Edit Profile (opens in new tab) Zhang, Zhimin Co-Author Distance Author ID: zhang.zhimin Published as: Zhang, Zhimin; Zhang, Z. External Links: MGP · Google Scholar · ResearchGate · dblp Documents Indexed: 271 Publications since 1992, including 18 Additional arXiv Preprints 7 Contributions as Editor Co-Authors: 169 Co-Authors with 254 Joint Publications 5,921 Co-Co-Authors all top 5 Co-Authors 20 single-authored 25 Cao, Waixiang 19 Zou, Qingsong 14 Li, Huiyuan 14 Zhang, Qian 13 Lin, Runchang 12 Guo, Hailong 11 Zhang, Jiwei 10 Huang, Can 10 Xie, Ziqing 9 Li, Dongfang 9 Zhang, Shangyou 8 Wang, Lixiu 7 Du, Yu 7 He, Wenming 7 Li, Hong 7 Liu, Yang 7 Naga, Ahmed 7 Yin, Baoli 7 Zhu, Huiqing 6 An, Jing 6 Jia, Lueling 6 Song, Qingshuo 6 Sun, Jiguang 6 Wu, Haijun 5 Du, Shaohong 5 Han, Jiayu 5 Wang, Lilian 4 Li, Buyang 4 Liao, HongLin 4 Shu, Chi-Wang 4 Xie, Hehu 4 Yang, Yidu 4 Yin, Gang George 4 Zhang, Baiju 4 Zhao, Jin 4 Zhao, Ren 4 Zhu, Jianzhong 3 Celiker, Fatih 3 Chen, Hongtao 3 Gong, Bo 3 Hu, Kaibo 3 Martin, Clyde Franklin 3 Ren, Jincheng 3 Wang, Bo 3 Yang, Yang 3 Zhang, Jing 3 Zhang, Ran 3 Zhang, Xu 2 Babuška, Ivo 2 Chen, Minghua 2 Chen, Sheng 2 Deng, Beichuan 2 Duan, Beiping 2 Fan, Li 2 Guo, Benqi 2 Jia, Chen 2 Jiang, Shidong 2 Li, Hengguang 2 Li, Jichun 2 Li, Xiaoxi 2 Lin, Fubiao 2 Liu, Anping 2 Liu, Ziqi 2 Ma, Suna 2 Shan, Weikun 2 Shen, Jie 2 Shi, Zhongci 2 Song, Lunji 2 Tomlinson, John 2 Wang, Jiangxing 2 Wang, Jilu 2 Wang, Lin 2 Xiao, Wenqiang 2 Xu, Yan 2 Yan, Ningning 2 Ye, Xiu 2 Yong, Wen-An 2 Yu, Fan 2 Zhai, Qilong 2 Zhang, Mingyan 2 Zhang, Qifeng 2 Zhang, Sheng 2 Zhang, Zuozheng 2 Zhao, Chengchao 2 Zhao, Lewei 1 Akrivis, Georgios D. 1 Allen, Edward James 1 Cai, Ying 1 Cao, Yanzhao 1 Chen, Chuanmiao 1 Chen, Hu 1 Chen, Huajie 1 Chen, Zhen 1 Chu, Tianyang 1 Demkowicz, Leszek F. 1 DeWitt, D. P. 1 Duan, Shuyong 1 Enqvist, Per 1 Falk, Rick 1 Feng, Xiaobing ...and 74 more Co-Authors all top 5 Serials 44 Journal of Scientific Computing 18 Mathematics of Computation 17 SIAM Journal on Numerical Analysis 14 Communications in Computational Physics 13 International Journal of Numerical Analysis and Modeling 12 Journal of Computational Mathematics 12 Numerical Methods for Partial Differential Equations 12 Discrete and Continuous Dynamical Systems. Series B 11 Journal of Computational and Applied Mathematics 11 SIAM Journal on Scientific Computing 7 Journal of Computational Physics 7 Numerische Mathematik 7 Advances in Computational Mathematics 6 Computer Methods in Applied Mechanics and Engineering 6 IMA Journal of Numerical Analysis 4 Computers & Mathematics with Applications 4 BIT 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Applied Numerical Mathematics 3 Applied Mathematics Letters 3 Computational Methods in Applied Mathematics 3 Communications in Mathematical Sciences 3 Science China. Mathematics 2 Calcolo 2 Scientia Sinica. Mathematica 2 Communications on Applied Mathematics and Computation 1 Acta Mechanica 1 International Journal of Heat and Mass Transfer 1 International Journal of Mechanical Sciences 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Automatica 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 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Numerical Algorithms 1 Stochastics and Stochastics Reports 1 Applied and Computational Harmonic Analysis 1 Fractional Calculus & Applied Analysis 1 The Korean Journal of Computational & Applied Mathematics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Journal of Numerical Mathematics 1 International Journal of Computational Methods 1 Stochastics 1 Lecture Notes in Computational Science and Engineering 1 Communications in Theoretical Physics 1 East Asian Journal on Applied Mathematics 1 Annals of Applied Mathematics all top 5 Fields 251 Numerical analysis (65-XX) 141 Partial differential equations (35-XX) 28 Ordinary differential equations (34-XX) 28 Mechanics of deformable solids (74-XX) 18 Approximations and expansions (41-XX) 17 Optics, electromagnetic theory (78-XX) 14 Real functions (26-XX) 12 Fluid mechanics (76-XX) 8 Special functions (33-XX) 7 General and overarching topics; collections (00-XX) 5 Integral equations (45-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Probability theory and stochastic processes (60-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Potential theory (31-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 223 Publications have been cited 3,152 times in 1,788 Documents Cited by ▼ Year ▼ 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 200 2017 A new finite element gradient recovery method: Superconvergence property. Zbl 1078.65110 Zhang, Zhimin; Naga, Ahmed 148 2005 Finite element and difference approximation of some linear stochastic partial differential equations. Zbl 0907.65147 Allen, E. J.; Novosel, S. J.; Zhang, Z. 88 1998 Analysis of recovery type a posteriori error estimators for mildly structured grids. Zbl 1050.65103 Xu, Jinchao; Zhang, Zhimin 85 2004 A posteriori error estimates based on the polynomial preserving recovery. Zbl 1078.65098 Naga, Ahmed; Zhang, Zhimin 75 2004 Finite element superconvergence on Shishkin mesh for 2-D convection-diffusion problems. Zbl 1019.65091 Zhang, Zhimin 69 2003 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 67 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 61 2018 Vertex-centered finite volume schemes of any order over quadrilateral meshes for elliptic boundary value problems. Zbl 1338.65233 Zhang, Zhimin; Zou, Qingsong 58 2015 Eigenvalue approximation from below using non-conforming finite elements. Zbl 1187.65125 Yang, Yidu; Zhang, Zhimin; Lin, Fubiao 47 2010 Superconvergence of discontinuous Galerkin methods for linear hyperbolic equations. Zbl 1331.65128 Cao, Waixiang; Zhang, Zhimin; Zou, Qingsong 46 2014 Analysis of adaptive BDF2 scheme for diffusion equations. Zbl 1466.65067 Liao, Hong-Lin; Zhang, Zhimin 44 2021 Analysis of some quadrilateral nonconforming elements for incompressible elasticity. Zbl 0870.73074 Zhang, Zhimin 42 1997 The polynomial-preserving recovery for higher order finite element methods in 2D and 3D. Zbl 1078.65108 Naga, A.; Zhang, Z. 38 2005 Superconvergence of discontinuous Galerkin methods for two-dimensional hyperbolic equations. Zbl 1328.65195 Cao, Waixiang; Shu, Chi-Wang; Yang, Yang; Zhang, Zhimin 37 2015 Finite element superconvergence approximation for one-dimensional singularly perturbed problems. Zbl 1002.65088 Zhang, Zhimin 36 2002 Uniform superconvergence analysis of the discontinuous Galerkin method for a singularly perturbed problem in 1-D. Zbl 1208.65118 Xie, Ziqing; Zhang, Zhimin 36 2010 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 35 2021 Can we have superconvergent gradient recovery under adaptive meshes? Zbl 1152.65104 Wu, Haijun; Zhang, Zhimin 34 2007 A numerical study of uniform superconvergence of LDG method for solving singularly perturbed problems. Zbl 1212.65422 Xie, Ziqing; Zhang, Zuozheng; Zhang, Zhimin 32 2009 Optimal superconvergence of energy conserving local discontinuous Galerkin methods for wave equations. Zbl 1388.65097 Cao, Waixiang; Li, Dongfang; Zhang, Zhimin 32 2017 Ultraconvergence of the patch recovery technique II. Zbl 0936.65132 Zhang, Zhimin 30 2000 Error analysis of a discontinuous Galerkin method for Maxwell equations in dispersive media. Zbl 1203.78052 Wang, Bo; Xie, Ziqing; Zhang, Zhimin 29 2010 Natural superconvergence points in three-dimensional finite elements. Zbl 1168.65059 Lin, Runchang; Zhang, Zhimin 28 2008 Superconvergence of the direct discontinuous Galerkin method for convection-diffusion equations. Zbl 1361.65061 Cao, Waixiang; Liu, Hailiang; Zhang, Zhimin 28 2017 Superconvergence points of polynomial spectral interpolation. Zbl 1262.65020 Zhang, Zhimin 28 2012 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 26 1995 Superconvergence of local discontinuous Galerkin methods for one-dimensional linear parabolic equations. Zbl 1327.65191 Cao, Waixiang; Zhang, Zhimin 26 2016 Superconvergence of immersed finite element methods for interface problems. Zbl 1380.65365 Cao, Waixiang; Zhang, Xu; Zhang, Zhimin 26 2017 Superconvergence of discontinuous Galerkin method for scalar nonlinear hyperbolic equations. Zbl 1450.65116 Cao, Waixiang; Shu, Chi-Wang; Yang, Yang; Zhang, Zhimin 25 2018 Numerical methods for controlled regime-switching diffusions and regime-switching jump diffusions. Zbl 1117.93370 Song, Q. S.; Yin, G.; Zhang, Z. 25 2006 Enhancing eigenvalue approximation by gradient recovery. Zbl 1148.65087 Naga, Ahmed; Zhang, Zhimin; Zhou, Aihui 24 2006 Superconvergence of spectral collocation and \(p\)-version methods in one dimensional problems. Zbl 1126.65066 Zhang, Zhimin 24 2005 Analysis of a class of superconvergence patch recovery techniques for linear and bilinear finite elements. Zbl 0920.65067 Li, Bo; Zhang, Zhimin 24 1999 Superconvergence of DG method for one-dimensional singularly perturbed problems. Zbl 1142.65388 Xie, Ziqing; Zhang, Zhimin 24 2007 How many numerical eigenvalues can we trust? Zbl 1329.65265 Zhang, Zhimin 24 2015 Superconvergence of any order finite volume schemes for 1D general elliptic equations. Zbl 1276.65044 Cao, Waixiang; Zhang, Zhimin; Zou, Qingsong 24 2013 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. 23 1998 Numerical solution to a linearized time fractional KdV equation on unbounded domains. Zbl 1381.65071 Zhang, Qian; Zhang, Jiwei; Jiang, Shidong; Zhang, Zhimin 23 2018 Is \(2k\)-conjecture valid for finite volume methods? Zbl 1327.65216 Cao, Waixiang; Zhang, Zhimin; Zou, Qingsong 22 2015 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 21 2017 Superconvergence of discontinuous Galerkin methods for convection-diffusion problems. Zbl 1203.65121 Zhang, Zuozheng; Xie, Ziqing; Zhang, Zhimin 20 2009 Function value recovery and its application in eigenvalue problems. Zbl 1246.65214 Naga, Ahmed; Zhang, Zhimin 20 2012 Ultraconvergence of the patch recovery technique. Zbl 0853.65116 Zhang, Zhimin 20 1996 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 20 2016 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 20 2020 A spectrally accurate approximation to subdiffusion equations using the log orthogonal functions. Zbl 1434.65291 Chen, Sheng; Shen, Jie; Zhang, Zhimin; Zhou, Zhi 20 2020 Superconvergence of a Chebyshev spectral collocation method. Zbl 1151.65067 Zhang, Zhimin 19 2008 A \(C^0\) linear finite element method for biharmonic problems. Zbl 1398.65300 Guo, Hailong; Zhang, Zhimin; Zou, Qingsong 19 2018 A new approach for numerical simulation of the time-dependent Ginzburg-Landau equations. Zbl 1349.65455 Li, Buyang; Zhang, Zhimin 19 2015 A \(C^0\) linear finite element method for two fourth-order eigenvalue problems. Zbl 1433.65267 Chen, Hongtao; Guo, Hailong; Zhang, Zhimin; Zou, Qingsong 19 2017 \(H(\mathrm{curl}^2)\)-conforming finite elements in 2 dimensions and applications to the quad-curl problem. Zbl 1422.65420 Zhang, Qian; Wang, Lixiu; Zhang, Zhimin 19 2019 A family of finite volume schemes of arbitrary order on rectangular meshes. Zbl 1296.65140 Zhang, Zhimin; Zou, Qingsong 18 2014 Simple curl-curl-conforming finite elements in two dimensions. Zbl 1458.65148 Hu, Kaibo; Zhang, Qian; Zhang, Zhimin 18 2020 Uniform convergence of the LDG method for a singularly perturbed problem with the exponential boundary layer. Zbl 1282.65159 Zhu, Huiqing; Zhang, Zhimin 18 2014 Superconvergence of Jacobi-Gauss-type spectral interpolation. Zbl 1308.65022 Wang, Li-Lian; Zhao, Xiaodan; Zhang, Zhimin 17 2014 Enhancing eigenvalue approximation by gradient recovery on adaptive meshes. Zbl 1184.65101 Wu, Haijun; Zhang, Zhimin 16 2009 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 16 2017 Mathematical analysis of Zienkiewicz-Zhu’s derivative patch recovery technique. Zbl 0858.65115 Zhang, Zhimin; Victory, Harold Dean jun. 15 1996 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 15 2017 Polynomial preserving gradient recovery and a posteriori estimate for bilinear element on irregular quadrilaterals. Zbl 1071.65145 Zhang, Zhimin 15 2004 Locating natural superconvergent points of finite element methods in 3D. Zbl 1071.65140 Zhang, Zhimin; Lin, Runchang 15 2005 Eigenvalue approximation from below by Wilson’s element. Zbl 1142.65435 Zhang, Zhimin; Yang, Yidu; Chen, Zhen 15 2007 Superconvergence of immersed finite volume methods for one-dimensional interface problems. Zbl 1384.65045 Cao, Waixiang; Zhang, Xu; Zhang, Zhimin; Zou, Qingsong 15 2017 The unified theory of shifted convolution quadrature for fractional calculus. Zbl 1523.65073 Liu, Yang; Yin, Baoli; Li, Hong; Zhang, Zhimin 15 2021 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 14 2011 Numerical solutions for jump-diffusions with regime switching. Zbl 1071.60050 Yin, G.; Song, Q. S.; Zhang, Z. 14 2005 Efficient spectral and spectral element methods for eigenvalue problems of Schrödinger equations with an inverse square potential. Zbl 1355.65150 Li, Huiyuan; Zhang, Zhimin 14 2017 A family of finite element Stokes complexes in three dimensions. Zbl 1522.65212 Hu, Kaibo; Zhang, Qian; Zhang, Zhimin 14 2022 Mesh-robustness of an energy stable BDF2 scheme with variable steps for the Cahn-Hilliard model. Zbl 1492.35397 Liao, Hong-lin; Ji, Bingquan; Wang, Lin; Zhang, Zhimin 14 2022 Gradient recovery for the Crouzeix-Raviart element. Zbl 1325.65153 Guo, Hailong; Zhang, Zhimin 13 2015 Numerical solutions for stochastic differential games with regime switching. Zbl 1367.91028 Song, Qingshuo; Yin, G. George; Zhang, Zhimin 13 2008 The weak Galerkin method for elliptic eigenvalue problems. Zbl 1473.65284 Zhai, Qilong; Xie, Hehu; Zhang, Ran; Zhang, Zhimin 13 2019 Superconvergence analysis and PPR recovery of arbitrary order edge elements for Maxwell’s equations. Zbl 1417.65208 Wang, Lixiu; Zhang, Qian; Zhang, Zhimin 13 2019 Convergence analysis of the LDG method for singularly perturbed two-point boundary value problems. Zbl 1281.65106 Zhu, Huiqing; Tian, Haiyan; Zhang, Zhimin 13 2011 Invalidity of decoupling a biharmonic equation to two Poisson equations on non-convex polygons. Zbl 1136.35024 Zhang, Sheng; Zhang, Zhimin 12 2008 Ultraconvergence of ZZ patch recovery at mesh symmetry points. Zbl 1045.65096 Zhang, Zhimin; Lin, Runchang 12 2003 Wilson’s element for the Reissner-Mindlin plate. Zbl 0847.73070 Zhang, Zhimin; Zhang, Shangyou 12 1994 Spectral methods for substantial fractional differential equations. Zbl 1398.65317 Huang, Can; Zhang, Zhimin; Song, Qingshuo 12 2018 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 12 2014 Superconvergence points of fractional spectral interpolation. Zbl 1416.65483 Zhao, Xuan; Zhang, Zhimin 12 2016 Polynomial preserving recovery on boundary. Zbl 1338.65260 Guo, Hailong; Zhang, Zhimin; Zhao, Ren; Zou, Qingsong 12 2016 A curl-conforming weak Galerkin method for the quad-curl problem. Zbl 1427.65378 Sun, Jiguang; Zhang, Qian; Zhang, Zhimin 12 2019 Acceleration of weak Galerkin methods for the Laplacian eigenvalue problem. Zbl 1419.65128 Zhai, Qilong; Xie, Hehu; Zhang, Ran; Zhang, Zhimin 12 2019 Maximum-norms error estimates for high-order finite volume schemes over quadrilateral meshes. Zbl 1421.65027 He, Wenming; Zhang, Zhimin; Zou, Qingsong 11 2018 Convergence and Gibbs’ phenomenon in the cubic spline interpolation of discontinuous functions. Zbl 0898.41007 Zhang, Zhimin; Martin, Clyde F. 11 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 11 1998 A hybridizable weak Galerkin method for the Helmholtz equation with large wave number: \(hp\) analysis. Zbl 1429.65278 Wang, Jiangxing; Zhang, Zhimin 11 2017 Superconvergent two-grid methods for elliptic eigenvalue problems. Zbl 1365.65245 Guo, Hailong; Zhang, Zhimin; Zhao, Ren 11 2017 Hessian recovery for finite element methods. Zbl 1361.65087 Guo, Hailong; Zhang, Zhimin; Zhao, Ren 11 2017 Approximation methods for the distributed order calculus using the convolution quadrature. Zbl 1472.65034 Yin, Baoli; Liu, Yang; Li, Hong; Zhang, Zhimin 11 2021 A numerical analysis of the weak Galerkin method for the Helmholtz equation with high wave number. Zbl 1488.65610 Du, Yu; Zhang, Zhimin 11 2017 Locking and robustness in the finite element method for circular arch problem. Zbl 0822.65089 Zhang, Zhimin 10 1995 Splines and linear control theory. Zbl 0892.41008 Zhang, Zhimin; Tomlinson, John; Martin, Clyde 10 1997 Supercloseness analysis and polynomial preserving recovery for a class of weak Galerkin methods. Zbl 1390.65150 Wang, Ruishu; Zhang, Ran; Zhang, Xu; Zhang, Zhimin 10 2018 The partition of unity method for the elastically supported beam. Zbl 0959.74078 Babuška, Ivo; Zhang, Zhimin 10 1998 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 10 2015 Ultraconvergence of high order FEMs for elliptic problems with variable coefficients. Zbl 1365.65254 He, Wen-Ming; Zhang, Zhimin; Zou, Qingsong 10 2017 \(2k\) superconvergence of \(Q_k\) finite elements by anisotropic mesh approximation in weighted Sobolev spaces. Zbl 1361.65085 He, Wenming; Zhang, Zhimin 10 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 10 2016 Implicit-explicit relaxation Runge-Kutta methods: construction, analysis and applications to PDEs. Zbl 1511.65068 Li, Dongfang; Li, Xiaoxi; Zhang, Zhimin 6 2023 Linearly implicit and high-order energy-preserving relaxation schemes for highly oscillatory Hamiltonian systems. Zbl 07652817 Li, Dongfang; Li, Xiaoxi; Zhang, Zhimin 5 2023 On discrete energy dissipation of Maxwell’s equations in a Cole-Cole dispersive medium. Zbl 07750351 Yin, Baoli; Liu, Yang; Li, Hong; Zhang, Zhimin 1 2023 Two families of second-order fractional numerical formulas and applications to fractional differential equations. Zbl 1522.34028 Yin, Baoli; Liu, Yang; Li, Hong; Zhang, Zhimin 1 2023 A new family of nonconforming elements with \(\boldsymbol{H}(\operatorname{curl})\)-continuity for the 3D quad-curl problem. Zbl 1515.65303 Zhang, Baiju; Zhang, Zhimin 1 2023 A \(C^0\) finite element method for the biharmonic problem with Navier boundary conditions in a polygonal domain. Zbl 07726049 Li, Hengguang; Yin, Peimeng; Zhang, Zhimin 1 2023 A family of edge-centered finite volume schemes for heterogeneous and anisotropic diffusion problems on unstructured meshes. Zbl 07741330 Liu, Ziqi; Miao, Shuai; Zhang, Zhimin 1 2023 Superconvergence of Legendre-Gauss-Lobatto interpolation and spectral collocation. Zbl 1511.65134 Tian, Yan; Kong, Desong; Zhang, Zhimin 1 2023 A family of finite element Stokes complexes in three dimensions. Zbl 1522.65212 Hu, Kaibo; Zhang, Qian; Zhang, Zhimin 14 2022 Mesh-robustness of an energy stable BDF2 scheme with variable steps for the Cahn-Hilliard model. Zbl 1492.35397 Liao, Hong-lin; Ji, Bingquan; Wang, Lin; Zhang, Zhimin 14 2022 A posteriori error estimates of spectral approximations for second order partial differential equations in spherical geometries. Zbl 1490.65249 Zhou, Jianwei; Li, Huiyuan; Zhang, Zhimin 7 2022 Unconditionally optimal convergence of an energy-conserving and linearly implicit scheme for nonlinear wave equations. Zbl 1493.65147 Cao, Waixiang; Li, Dongfang; Zhang, Zhimin 7 2022 Efficient shifted fractional trapezoidal rule for subdiffusion problems with nonsmooth solutions on uniform meshes. Zbl 07515303 Yin, Baoli; Liu, Yang; Li, Hong; Zhang, Zhimin 4 2022 A \(C^1\) conforming Petrov-Galerkin method for convection-diffusion equations and superconvergence analysis over rectangular meshes. Zbl 07714592 Cao, Waixiang; Jia, Lueling; Zhang, Zhimin 4 2022 FE-holomorphic operator function method for nonlinear plate vibrations with elastically added masses. Zbl 1490.74110 Pang, Xiangying; Sun, Jiguang; Zhang, Zhimin 3 2022 Linearly implicit invariant-preserving decoupled difference scheme for the rotation-two-component Camassa-Holm system. Zbl 1492.65248 Zhang, Qifeng; Liu, Lingling; Zhang, Zhimin 1 2022 Sparse spectral-Galerkin method on an arbitrary tetrahedron using generalized Koornwinder polynomials. Zbl 1490.65277 Jia, Lueling; Li, Huiyuan; Zhang, Zhimin 1 2022 A priori and a posteriori error estimates for the quad-curl eigenvalue problem. Zbl 1490.65256 Wang, Lixiu; Zhang, Qian; Sun, Jiguang; Zhang, Zhimin 1 2022 Analysis of adaptive BDF2 scheme for diffusion equations. Zbl 1466.65067 Liao, Hong-Lin; Zhang, Zhimin 44 2021 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 35 2021 The unified theory of shifted convolution quadrature for fractional calculus. Zbl 1523.65073 Liu, Yang; Yin, Baoli; Li, Hong; Zhang, Zhimin 15 2021 Approximation methods for the distributed order calculus using the convolution quadrature. Zbl 1472.65034 Yin, Baoli; Liu, Yang; Li, Hong; Zhang, Zhimin 11 2021 A novel scheme to capture the initial dramatic evolutions of nonlinear subdiffusion equations. Zbl 1481.65151 Qin, Hongyu; Li, Dongfang; Zhang, Zhimin 10 2021 A CG-DG method for Maxwell’s equations in Cole-Cole dispersive media. Zbl 1468.65153 Wang, Jiangxing; Zhang, Jiwei; Zhang, Zhimin 6 2021 Finite element calculation of photonic band structures for frequency dependent materials. Zbl 1466.65207 Xiao, Wenqiang; Gong, Bo; Sun, Jiguang; Zhang, Zhimin 5 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 5 2021 \(H(\mathrm{curl}^2)\)-conforming spectral element method for quad-curl problems. Zbl 1473.65319 Wang, Lixiu; Li, Huiyuan; Zhang, Zhimin 4 2021 A \(C^1\) Petrov-Galerkin method and Gauss collocation method for 1D general elliptic problems and superconvergence. Zbl 1465.65128 Cao, Waixiang; Jia, Lueling; Zhang, Zhimin 4 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 4 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 4 2021 A mortar spectral element method for full-potential electronic structure calculations. Zbl 1475.65182 Guo, Yichen; Jia, Lueling; Chen, Huajie; Li, Huiyuan; Zhang, Zhimin 2 2021 High-order fully discrete energy diminishing evolving surface finite element methods for a class of geometric curvature flows. Zbl 1499.65491 Duan, Beiping; Li, Buyang; Zhang, Zhimin 2 2021 A rational approximation scheme for computing Mittag-Leffler function with discrete elliptic operator as input. Zbl 1469.65037 Duan, Beiping; Zhang, Zhimin 2 2021 Superconvergence analysis of the ultra-weak local discontinuous Galerkin method for one dimensional linear fifth order equations. Zbl 1500.65071 Tao, Qi; Cao, Waixiang; Zhang, Zhimin 1 2021 Two-parameter localization for eigenfunctions of a Schrödinger operator in balls and spherical shells. Zbl 1497.35123 Jia, Chen; Zhang, Zhimin; Zhao, Lewei 1 2021 Robust recovery-type a posteriori error estimators for streamline upwind/Petrov Galerkin discretizations for singularly perturbed problems. Zbl 1478.65120 Du, Shaohong; Lin, Runchang; Zhang, Zhimin 1 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 20 2020 A spectrally accurate approximation to subdiffusion equations using the log orthogonal functions. Zbl 1434.65291 Chen, Sheng; Shen, Jie; Zhang, Zhimin; Zhou, Zhi 20 2020 Simple curl-curl-conforming finite elements in two dimensions. Zbl 1458.65148 Hu, Kaibo; Zhang, Qian; Zhang, Zhimin 18 2020 A new \(P_1\) weak Galerkin method for the biharmonic equation. Zbl 1427.65342 Ye, Xiu; Zhang, Shangyou; Zhang, Zhimin 10 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 9 2020 A shifted-inverse adaptive multigrid method for the elastic eigenvalue problem. Zbl 1473.65280 Gong, Bo; Han, Jiayu; Sun, Jiguang; Zhang, Zhimin 8 2020 A new finite element approach for the Dirichlet eigenvalue problem. Zbl 1464.65189 Xiao, Wenqiang; Gong, Bo; Sun, Jiguang; Zhang, Zhimin 8 2020 A class of efficient spectral methods and error analysis for nonlinear Hamiltonian systems. Zbl 1460.65128 An, Jing; Cao, Waixiang; Zhang, Zhimin 6 2020 Ball prolate spheroidal wave functions in arbitrary dimensions. Zbl 1445.42018 Zhang, Jing; Li, Huiyuan; Wang, Li-Lian; Zhang, Zhimin 6 2020 A Hodge decomposition method for dynamic Ginzburg-Landau equations in nonsmooth domains – a second approach. Zbl 1473.65204 Li, Buyang; Wang, Kai; Zhang, Zhimin 5 2020 Local superconvergence of post-processed high-order finite volume element solutions. Zbl 1454.65145 He, Wenming; Zhang, Zhimin; Zou, Qingsong 5 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 5 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 5 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 3 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 3 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 2 2020 Vector-type boundary schemes for the lattice Boltzmann method based on vector-BGK models. Zbl 1453.35135 Zhao, Jin; Zhang, Zhimin; Yong, Wen-An 1 2020 Seven-velocity three-dimensional vectorial lattice Boltzmann method including various types of approximations to the pressure and two-parameterized second-order boundary treatments. Zbl 1524.76320 Zhao, Jin; Zhang, Zhimin 1 2020 Convergence analysis of finite element approximation for 3-D magneto-heating coupling model. Zbl 1465.65104 Wang, Lixiu; Yao, Changhui; Zhang, Zhimin 1 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 1 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 67 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 19 2019 The weak Galerkin method for elliptic eigenvalue problems. Zbl 1473.65284 Zhai, Qilong; Xie, Hehu; Zhang, Ran; Zhang, Zhimin 13 2019 Superconvergence analysis and PPR recovery of arbitrary order edge elements for Maxwell’s equations. Zbl 1417.65208 Wang, Lixiu; Zhang, Qian; Zhang, Zhimin 13 2019 A curl-conforming weak Galerkin method for the quad-curl problem. Zbl 1427.65378 Sun, Jiguang; Zhang, Qian; Zhang, Zhimin 12 2019 Acceleration of weak Galerkin methods for the Laplacian eigenvalue problem. Zbl 1419.65128 Zhai, Qilong; Xie, Hehu; Zhang, Ran; Zhang, Zhimin 12 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 8 2019 Superconvergence points for the spectral interpolation of Riesz fractional derivatives. Zbl 1434.65292 Deng, Beichuan; Zhang, Zhimin; Zhao, Xuan 6 2019 An efficient spectral Petrov-Galerkin method for nonlinear Hamiltonian systems. Zbl 1473.65228 An, Jing; Cao, Waixiang; Zhang, Zhimin 5 2019 \(C^1\)-conforming quadrilateral spectral element method for fourth-order equations. Zbl 1449.65334 Li, Huiyuan; Shan, Weikun; Zhang, Zhimin 5 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 4 2019 Convergence analysis of a discontinuous Galerkin method for wave equations in second-order form. Zbl 1450.65119 Du, Yu; Zhang, Lu; Zhang, Zhimin 2 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 1 2019 Superconvergence points of integer and fractional derivatives of special Hermite interpolations and its applications in solving FDEs. Zbl 1426.65188 Deng, Beichuan; Zhang, Jiwei; Zhang, Zhimin 1 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 61 2018 Superconvergence of discontinuous Galerkin method for scalar nonlinear hyperbolic equations. Zbl 1450.65116 Cao, Waixiang; Shu, Chi-Wang; Yang, Yang; Zhang, Zhimin 25 2018 Numerical solution to a linearized time fractional KdV equation on unbounded domains. Zbl 1381.65071 Zhang, Qian; Zhang, Jiwei; Jiang, Shidong; Zhang, Zhimin 23 2018 A \(C^0\) linear finite element method for biharmonic problems. Zbl 1398.65300 Guo, Hailong; Zhang, Zhimin; Zou, Qingsong 19 2018 Spectral methods for substantial fractional differential equations. Zbl 1398.65317 Huang, Can; Zhang, Zhimin; Song, Qingshuo 12 2018 Maximum-norms error estimates for high-order finite volume schemes over quadrilateral meshes. Zbl 1421.65027 He, Wenming; Zhang, Zhimin; Zou, Qingsong 11 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 10 2018 Superconvergence of partially penalized immersed finite element methods. Zbl 1462.65187 Guo, Hailong; Yang, Xu; Zhang, Zhimin 10 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 8 2018 The numerical computation of the time fractional Schrödinger equation on an unbounded domain. Zbl 1382.65250 Li, Dan; Zhang, Jiwei; Zhang, Zhimin 7 2018 Some recent developments in superconvergence of discontinuous Galerkin methods for time-dependent partial differential equations. Zbl 1407.65154 Cao, Waixiang; Zhang, Zhimin 7 2018 Efficient spectral methods for some singular eigenvalue problems. Zbl 1407.65311 Ma, Suna; Li, Huiyuan; Zhang, Zhimin 3 2018 An efficient spectral-Galerkin approximation and error analysis for Maxwell transmission eigenvalue problems in spherical geometries. Zbl 1388.78015 An, Jing; Zhang, Zhimin 2 2018 Optimal error estimates in numerical solution of time fractional Schrödinger equations on unbounded domains. Zbl 1468.65111 Sun, Zhi-Zhong; Zhang, Jiwei; Zhang, Zhimin 2 2018 The spectral-Galerkin approximation of nonlinear eigenvalue problems. Zbl 1394.65137 An, Jing; Shen, Jie; Zhang, Zhimin 2 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 200 2017 Optimal superconvergence of energy conserving local discontinuous Galerkin methods for wave equations. Zbl 1388.65097 Cao, Waixiang; Li, Dongfang; Zhang, Zhimin 32 2017 Superconvergence of the direct discontinuous Galerkin method for convection-diffusion equations. Zbl 1361.65061 Cao, Waixiang; Liu, Hailiang; Zhang, Zhimin 28 2017 Superconvergence of immersed finite element methods for interface problems. Zbl 1380.65365 Cao, Waixiang; Zhang, Xu; Zhang, Zhimin 26 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 21 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 19 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 16 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 15 2017 Superconvergence of immersed finite volume methods for one-dimensional interface problems. Zbl 1384.65045 Cao, Waixiang; Zhang, Xu; Zhang, Zhimin; Zou, Qingsong 15 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 14 2017 A hybridizable weak Galerkin method for the Helmholtz equation with large wave number: \(hp\) analysis. Zbl 1429.65278 Wang, Jiangxing; Zhang, Zhimin 11 2017 Superconvergent two-grid methods for elliptic eigenvalue problems. Zbl 1365.65245 Guo, Hailong; Zhang, Zhimin; Zhao, Ren 11 2017 Hessian recovery for finite element methods. Zbl 1361.65087 Guo, Hailong; Zhang, Zhimin; Zhao, Ren 11 2017 A numerical analysis of the weak Galerkin method for the Helmholtz equation with high wave number. Zbl 1488.65610 Du, Yu; Zhang, Zhimin 11 2017 Ultraconvergence of high order FEMs for elliptic problems with variable coefficients. Zbl 1365.65254 He, Wen-Ming; Zhang, Zhimin; Zou, Qingsong 10 2017 ...and 123 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,092 Authors 138 Zhang, Zhimin 53 Huang, Yunqing 32 Yang, Yidu 29 Zou, Qingsong 28 Baccouch, Mahboub 25 Li, Hong 25 Li, Jichun 25 Liu, Yang 23 Cao, Waixiang 23 Li, Dongfang 20 Bi, Hai 19 Chen, Yanping 19 Guo, Hailong 19 He, Wenming 19 Li, Huiyuan 18 Hu, Jun 18 Zhang, Jiwei 17 Li, Yonghai 17 Liao, HongLin 17 Zhang, Shangyou 16 Stynes, Martin Joseph 16 Zhang, Jin 16 Zhu, Qiding 15 Yi, Nianyu 14 Shi, Dongyang 14 Wang, Lilian 14 Xie, Hehu 14 Xie, Xiaoping 14 Yang, Wei 14 Yin, Baoli 14 Zhang, Xu 13 Liu, Jinghong 13 Liu, Xiaowei 13 Nie, Yufeng 13 Shu, Chi-Wang 12 Han, Jiayu 12 Jiang, Xiaoyun 12 Li, Buyang 12 Li, Meng 12 Yi, Lijun 12 Zhang, Qian 11 Huang, Chaobao 11 Lyu, Pin 11 Sun, Haiwei 11 Wang, Hong 11 Zhao, Ren 11 Zhou, Yanhui 10 Cheng, Yao 10 Dehghan Takht Fooladi, Mehdi 10 Hou, Dianming 10 Huang, Can 10 Liu, Fawang 10 Martin, Clyde Franklin 10 Tang, Yifa 10 Vong, Seakweng 10 Wang, Zhongqing 10 Wu, Boying 10 Wu, Jiming 10 Ye, Xiu 10 Zeng, Fanhai 10 Zhang, Ran 10 Zheng, Xiangcheng 9 An, Na 9 Cai, Zhiqiang 9 Gunzburger, Max D. 9 Lin, Qun 9 Liu, Huipo 9 Sun, Jiguang 9 Xie, Ziqing 9 Xu, Chuanju 9 Zhang, Qiang 9 Zhao, Yanmin 9 Zhou, Zhi 8 Cheng, Xiujun 8 Feng, Xinlong 8 Gao, Huadong 8 Huang, Weizhang 8 Lin, Runchang 8 Sun, Weiwei 8 Sun, Zhizhong 8 Wang, Xiang 8 Wu, Chao 8 Xiao, Aiguo 8 Xu, Jinchao 8 Xu, Minqiang 8 Yao, Changhui 8 Zaky, Mahmoud A. 8 Zhou, Aihui 7 Bu, Weiping 7 Cao, Wanrong 7 Celiker, Fatih 7 Chen, Long 7 Feng, Libo 7 Franz, Sebastian 7 Jia, Lueling 7 Jin, Zhuo 7 Karniadakis, George Em 7 Lin, Yanping 7 Liu, Tiegang 7 Liu, Yong ...and 1,992 more Authors all top 5 Cited in 190 Serials 209 Journal of Scientific Computing 106 Journal of Computational and Applied Mathematics 98 Computers & Mathematics with Applications 84 Applied Numerical Mathematics 70 Computer Methods in Applied Mechanics and Engineering 70 Applied Mathematics and Computation 68 Journal of Computational Physics 56 Mathematics of Computation 54 Numerical Methods for Partial Differential Equations 52 SIAM Journal on Numerical Analysis 41 Numerical Algorithms 39 Communications in Computational Physics 38 Applied Mathematics Letters 38 SIAM Journal on Scientific Computing 37 Numerische Mathematik 28 International Journal of Computer Mathematics 28 Advances in Computational Mathematics 28 International Journal of Numerical Analysis and Modeling 27 Mathematics and Computers in Simulation 26 Discrete and Continuous Dynamical Systems. 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Zeitschrift für Angewandte Mathematik und Mechanik 3 Engineering Computations 3 Lobachevskii Journal of Mathematics 3 Journal of Systems Science and Complexity 3 Multiscale Modeling & Simulation 3 Boundary Value Problems 3 SIAM/ASA Journal on Uncertainty Quantification 3 Open Mathematics 3 Annals of Applied Mathematics 3 Korean Journal of Mathematics 2 Inverse Problems 2 Journal of Fluid Mechanics 2 Physica A 2 Journal of Differential Equations 2 Mathematica Numerica Sinica 2 Applied Mathematics and Mechanics. (English Edition) 2 Mathematical and Computer Modelling 2 Stochastic Processes and their Applications 2 Potential Analysis 2 Applied Mathematics. Series B (English Edition) 2 Applied and Computational Harmonic Analysis 2 Mathematical Modelling and Analysis 2 Foundations of Computational Mathematics 2 Acta Mathematica Scientia. Series B. 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