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Author ID: zhang.zhimin Recent zbMATH articles by "Zhang, Zhimin"
Published as: Zhang, Zhimin; Zhang, Z.
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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
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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

Publications by Year

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
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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
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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. Series B
26 Advances in Applied Mathematics and Mechanics
24 Computational and Applied Mathematics
23 Science China. Mathematics
20 Communications in Nonlinear Science and Numerical Simulation
19 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
17 Communications on Applied Mathematics and Computation
16 BIT
16 Calcolo
15 Computational Methods in Applied Mathematics
14 Numerical Mathematics: Theory, Methods and Applications
12 Mathematical Methods in the Applied Sciences
12 Journal of Computational Mathematics
12 East Asian Journal on Applied Mathematics
11 Engineering Analysis with Boundary Elements
10 Journal of Mathematical Analysis and Applications
10 Advances in Difference Equations
9 International Journal for Numerical Methods in Engineering
9 Journal of Applied Mathematics and Computing
8 Applications of Mathematics
8 Mathematical Problems in Engineering
7 Automatica
7 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
7 International Journal of Computational Methods
7 Networks and Heterogeneous Media
7 Results in Applied Mathematics
6 Computer Physics Communications
6 Science in China. Series A
6 Abstract and Applied Analysis
6 Fractional Calculus & Applied Analysis
6 AIMS Mathematics
5 Applied Mathematical Modelling
5 Electronic Research Archive
4 Computers and Fluids
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3 International Journal of Control
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3 Chaos, Solitons and Fractals
3 Numerical Functional Analysis and Optimization
3 Computational Mechanics
3 Computational Mathematics and Mathematical Physics
3 SIAM Journal on Applied Mathematics
3 ETNA. Electronic Transactions on Numerical Analysis
3 Journal of Difference Equations and Applications
3 Nonlinear Dynamics
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3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
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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. (English Edition)
2 Journal of Numerical Mathematics
2 Stochastics and Dynamics
2 Central European Journal of Mathematics
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2 Oberwolfach Reports
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2 International Journal of Biomathematics
2 Dynamic Games and Applications
...and 90 more Serials
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Cited in 42 Fields

1,630 Numerical analysis (65-XX)
941 Partial differential equations (35-XX)
169 Real functions (26-XX)
163 Fluid mechanics (76-XX)
146 Mechanics of deformable solids (74-XX)
129 Probability theory and stochastic processes (60-XX)
104 Optics, electromagnetic theory (78-XX)
99 Ordinary differential equations (34-XX)
62 Approximations and expansions (41-XX)
48 Integral equations (45-XX)
40 Calculus of variations and optimal control; optimization (49-XX)
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