconvergence points of fractional spectral interpolation. Zbl 1416.65483
Zhao, Xuan; Zhang, Zhimin
2016
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
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
Superconvergence of partially penalized immersed finite element methods. Zbl 1462.65187
Guo, Hailong; Yang, Xu; Zhang, Zhimin
2018
A spectrally accurate approximation to subdiffusion equations using the log orthogonal functions. Zbl 1434.65291
Chen, Sheng; Shen, Jie; Zhang, Zhimin; Zhou, Zhi
2020
Locking and robustness in the finite element method for circular arch problem. Zbl 0822.65089
Zhang, Zhimin
1995
Comparison of a spectral collocation method and symplectic methods for Hamiltonian systems. Zbl 1211.65162
Kanyamee, Nairat; Zhang, Zhimin
2011
Polynomial preserving recovery for meshes from Delaunay triangulation or with high aspect ratio. Zbl 1148.65092
Zhang, Zhimin
2008
Maximum-norms error estimates for high-order finite volume schemes over quadrilateral meshes. Zbl 1421.65027
He, Wenming; Zhang, Zhimin; Zou, Qingsong
2018
Ultraconvergence of high order FEMs for elliptic problems with variable coefficients. Zbl 1365.65254
He, Wen-Ming; Zhang, Zhimin; Zou, Qingsong
2017
Acceleration of weak Galerkin methods for the Laplacian eigenvalue problem. Zbl 1419.65128
Zhai, Qilong; Xie, Hehu; Zhang, Ran; Zhang, Zhimin
2019
Superconvergent derivative recovery for the intermediate finite element family of the second type. Zbl 0989.65125
Zhang, Zhimin; Yan, Ningning; Sun, Tong
2001
Convergence and Gibbs’ phenomenon in the cubic spline interpolation of discontinuous functions. Zbl 0898.41007
Zhang, Zhimin; Martin, Clyde F.
1997
Polynomial preserving recovery for anisotropic and irregular grids. Zbl 1055.65133
Zhang, Zhimin
2004
Natural superconvergent points of triangular finite elements. Zbl 1068.65123
Lin, Runchang; Zhang, Zhimin
2004
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
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
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
$$2k$$ superconvergence of $$Q_k$$ finite elements by anisotropic mesh approximation in weighted Sobolev spaces. Zbl 1361.65085
He, Wenming; Zhang, Zhimin
2017
Unified analysis of time domain mixed finite element methods for Maxwell’s equations in dispersive media. Zbl 1240.78024
Li, Jichun; Zhang, Zhimin
2010
Nodal superconvergence of SDFEM for singularly perturbed problems. Zbl 1244.65109
Celiker, Fatih; Zhang, Zhimin; Zhu, Huiqing
2012
Aerodynamics of a wing in turbulent bluff body wakes. Zbl 07483962
Zhang, Z.; Wang, Z.; Gursul, I.
2022
FE-holomorphic operator function method for nonlinear plate vibrations with elastically added masses. Zbl 1490.74110
Pang, Xiangying; Sun, Jiguang; Zhang, Zhimin
2022
Mesh-robustness of an energy stable BDF2 scheme with variable steps for the Cahn-Hilliard model. Zbl 07568372
Liao, Hong-lin; Ji, Bingquan; Wang, Lin; Zhang, Zhimin
2022
Sharp $$H^1$$-norm error estimates of two time-stepping schemes for reaction-subdiffusion problems. Zbl 1467.65086
Ren, Jincheng; Liao, Hong-lin; Zhang, Jiwei; Zhang, Zhimin
2021
Analysis of adaptive BDF2 scheme for diffusion equations. Zbl 1466.65067
Liao, Hong-Lin; Zhang, Zhimin
2021
Approximation methods for the distributed order calculus using the convolution quadrature. Zbl 1472.65034
Yin, Baoli; Liu, Yang; Li, Hong; Zhang, Zhimin
2021
The unified theory of shifted convolution quadrature for fractional calculus. Zbl 07395830
Liu, Yang; Yin, Baoli; Li, Hong; Zhang, Zhimin
2021
TubeNet: a special TrumpetNet for explicit solutions to inverse problems. Zbl 07342029
Liu, G. R.; Duan, S. Y.; Zhang, Z. M.; Han, X.
2021
A CG-DG method for Maxwell’s equations in Cole-Cole dispersive media. Zbl 1468.65153
Wang, Jiangxing; Zhang, Jiwei; Zhang, Zhimin
2021
A novel scheme to capture the initial dramatic evolutions of nonlinear subdiffusion equations. Zbl 1481.65151
Qin, Hongyu; Li, Dongfang; Zhang, Zhimin
2021
Pricing EIA with cliquet-style guarantees under time-changed Lévy models by frame duality projection. Zbl 1458.91188
Shi, Benxuan; Zhang, Zhimin
2021
$$H(\mathrm{curl}^2)$$-conforming spectral element method for quad-curl problems. Zbl 1473.65319
Wang, Lixiu; Li, Huiyuan; Zhang, Zhimin
2021
High-order fully discrete energy diminishing evolving surface finite element methods for a class of geometric curvature flows. Zbl 07539517
Duan, Beiping; Li, Buyang; Zhang, Zhimin
2021
Finite element calculation of photonic band structures for frequency dependent materials. Zbl 1466.65207
Xiao, Wenqiang; Gong, Bo; Sun, Jiguang; Zhang, Zhimin
2021
A recovery-based linear $$C^0$$ finite element method for a fourth-order singularly perturbed Monge-Ampère equation. Zbl 1465.65132
Chen, Hongtao; Feng, Xiaobing; Zhang, Zhimin
2021
A rational approximation scheme for computing Mittag-Leffler function with discrete elliptic operator as input. Zbl 1469.65037
Duan, Beiping; Zhang, Zhimin
2021
Sharp error estimates of a spectral Galerkin method for a diffusion-reaction equation with integral fractional Laplacian on a disk. Zbl 1480.65355
Hao, Zhaopeng; Li, Huiyuan; Zhang, Zhimin; Zhang, Zhongqiang
2021
Superconvergence analysis of the ultra-weak local discontinuous Galerkin method for one dimensional linear fifth order equations. Zbl 07389360
Tao, Qi; Cao, Waixiang; Zhang, Zhimin
2021
$$H(\mathrm{curl}^2)$$-conforming quadrilateral spectral element method for quad-curl problems. Zbl 1478.65137
Wang, Lixiu; Shan, Weikun; Li, Huiyuan; Zhang, Zhimin
2021
Finite-time dividend problems in a Lévy risk model under periodic observation. Zbl 07422832
Xie, Jiayi; 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
A spectrally accurate approximation to subdiffusion equations using the log orthogonal functions. Zbl 1434.65291
Chen, Sheng; Shen, Jie; Zhang, Zhimin; Zhou, Zhi
2020
Simple curl-curl-conforming finite elements in two dimensions. Zbl 1458.65148
Hu, Kaibo; Zhang, Qian; Zhang, Zhimin
2020
A new finite element approach for the Dirichlet eigenvalue problem. Zbl 1464.65189
Xiao, Wenqiang; Gong, Bo; Sun, Jiguang; Zhang, Zhimin
2020
A new $$P_1$$ weak Galerkin method for the biharmonic equation. Zbl 1427.65342
Ye, Xiu; Zhang, Shangyou; Zhang, Zhimin
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 modified immersed finite volume element method for elliptic interface problems. Zbl 1451.65174
Wang, Q.; Zhang, Z.
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
Ball prolate spheroidal wave functions in arbitrary dimensions. Zbl 1445.42018
Zhang, Jing; Li, Huiyuan; Wang, Li-Lian; Zhang, Zhimin
2020
A locking-free weak Galerkin finite element method for Reissner-Mindlin plate on polygonal meshes. Zbl 1447.65167
Ye, Xiu; Zhang, Shangyou; Zhang, Zhimin
2020
Bandgap design of three-phase phononic crystal by topological optimization. Zbl 07312408
Han, X. K.; Zhang, Z.
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
Local ultraconvergence of linear and bilinear finite element method for second order elliptic problems. Zbl 1434.65258
He, Wen-ming; Lin, Runchang; Zhang, Zhimin
2020
A class of efficient spectral methods and error analysis for nonlinear Hamiltonian systems. Zbl 1460.65128
An, Jing; Cao, Waixiang; Zhang, Zhimin
2020
A shifted-inverse adaptive multigrid method for the elastic eigenvalue problem. Zbl 1473.65280
Gong, Bo; Han, Jiayu; Sun, Jiguang; Zhang, Zhimin
2020
Spectral-Galerkin approximation and optimal error estimate for biharmonic eigenvalue problems in circular/spherical/elliptical domains. Zbl 1465.65155
An, Jing; Li, Huiyuan; Zhang, Zhimin
2020
Numerical analysis on the mortar spectral element methods for Schrödinger eigenvalue problem with an inverse square potential. Zbl 1452.65316
Jia, Lueling; Li, Huiyuan; Zhang, Zhimin
2020
Statistical estimation for some dividend problems under the compound Poisson risk model. Zbl 1452.91284
Xie, Jiayi; Zhang, Zhimin
2020
Local superconvergence of post-processed high-order finite volume element solutions. Zbl 1454.65145
He, Wenming; Zhang, Zhimin; Zou, Qingsong
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
Computing the Gerber-Shiu function by frame duality projection. Zbl 1411.91320
Wang, Wenyuan; 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
Acceleration of weak Galerkin methods for the Laplacian eigenvalue problem. Zbl 1419.65128
Zhai, Qilong; Xie, Hehu; Zhang, Ran; 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
A curl-conforming weak Galerkin method for the quad-curl problem. Zbl 1427.65378
Sun, Jiguang; Zhang, Qian; Zhang, Zhimin
2019
$$C^1$$-conforming quadrilateral spectral element method for fourth-order equations. Zbl 1449.65334
Li, Huiyuan; Shan, Weikun; 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
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
The weak Galerkin method for elliptic eigenvalue problems. Zbl 1473.65284
Zhai, Qilong; Xie, Hehu; Zhang, Ran; Zhang, Zhimin
2019
Superconvergence points for the spectral interpolation of Riesz fractional derivatives. Zbl 1434.65292
Deng, Beichuan; Zhang, Zhimin; Zhao, Xuan
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
Optimal error estimates of a linearized Crank-Nicolson Galerkin FEM for the Kuramoto-Tsuzuki equations. Zbl 1473.65310
Li, Dongfang; Cao, Waixiang; Zhang, Chengjian; Zhang, Zhimin
2019
An efficient spectral Petrov-Galerkin method for nonlinear Hamiltonian systems. Zbl 1473.65228
An, Jing; Cao, Waixiang; 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
Poisson discretizations of Wiener functionals and Malliavin operators with Wasserstein estimates. Zbl 1479.60108
Privault, N.; Yam, S. C. P.; Zhang, Z.
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
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 $$C^0$$ linear finite element method for biharmonic problems. Zbl 1398.65300
Guo, Hailong; Zhang, Zhimin; Zou, Qingsong
2018
Spectral methods for substantial fractional differential equations. Zbl 1398.65317
Huang, Can; Zhang, Zhimin; Song, Qingshuo
2018
Superconvergence of partially penalized immersed finite element methods. Zbl 1462.65187
Guo, Hailong; Yang, 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
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
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
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
Efficient spectral methods for some singular eigenvalue problems. Zbl 1407.65311
Ma, Suna; Li, Huiyuan; Zhang, Zhimin
2018
The numerical computation of the time fractional Schrödinger equation on an unbounded domain. Zbl 1382.65250
Li, Dan; Zhang, Jiwei; Zhang, Zhimin
2018
Fast evaluation of the Caputo fractional derivative and its applications to fractional diffusion equations. Zbl 1488.65247
Jiang, Shidong; Zhang, Jiwei; Zhang, Qian; Zhang, Zhimin
2017
Superconvergence of the direct discontinuous Galerkin method for convection-diffusion equations. Zbl 1361.65061
Cao, Waixiang; Liu, Hailiang; Zhang, Zhimin
2017
Optimal superconvergence of energy conserving local discontinuous Galerkin methods for wave equations. Zbl 1388.65097
Cao, Waixiang; Li, Dongfang; Zhang, Zhimin
2017
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 discontinuous Galerkin methods for 1-D linear hyperbolic equations with degenerate variable coefficients. Zbl 1382.65274
Cao, Waixiang; Shu, Chi-Wang; Zhang, Zhimin
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
Superconvergence of immersed finite volume methods for one-dimensional interface problems. Zbl 1384.65045
Cao, Waixiang; Zhang, Xu; Zhang, Zhimin; Zou, Qingsong
2017
Mathematical and numerical analysis of the time-dependent Ginzburg-Landau equations in nonconvex polygons based on Hodge decomposition. Zbl 1362.78007
2017
Superconvergent two-grid methods for elliptic eigenvalue problems. Zbl 1365.65245
Guo, Hailong; Zhang, Zhimin; Zhao, Ren
2017
A hybridizable weak Galerkin method for the Helmholtz equation with large wave number: $$hp$$ analysis. Zbl 1429.65278
Wang, Jiangxing; 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 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
Superconvergence of local discontinuous Galerkin method for one-dimensional linear Schrödinger equations. Zbl 1383.65106
Zhou, Lingling; Xu, Yan; Zhang, Zhimin; Cao, Waixiang
2017
Hessian recovery for finite element methods. Zbl 1361.65087
Guo, Hailong; Zhang, Zhimin; Zhao, Ren
2017
A numerical analysis of the weak Galerkin method for the Helmholtz equation with high wave number. Zbl 1488.65610
Du, Yu; Zhang, Zhimin
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
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
Oscillation theorems for impulsive parabolic differential system of neutral type. Zbl 1364.35430
Zhang, Zhimin; Liu, An-Ping; Zou, Min
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
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
...and 105 more Documents
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### Cited by 1,458 Authors

 103 Zhang, Zhimin 43 Huang, Yunqing 26 Baccouch, Mahboub 26 Zou, Qingsong 25 Yang, Yidu 22 Li, Jichun 19 Cao, Waixiang 19 Guo, Hailong 17 He, Wenming 17 Li, Huiyuan 15 Hu, Jun 15 Li, Dongfang 13 Bi, Hai 13 Shu, Chi-Wang 13 Yang, Wei 13 Zhu, Qiding 12 Chen, Yanping 12 Xie, Hehu 12 Xie, Xiaoping 12 Yi, Nianyu 11 Li, Yonghai 11 Wang, Lilian 11 Zhang, Shangyou 10 Liu, Jinghong 10 Martin, Clyde Franklin 10 Nie, Yufeng 10 Wu, Boying 9 Huang, Can 9 Li, Buyang 9 Lin, Qun 9 Liu, Xiaowei 9 Stynes, Martin 9 Wu, Jiming 9 Yi, Lijun 9 Zhang, Jin 9 Zhang, Jiwei 8 Dehghan Takht Fooladi, Mehdi 8 Han, Jiayu 8 Huang, Weizhang 8 Li, Hong 8 Liu, Huipo 8 Liu, Yang 8 Shi, Dongyang 8 Sun, Haiwei 8 Yao, Changhui 8 Zhang, Qiang 8 Zhou, Aihui 7 Cai, Zhiqiang 7 Celiker, Fatih 7 Cheng, Xiujun 7 Cheng, Yao 7 Franz, Sebastian 7 Gunzburger, Max D. 7 Huang, Chaobao 7 Li, Hao 7 Lin, Runchang 7 Meng, Xiong 7 Qin, Hongyu 7 Roos, Hans-Görg 7 Shi, Zhongci 7 Xie, Ziqing 7 Xu, Chuanju 7 Xu, Jinchao 7 Ye, Xiu 7 Yin, Baoli 7 Zhao, Ren 7 Zhou, Yanhui 6 Chen, Long 6 Gao, Huadong 6 Jin, Zhuo 6 Kim, Kwang Yeon 6 Li, Hengguang 6 Li, Yuwen 6 Liao, HongLin 6 Lin, Yanping 6 Liu, Hailiang 6 Mu, Lin 6 Qiu, Jianxian 6 Song, Lunji 6 Sun, Weiwei 6 Wang, Jiangxing 6 Wang, Zhongqing 6 Wu, Chao 6 Yan, Ningning 6 Yang, Min 6 Yang, Xu 6 Yin, Gang George 6 Yin, George Gang 6 Zeng, Fanhai 6 Zhang, Mengping 6 Zhang, Qian 6 Zhao, Shan 6 Zhu, Huiqing 5 An, Na 5 Carstensen, Carsten 5 Chen, Xiaoli 5 Cheng, Yingda 5 Fang, Zhiwei 5 Feng, Xinlong 5 Fortin, André ...and 1,358 more Authors
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### Cited in 155 Serials

 153 Journal of Scientific Computing 85 Journal of Computational and Applied Mathematics 66 Applied Numerical Mathematics 61 Computer Methods in Applied Mechanics and Engineering 57 Computers & Mathematics with Applications 55 Applied Mathematics and Computation 48 Journal of Computational Physics 48 Mathematics of Computation 38 SIAM Journal on Numerical Analysis 34 Numerische Mathematik 30 Numerical Methods for Partial Differential Equations 27 Numerical Algorithms 27 SIAM Journal on Scientific Computing 23 Communications in Computational Physics 23 Advances in Applied Mathematics and Mechanics 22 Advances in Computational Mathematics 21 Applied Mathematics Letters 21 International Journal of Numerical Analysis and Modeling 18 Science China. Mathematics 17 International Journal of Computer Mathematics 17 Discrete and Continuous Dynamical Systems. Series B 13 Mathematics and Computers in Simulation 12 Computational and Applied Mathematics 12 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 11 Communications on Applied Mathematics and Computation 10 Calcolo 9 Journal of Mathematical Analysis and Applications 9 Computational Methods in Applied Mathematics 8 BIT 8 International Journal for Numerical Methods in Engineering 8 Engineering Analysis with Boundary Elements 8 Advances in Difference Equations 8 East Asian Journal on Applied Mathematics 7 Applications of Mathematics 7 Mathematical Problems in Engineering 6 Mathematical Methods in the Applied Sciences 6 Automatica 6 Science in China. Series A 6 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 6 Abstract and Applied Analysis 5 Communications in Nonlinear Science and Numerical Simulation 5 Journal of Applied Mathematics and Computing 5 International Journal of Computational Methods 5 AIMS Mathematics 4 Computers and Fluids 4 Numerical Mathematics: Theory, Methods and Applications 3 Journal of Mathematical Biology 3 Chaos, Solitons and Fractals 3 Numerical Functional Analysis and Optimization 3 Journal of Computational Mathematics 3 Computational Mechanics 3 Computational Mathematics and Mathematical Physics 3 Applied Mathematical Modelling 3 Journal of Difference Equations and Applications 3 Journal of Inequalities and Applications 3 Engineering Computations 3 Journal of Systems Science and Complexity 3 Boundary Value Problems 3 Nonlinear Analysis. Hybrid Systems 3 Korean Journal of Mathematics 3 Electronic Research Archive 2 International Journal of Control 2 Applied Mathematics and Mechanics. (English Edition) 2 Mathematical and Computer Modelling 2 SIAM Journal on Applied Mathematics 2 Stochastic Processes and their Applications 2 Potential Analysis 2 Lobachevskii Journal of Mathematics 2 Foundations of Computational Mathematics 2 Journal of Numerical Mathematics 2 Central European Journal of Mathematics 2 Multiscale Modeling & Simulation 2 Mathematical Biosciences and Engineering 2 Journal of Industrial and Management Optimization 2 Dynamic Games and Applications 2 Mathematical Control and Related Fields 2 SIAM/ASA Journal on Uncertainty Quantification 2 Journal of Function Spaces 2 Results in Applied Mathematics 1 Acta Mechanica 1 Biological Cybernetics 1 International Journal for Numerical Methods in Fluids 1 Inverse Problems 1 Journal of Fluid Mechanics 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 Physica A 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 ...and 55 more Serials
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### Cited in 40 Fields

 1,116 Numerical analysis (65-XX) 571 Partial differential equations (35-XX) 112 Fluid mechanics (76-XX) 104 Mechanics of deformable solids (74-XX) 101 Probability theory and stochastic processes (60-XX) 85 Optics, electromagnetic theory (78-XX) 71 Ordinary differential equations (34-XX) 63 Real functions (26-XX) 31 Approximations and expansions (41-XX) 30 Integral equations (45-XX) 28 Calculus of variations and optimal control; optimization (49-XX) 28 Systems theory; control (93-XX) 23 Statistical mechanics, structure of matter (82-XX) 22 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 21 Biology and other natural sciences (92-XX) 15 Special functions (33-XX) 9 Potential theory (31-XX) 8 Quantum theory (81-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Computer science (68-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Statistics (62-XX) 5 Operations research, mathematical programming (90-XX) 4 Operator theory (47-XX) 3 Difference and functional equations (39-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Integral transforms, operational calculus (44-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Astronomy and astrophysics (85-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Functional analysis (46-XX) 2 Differential geometry (53-XX) 2 Mechanics of particles and systems (70-XX) 2 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Information and communication theory, circuits (94-XX)