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Author ID: shi.dongyang Recent zbMATH articles by "Shi, Dongyang"
Published as: Shi, Dongyang; Shi, Dong-yang; Shi, Dongyan; Shi, Dong-Yang; Shi, Dong Yang; Shi, Dong-yan; Shi, Dong-Yan; Shi, DongYang; Shi, D. Y.; Shi, D.
External Links: dblp
Documents Indexed: 427 Publications since 1994
Co-Authors: 163 Co-Authors with 427 Joint Publications
4,242 Co-Co-Authors
all top 5

Co-Authors

0 single-authored
45 Chen, Shaochun
24 Wang, Fenling
18 Yang, Huaijun
17 Guan, Hongbo
17 Wang, Junjun
15 Pei, Lifang
15 Zhang, Houchao
15 Zhao, Yanmin
13 Li, Minghao
13 Ren, Jincheng
12 Hao, Xiaobin
11 Shi, Dongwei
11 Shi, Yanhua
11 Xu, Chao
10 Liao, Xin
10 Liu, Qian
10 Wang, Haihong
10 Zhang, Yadong
9 Yu, Zhiyun
8 Gong, Wei
8 Tang, Qili
8 Wu, Yanmi
7 Fan, Mingzhi
7 Liang, Hui
7 Peng, Yucheng
7 Wang, Lele
7 Zhou, Jiaquan
6 Li, Zhenzhen
6 Mao, Shipeng
6 Niu, Yuqi
6 Wang, Caixia
6 Wang, Huimin
6 Wang, Pingli
6 Wang, Qingshan
6 Xie, Pingli
5 Chen, Jinhuan
5 Guo, Cheng
5 Hagiwara, Ichiro
5 Jia, Xu
5 Wu, Jingzhu
5 Yan, Fengna
5 Yao, Changhui
5 Zhang, Sihui
4 Wang, Ran
4 Wu, Zhiqin
4 Zhang, Buying
3 Cao, Liqun
3 Dai, Ying
3 Dong, Xiaojing
3 Du, Yuepeng
3 Li, Chaoqun
3 Li, Meng
3 Li, Zhiyan
3 Liang, Qian
3 Ma, Ge
3 Pang, Fuzhen
3 Shi, Zhongci
3 Wang, Yu
3 Wang, Zhikai
3 Zhang, Ding
3 Zhang, Yiran
3 Zhang, Yongwei
3 Zhu, Huiqing
2 Chen, Baofeng
2 Diao, Qun
2 e Ahad, Fazl
2 Guan, Xiaofei
2 Helal, Wasim M. K.
2 Hu, Leyao
2 Huang, Kun
2 Kou, Jisheng
2 Li, Kaitai
2 Li, Qingfu
2 Li, Qingshan
2 Li, Qiuhong
2 Liang, Conggang
2 Meng, Xiaoran
2 Mu, Pengcong
2 Qi, Zhenqi
2 Shi, Xiangyu
2 Turner, Ian William
2 Wang, Lin
2 Wang, Peizhen
2 Wang, Xiaofeng
2 Wang, Xiaoling
2 Wang, Xiuhua
2 Yang, Xiaoxia
2 Zhang, Fang
2 Zhang, Feiran
2 Zhao, Mingxia
2 Zhao, Yongcheng
1 An, Xue
1 Chen, Hongru
1 Cui, Hongxin
1 Fang, Jianyin
1 Feng, Guijun
1 Feng, Weibing
1 Gao, Xinhui
1 Guan, Xianlei
1 Hao, Ying
...and 63 more Co-Authors
all top 5

Serials

28 Applied Mathematics and Computation
25 Mathematica Applicata
22 Mathematics in Practice and Theory
21 Journal of Computational Mathematics
19 Computers & Mathematics with Applications
17 Mathematica Numerica Sinica
17 Chinese Journal of Engineering Mathematics
15 Journal of Henan Normal University. Natural Science
13 Applied Numerical Mathematics
13 Applied Mathematics Letters
13 Journal of Zhengzhou University. Natural Science Edition
12 Numerical Methods for Partial Differential Equations
11 Applied Mathematics. Series A (Chinese Edition)
11 Acta Mathematica Scientia. Series A. (Chinese Edition)
9 Acta Mathematicae Applicatae Sinica. English Series
9 Journal of Systems Science and Complexity
8 Mathematical Methods in the Applied Sciences
8 Acta Mathematicae Applicatae Sinica
8 Journal of Xinyang Normal University. Natural Science Edition
7 Applied Mathematics and Mechanics. (English Edition)
6 Journal of Mathematical Analysis and Applications
6 Journal of Engineering Mathematics (Xi’an)
6 Journal of Systems Science and Mathematical Sciences
6 Communications in Nonlinear Science and Numerical Simulation
6 Advances in Applied Mathematics and Mechanics
5 Numerical Mathematics
5 Journal of Mathematics. Wuhan University
5 Applied Mathematical Modelling
5 Applied Mathematics. Series B (English Edition)
5 International Journal of Numerical Analysis and Modeling
4 Journal of Scientific Computing
4 Numerical Algorithms
4 Chinese Quarterly Journal of Mathematics
4 Acta Mathematica Scientia. Series B. (English Edition)
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Chinese Journal of Numerical Mathematics and Applications
3 Journal of Applied Mathematics
3 Journal of Shandong University. Natural Science
3 AMM. Applied Mathematics and Mechanics. (English Edition)
2 International Journal of Modern Physics B
2 Journal of Computational and Applied Mathematics
2 Mathematics and Computers in Simulation
2 Meccanica
2 Journal of Mathematical Research & Exposition
2 Advances in Mathematics (Beijing)
2 Journal of Biomathematics
2 International Journal of Computer Mathematics
2 Numerical Mathematics
2 Computational and Applied Mathematics
2 Advances in Computational Mathematics
2 Pure and Applied Mathematics
1 Computers and Fluids
1 IMA Journal of Numerical Analysis
1 Hokkaido Mathematical Journal
1 International Journal for Numerical Methods in Engineering
1 Numerical Functional Analysis and Optimization
1 Journal of Jiangxi Normal University. Natural Science Edition
1 Mathematical and Computer Modelling
1 Systems Science and Mathematical Sciences
1 Acta Mathematica Scientia
1 SIAM Journal on Scientific Computing
1 Engineering Analysis with Boundary Elements
1 Journal of Luoyang University
1 Mathematical Problems in Engineering
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Taiwanese Journal of Mathematics
1 Journal of Inequalities and Applications
1 RIMS Kokyuroku
1 Journal of Mathematical Study
1 Journal of Sichuan Normal University. Natural Science
1 Journal of Northwest Normal University. Natural Science
1 Journal of Tianjin Normal University. Natural Science Edition
1 Journal of Shangqiu Teachers College
1 Chinese Journal of Computational Mechanics
1 The Australian Journal of Mathematical Analysis and Applications
1 Journal of Lanzhou University of Technology
1 Boundary Value Problems
1 Journal of Zhoukou Normal University
1 Numerical Mathematics: Theory, Methods and Applications
1 Journal of Henan University. Natural Science
1 Science China. Mathematics
1 International Journal of Engineering Mathematics

Publications by Year

Citations contained in zbMATH Open

258 Publications have been cited 2,007 times in 683 Documents Cited by Year
An anisotropic nonconforming finite element with some superconvergence results. Zbl 1074.65133
Shi, Dongyang; Mao, Shipeng; Chen, Shaochun
85
2005
Anisotropic interpolation and quasi-Wilson element for narrow quadrilateral meshes. Zbl 1049.65129
Chen, Shaochun; Shi, Dongyang; Zhao, Yongcheng
60
2004
Unconditional superconvergence analysis of a Crank-Nicolson Galerkin FEM for nonlinear Schrödinger equation. Zbl 1407.65162
Shi, Dongyang; Wang, Junjun
47
2017
Superconvergence analysis of anisotropic linear triangular finite element for nonlinear Schrödinger equation. Zbl 1314.65127
Shi, Dongyang; Wang, Pingli; Zhao, Yanmin
47
2014
Unconditional superconvergence analysis for nonlinear parabolic equation with \(EQ_1^{rot}\) nonconforming finite element. Zbl 1368.65162
Shi, Dongyang; Wang, Junjun; Yan, Fengna
45
2017
Nonconforming quadrilateral finite element method for a class of nonlinear sine-Gordon equations. Zbl 1288.65145
Shi, Dongyang; Pei, Lifang
42
2013
Superconvergence analysis of nonconforming finite element method for two-dimensional time fractional diffusion equations. Zbl 1382.65334
Zhao, Y.; Zhang, Y.; Shi, D.; Liu, Fawang; Turner, Ian
35
2016
\(EQ^{\text{rot}}_1\) nonconforming finite element approximation to Signorini problem. Zbl 1273.74548
Shi, DongYang; Xu, Chao
35
2013
High accuracy analysis of a new nonconforming mixed finite element scheme for Sobolev equations. Zbl 1244.65143
Shi, Dongyang; Zhang, Yadong
34
2011
Nonconforming mixed finite element approximation to the stationary Navier-Stokes equations on anisotropic meshes. Zbl 1166.76030
Shi, Dongyang; Ren, Jincheng
33
2009
An anisotropic nonconforming finite element method for approximating a class of nonlinear Sobolev equations. Zbl 1212.65457
Shi, Dongyang; Wang, Haihong; Du, Yuepeng
30
2009
Unconditional superconvergence analysis of the conservative linearized Galerkin FEMs for nonlinear Klein-Gordon-Schrödinger equation. Zbl 1477.65160
Li, Meng; Shi, Dongyang; Wang, Junjun; Ming, Wanyuan
30
2019
Anisotropic interpolations with application to nonconforming elements. Zbl 1057.65082
Chen, Shaochun; Zhao, Yongcheng; Shi, Dongyang
28
2004
Unconditional superconvergence analysis of a linearized Crank-Nicolson Galerkin FEM for generalized Ginzburg-Landau equation. Zbl 1437.65197
Li, Meng; Shi, Dongyang; Wang, Junjun
28
2020
Accuracy analysis for quasi-Wilson element. Zbl 0988.65097
Chen, Shaochun; Shi, Dongyang
27
2000
Low order Crouzeix-Raviart type nonconforming finite element methods for approximating Maxwell’s equations. Zbl 1160.78315
Shi, Dongyang; Pei, Lifang
27
2008
Superconvergence analysis of a two-grid method for semilinear parabolic equations. Zbl 1457.65091
Shi, Dongyang; Mu, Pengcong; Yang, Huaijun
27
2018
Convergence and asymptotic stability of Galerkin methods for a partial differential equation with piecewise constant argument. Zbl 1204.65110
Liang, Hui; Shi, Dongyang; Lv, Wanjin
25
2010
Unconditional superconvergence analysis of conforming finite element for nonlinear parabolic equation. Zbl 1411.65133
Shi, Dongyang; Wang, Junjun
24
2017
Unconditional optimal error estimates of a two-grid method for semilinear parabolic equation. Zbl 1427.65184
Shi, Dongyang; Yang, Huaijun
24
2017
Anisotropic nonconforming \(EQ_1^{rot}\) quadrilateral finite element approximation to second-order elliptic problems. Zbl 1276.65085
Shi, Dong-yang; Xu, Chao; Chen, Jin-huan
24
2013
Quasi-Wilson nonconforming element approximation for nonlinear dual phase lagging heat conduction equations. Zbl 1336.65169
Shi, Dongyang; Zhao, Yanmin; Wang, Fenling
23
2014
A new approach of the lowest order anisotropic mixed finite element high accuracy analysis for nonlinear sine-Gordon equations. Zbl 1340.65202
Shi, Dongyang; Wang, Fenling; Fan, Mingzhi; Zhao, Yanmin
20
2015
Unconditional superconvergence analysis for nonlinear hyperbolic equation with nonconforming finite element. Zbl 1411.65134
Shi, Dongyang; Wang, Junjun
20
2017
Superclose and superconvergence of finite element discretizations for the Stokes equations with damping. Zbl 1366.76056
Shi, Dongyang; Yu, Zhiyun
20
2013
Two-level mixed finite element methods for the Navier-Stokes equations with damping. Zbl 1404.65177
Li, Minghao; Shi, Dongyang; Li, Zhenzhen; Chen, Hongru
20
2019
Unconditional superconvergence analysis of an \(H^1\)-Galerkin mixed finite element method for nonlinear Sobolev equations. Zbl 1390.65120
Shi, Dongyang; Wang, Junjun; Yan, Fengna
19
2018
Non \(C^0\) nonconforming elements for elliptic fourth order singular perturbation problem. Zbl 1069.65125
Chen, Shaochun; Zhao, Yongchen; Shi, Dongyang
19
2005
Superconvergence of an \(H^1\)-Galerkin nonconforming mixed finite element method for a parabolic equation. Zbl 1350.65098
Zhang, Yadong; Shi, Dongyang
19
2013
Superconvergence analysis for nonlinear parabolic equation with \(EQ_1^{\mathrm{rot}}\) nonconforming finite element. Zbl 1398.65274
Shi, Dongyang; Wang, Junjun; Yan, Fengna
18
2018
Analytical solution and nonconforming finite element approximation for the 2D multi-term fractional subdiffusion equation. Zbl 1471.65156
Zhao, Y. M.; Zhang, Y. D.; Liu, F.; Turner, I.; Shi, D. Y.
18
2016
Nonconforming \(H^{1}\)-Galerkin mixed FEM for Sobolev equations on anisotropic meshes. Zbl 1187.65131
Shi, Dong-Yang; Wang, Hai-Hong
17
2009
A kind of improved Wilson arbitrary quadrilateral elements. Zbl 0811.65094
Shi, Dongyang; Chen, Shaochun
17
1994
Nonconforming mixed finite element method for the stationary conduction-convection problem. Zbl 1165.65080
Shi, Dongyang; Ren, Jincheng
16
2009
A new approach of superconvergence analysis for nonlinear BBM equation on anisotropic meshes. Zbl 1337.65122
Shi, Dongyang; Yang, Huaijun
16
2016
Convergence and superconvergence of a nonconforming finite element on anisotropic meshes. Zbl 1122.65098
Mao, Shipeng; Chen, Shaochun; Shi, Dongyang
15
2007
Stabilized low order finite elements for Stokes equations with damping. Zbl 1330.76073
Li, Minghao; Shi, Dongyang; Dai, Ying
15
2016
Superconvergence analysis of conforming finite element method for nonlinear Schrödinger equation. Zbl 1410.65378
Shi, Dongyang; Liao, Xin; Wang, Lele
15
2016
A least squares Galerkin-Petrov nonconforming mixed finite element method for the stationary conduction-convection problem. Zbl 1189.76345
Shi, Dongyang; Ren, Jincheng
14
2010
Accuracy analysis for Quasi-Carey element. Zbl 1173.65348
Shi, Dongyang; Hao, Xiaobin
14
2008
Unconditional superconvergence analysis of a linearized Galerkin FEM for nonlinear hyperbolic equations. Zbl 1384.65062
Shi, Dongyang; Wang, Junjun
13
2017
The superconvergence analysis of an anisotropic finite element. Zbl 1083.65103
Shi, Dongyang; Zhu, Huiqing
13
2005
A locking-free anisotropic nonconforming finite element for planar linear elasticity problem. Zbl 1125.65107
Shi, Dongyang; Mao, Shipeng; Chen, Shaochun
13
2007
Superconvergence analysis of Wilson element on anisotropic meshes. Zbl 1231.65220
Shi, Dong-Yang; Liang, Hui
13
2007
Superconvergence analysis of an \(H^1\)-Galerkin mixed finite element method for Sobolev equations. Zbl 1361.65065
Shi, Dongyang; Wang, Junjun
13
2016
Superconvergence analysis and extrapolation of quasi-Wilson nonconforming finite element method for nonlinear Sobolev equations. Zbl 1273.65123
Shi, Dongyang; Wang, Fenling; Zhao, Yanmin
13
2013
A nonconforming anisotropic finite element approximation with moving grids for Stokes problem. Zbl 1108.76041
Shi, Dongyang; Zhang, Yiran
12
2006
A class of Crouzeix-Raviart type nonconforming finite element methods for parabolic variational inequality problem with moving grid on anisotropic meshes. Zbl 1181.65100
Shi, Dongyang; Guan, Hongbo
12
2007
A new robust \(C^{0}\)-type nonconforming triangular element for singular perturbation problems. Zbl 1222.65128
Xie, Pingli; Shi, Dongyang; Li, Hua
12
2010
Approximation of nonconforming quasi-Wilson element for sine-Gordon equations. Zbl 1289.65228
Shi, Dongyang; Zhang, Ding
12
2013
A low order characteristic-nonconforming finite element method for nonlinear Sobolev equation with convection-dominated term. Zbl 07313376
Shi, Dongyang; Tang, Qili; Gong, Wei
12
2015
Superconvergence analysis of two-grid finite element method for nonlinear Benjamin-Bona-Mahony equation. Zbl 1479.65010
Shi, Dongyang; Jia, Xu
11
2020
Stabilized mixed finite element methods for the Navier-Stokes equations with damping. Zbl 1409.65097
Li, Zhenzhen; Shi, Dongyang; Li, Minghao
11
2019
Convergence and superconvergence analysis of a nonconforming finite element method for solving the Signorini problem. Zbl 1330.65182
Shi, Dongyang; Ren, Jincheng; Gong, Wei
10
2012
A class of six-parameter nonconforming arbitrary quadrilateral elements. Zbl 0861.65093
Shi, Dongyang; Chen, Shaochun
10
1996
A high accuracy NFEM for constrained optimal control problems governed by elliptic equations. Zbl 1335.49046
Guan, Hong-Bo; Shi, Dong-Yang
10
2014
High accuracy analysis of nonconforming MFEM for constrained optimal control problems governed by Stokes equations. Zbl 1330.65178
Guan, Hongbo; Shi, Dongyang; Guan, Xiaofei
10
2016
Superconvergence analysis of a two grid finite element method for Ginzburg-Landau equation. Zbl 1433.65222
Shi, Dongyang; Liu, Qian
10
2020
Convergence and superconvergence analysis of finite element methods for the time fractional diffusion equation. Zbl 1435.65127
Li, Meng; Shi, Dongyang; Pei, Lifang
10
2020
Unconditionally optimal error estimates of a new mixed FEM for nonlinear Schrödinger equations. Zbl 1435.65164
Shi, Dongyang; Yang, Huaijun
10
2019
Nonconforming finite element method for a generalized nonlinear Schrödinger equation. Zbl 1474.65375
Zhang, Houchao; Shi, Dongyang; Li, Qingfu
10
2020
Nonconforming \(H^{1}\)-Galerkin mixed finite element method for strongly damped wave equations. Zbl 1284.65138
Shi, Dong-Yang; Tang, Qi-Li
10
2013
Superconvergence analysis of finite element method for time-fractional thermistor problem. Zbl 1427.65259
Shi, Dongyang; Yang, Huaijun
10
2018
A new low-order non-conforming mixed finite-element scheme for second-order elliptic problems. Zbl 1241.65103
Shi, Dongyang; Wang, Caixia
9
2011
Low order Crouzeix-Raviart type nonconforming finite element methods for the 3D time-dependent Maxwell’s equations. Zbl 1165.78006
Shi, Dongyang; Pei, Lifang
9
2009
Superconvergence analysis of the finite element method for nonlinear hyperbolic equations with nonlinear boundary condition. Zbl 1199.65317
Shi, Dongyang; Li, Zhiyan
9
2008
Highly efficient \(H^1\)-Galerkin mixed finite element method (MFEM) for parabolic integro-differential equation. Zbl 1294.65094
Shi, Dong-yang; Liao, Xin; Tang, Qi-li
9
2014
Low order nonconforming mixed finite element method for nonstationary incompressible Navier-Stokes equations. Zbl 1348.76057
Xu, Chao; Shi, Dongyang; Liao, Xin
9
2016
Unconditionally superclose analysis of a new mixed finite element method for nonlinear parabolic equations. Zbl 1438.65292
Shi, Dongyang; Yan, Fengna; Wang, Junjun
9
2019
Two low order characteristic finite element methods for a convection-dominated transport problem. Zbl 1198.65187
Shi, Dong-Yang; Wang, Xiao-Ling
9
2010
Unconditional superconvergent analysis of a new mixed finite element method for Ginzburg-Landau equation. Zbl 1419.65042
Shi, Dongyang; Liu, Qian
9
2019
Morley type non-\(C^0\) nonconforming rectangular plate finite elements on anisotropic meshes. Zbl 1218.74023
Shi, Dongyang; Xie, Pingli
8
2010
A new nonconforming mixed finite element scheme for the stationary Navier-Stokes equations. Zbl 1240.76019
Shi, Dongyang; Ren, Jincheng; Gong, Wei
8
2011
Error estimates for rotated \(Q_1^{rot}\) element approximation of the eigenvalue problem on anisotropic meshes. Zbl 1168.65066
Shi, Dongyang; Peng, Yucheng; Chen, Shaochun
8
2009
On the anisotropic accuracy analysis of ACM’s nonconforming finite element. Zbl 1087.65103
Shi, Dong-yang; Mao, Shi-peng; Chen, Shao-chun
8
2005
Free vibration of four-parameter functionally graded moderately thick doubly-curved panels and shells of revolution with general boundary conditions. Zbl 1443.74122
Wang, Qingshan; Shi, Dongyan; Liang, Qian; Pang, Fuzhen
8
2017
Nonconforming mixed finite element methods for stationary incompressible magnetohydrodynamics. Zbl 1426.76306
Shi, Dongyang; Yu, Zhiyun
8
2013
Superconvergence analysis of a new low order nonconforming MFEM for time-fractional diffusion equation. Zbl 1395.65089
Shi, Dongyang; Yang, Huaijun
8
2018
Superconvergence analysis of the mixed finite element method for the Rosenau equation. Zbl 1464.65128
Shi, Dongyang; Jia, Xu
8
2020
Superconvergence analysis of finite element method for Poisson-Nernst-Planck equations. Zbl 1418.65137
Shi, Dongyang; Yang, Huaijun
8
2019
Convergence analysis for a nonconforming membrane element on anisotropic meshes. Zbl 1120.65335
Shi, Dongyang; Chen, Shaochun; Hagiwara, Ichiro
7
2005
A new error analysis of nonconforming Bergan’s energy-orthogonal element for the extended Fisher-Kolmogorov equation. Zbl 1404.65130
Pei, Lifang; Shi, Dongyang
7
2018
Anisotropic Crouzeix-Raviart type nonconforming finite element methods to variational inequality problem with displacement obstacle. Zbl 1340.65132
Shi, Dongyang; Wang, Caixia; Tang, Qili
7
2015
A low order anisotropic nonconforming characteristic finite element method for a convection-dominated transport problem. Zbl 1172.65059
Shi, Dong-Yang; Wang, Xiao-Ling
7
2009
Superconvergence analysis of nonconforming FEM for nonlinear time-dependent thermistor problem. Zbl 1429.65231
Shi, Dongyang; Yang, Huaijun
7
2019
Uniformly superconvergent analysis of an efficient two-grid method for nonlinear bi-wave singular perturbation problem. Zbl 1433.65312
Shi, Dongyang; Wu, Yanmi
7
2020
Free vibrations of composite laminated doubly-curved shells and panels of revolution with general elastic restraints. Zbl 1443.74121
Wang, Qingshan; Shi, Dongyan; Liang, Qian; Pang, Fuzhen
7
2017
Uniform superconvergent analysis of a new mixed finite element method for nonlinear bi-wave singular perturbation problem. Zbl 1414.65036
Shi, Dongyang; Wu, Yanmi
7
2019
Superconvergence analysis of a two-grid method for an energy-stable Ciarlet-Raviart type scheme of Cahn-Hilliard equation. Zbl 1465.65101
Liu, Qian; Shi, Dongyang
7
2020
An efficient NFEM for optimal control problems governed by a bilinear state equation. Zbl 1442.49035
Guan, Hongbo; Shi, Dongyang
7
2019
Unconditional convergence and superconvergence analysis for the transient Stokes equations with damping. Zbl 1508.76071
Li, Zhenzhen; Li, Minghao; Shi, Dongyang
7
2021
Uniform superconvergence analysis of Ciarlet-Raviart scheme for bi-wave singular perturbation problem. Zbl 1405.65128
Shi, Dongyang; Wu, Yanmi
7
2018
A nonconforming quadrilateral finite element approximation to nonlinear Schrödinger equation. Zbl 1399.65336
Shi, Dongyang; Liao, Xin; Wang, Lele
6
2017
Anisotropic rectangular nonconforming finite element analysis for Sobolev equations. Zbl 1221.65260
Shi, Dong-yang; Wang, Hai-hong; Guo, Cheng
6
2008
A new second-order nonconforming mixed finite element scheme for the stationary Stokes and Navier-Stokes equations. Zbl 1158.76026
Shi, Dongyang; Ren, Jincheng; Hao, Xiaobin
6
2009
The superconvergence analysis of linear triangular element on anisotropic meshes. Zbl 1142.65426
Shi, Dongyang; Liang, Hui
6
2007
High accuracy analysis of new schemes for second order elliptic problem for recurrent event data. Zbl 1313.65308
Shi, Dongyang; Li, Minghao
6
2014
\(P_1\)-nonconforming triangular finite element method for elliptic and parabolic interface problems. Zbl 1322.65106
Guan, Hongbo; Shi, Dongyang
6
2015
High accuracy analysis of a new mixed finite element method for nonlinear Schrödinger equation. Zbl 1340.65205
Zhao, Yanmin; Shi, Dongyang; Wang, Fenling
6
2015
Nonconforming finite element approximation of time-dependent Maxwell’s equations in Debye medium. Zbl 1315.78010
Shi, Dongyang; Yao, Changhui
6
2014
A linearized decoupled Crank-Nicolson FEM for Keller-Segel chemotactic model with nonlinear secretion. Zbl 1508.65133
Shi, Dongyang; Li, Chaoqun
2
2023
Unconditional superconvergence analysis of a modified nonconforming energy stable BDF2 FEM for Sobolev equations with Burgers’ type nonlinearity. Zbl 07758892
Shi, Dongyang; Ma, He
1
2023
Unconditional superconvergence analysis of an energy-stable C-N fully discrete scheme for the nonlinear magnetic diffusion model with memory. Zbl 07727104
Shi, Dongyang; Zhang, Sihui
1
2023
Superconvergence analysis of a BDF-Galerkin FEM for the nonlinear Klein-Gordon-Schrödinger equations with damping mechanism. Zbl 1515.65250
Shi, Dongyang; Zhang, Houchao
1
2023
Unconditional superconvergence analysis for the nonlinear bi-flux diffusion equation. Zbl 1511.65106
Shi, Dongyang; Zhang, Sihui
1
2023
Unconditional superconvergence analysis of nonconforming \(EQ_1^{rot}\) finite element method for the nonlinear coupled predator-prey equations. Zbl 07699025
Zhang, Sihui; Shi, Xiangyu; Shi, Dongyang
1
2023
Unconditional superconvergence of the fully-discrete schemes for nonlinear prey-predator model. Zbl 1484.92005
Shi, Dongyang; Zhang, Sihui
5
2022
Unconditional optimal error estimates for the transient Navier-Stokes equations with damping. Zbl 1499.65502
Li, Minghao; Li, Zhenzhen; Shi, Dongyang
3
2022
High accuracy analysis of Galerkin finite element method for Klein-Gordon-Zakharov equations. Zbl 1510.65252
Shi, Dongyang; Wang, Ran
2
2022
Unconditionally optimal error estimates of the bilinear-constant scheme for time-dependent Navier-Stokes equations. Zbl 1499.65543
Yang, Huaijun; Shi, Dongyang
2
2022
Optimal error estimates of Galerkin method for a nonlinear parabolic integro-differential equation. Zbl 1502.65151
Yang, Huaijun; Shi, Dongyang
1
2022
A linearized conservative nonconforming FEM for nonlinear Klein-Gordon-Schrödinger equations. Zbl 1524.65594
Shi, Dongyang; Zhang, Houchao
1
2022
Unconditional convergence and superconvergence analysis for the transient Stokes equations with damping. Zbl 1508.76071
Li, Zhenzhen; Li, Minghao; Shi, Dongyang
7
2021
Superconvergence analysis of two-grid methods for bacteria equations. Zbl 1456.65122
Shi, Dongyang; Li, Chaoqun
6
2021
Nonconforming quasi-Wilson finite element approximation for the nonlinear Rosenau equation. Zbl 1524.65593
Shi, Dongyang; Jia, Xu
5
2021
Quasi-uniform and unconditional superconvergence analysis of Ciarlet-Raviart scheme for the fourth order singularly perturbed bi-wave problem modeling \(d\)-wave superconductors. Zbl 1508.35176
Wu, Yanmi; Shi, Dongyang
4
2021
Two efficient spectral methods for the nonlinear fractional wave equation in unbounded domain. Zbl 07331085
Wang, Nan; Shi, Dongyang
4
2021
Superconvergence analysis of low order nonconforming mixed finite element methods for time-dependent Navier-Stokes equations. Zbl 1474.65373
Yang, Huaijun; Shi, Dongyang; Liu, Qian
3
2021
Well-posedness and the multiscale algorithm for heterogeneous scattering of Maxwell’s equations in dispersive media. Zbl 1474.65452
Zhang, Yongwei; Cao, Liqun; Shi, Dongyang
1
2021
Superconvergence analysis of a mixed finite element approximation for the nonlinear fourth-order Rosenau-RLW equation. Zbl 1524.65592
Shi, Dongyang; Jia, Xu
1
2021
Multiscale analysis and algorithm of transient electromagnetic scattering from heterogeneous materials. Zbl 1466.65151
Zhang, Yongwei; Cao, Liqun; Shi, Dongyang; Lin, Yanping
1
2021
Unconditional superconvergence analysis of a linearized Crank-Nicolson Galerkin FEM for generalized Ginzburg-Landau equation. Zbl 1437.65197
Li, Meng; Shi, Dongyang; Wang, Junjun
28
2020
Superconvergence analysis of two-grid finite element method for nonlinear Benjamin-Bona-Mahony equation. Zbl 1479.65010
Shi, Dongyang; Jia, Xu
11
2020
Superconvergence analysis of a two grid finite element method for Ginzburg-Landau equation. Zbl 1433.65222
Shi, Dongyang; Liu, Qian
10
2020
Convergence and superconvergence analysis of finite element methods for the time fractional diffusion equation. Zbl 1435.65127
Li, Meng; Shi, Dongyang; Pei, Lifang
10
2020
Nonconforming finite element method for a generalized nonlinear Schrödinger equation. Zbl 1474.65375
Zhang, Houchao; Shi, Dongyang; Li, Qingfu
10
2020
Superconvergence analysis of the mixed finite element method for the Rosenau equation. Zbl 1464.65128
Shi, Dongyang; Jia, Xu
8
2020
Uniformly superconvergent analysis of an efficient two-grid method for nonlinear bi-wave singular perturbation problem. Zbl 1433.65312
Shi, Dongyang; Wu, Yanmi
7
2020
Superconvergence analysis of a two-grid method for an energy-stable Ciarlet-Raviart type scheme of Cahn-Hilliard equation. Zbl 1465.65101
Liu, Qian; Shi, Dongyang
7
2020
Unconditional superconvergent analysis of a linearized finite element method for Ginzburg-Landau equation. Zbl 1427.35262
Shi, Dongyang; Liu, Qian
5
2020
Superconvergence analysis for nonlinear reaction-diffusion equation with BDF-FEM. Zbl 1446.65182
Wang, Junjun; Shi, Dongyang
5
2020
Superconvergence analysis of the lowest order rectangular Raviart-Thomas element for semilinear parabolic equation. Zbl 1437.65205
Yang, Huaijun; Shi, Dongyang
5
2020
Nonconforming quadrilateral finite element method for nonlinear Kirchhoff-type equation with damping. Zbl 1452.65248
Shi, Dongyang; Wu, Yanmi
4
2020
Superconvergent analysis of a nonconforming mixed finite element method for non-stationary conduction-convection problem. Zbl 1443.65222
Shi, Dongyang; Liu, Qian
4
2020
New error analysis of a second order BDF scheme for unsteady natural convection problem. Zbl 1453.76079
Liu, Qian; Shi, Dongyang
4
2020
Nonconforming quadrilateral \(EQ_1^{rot}\) finite element method for Ginzburg-Landau equation. Zbl 07771393
Shi, Dongyang; Liu, Qian
3
2020
Unconditional superconvergence analysis of a two-grid finite element method for nonlinear wave equations. Zbl 1440.65268
Shi, Dongyang; Wang, Ran
3
2020
Superconvergence analysis of a two-grid method for nonlinear hyperbolic equations. Zbl 1447.65065
Wei, Yifan; Shi, Dongyang
2
2020
Superconvergence analysis for the Maxwell’s equations in Debye medium with a thermal effect. Zbl 1488.65481
Yao, Changhui; Shi, Dongyang; Hou, Mengmeng
2
2020
Convergence analysis of Wilson element for a generalized nerve conduction equation. Zbl 1463.65300
Liang, Conggang; Zhang, Houchao; Shi, Dongyang
1
2020
High accuracy error estimates of a Galerkin finite element method for nonlinear time fractional diffusion equation. Zbl 07771391
Ren, Jincheng; Shi, Dongyang; Vong, Seakweng
1
2020
Unconditional superconvergence analysis of the conservative linearized Galerkin FEMs for nonlinear Klein-Gordon-Schrödinger equation. Zbl 1477.65160
Li, Meng; Shi, Dongyang; Wang, Junjun; Ming, Wanyuan
30
2019
Two-level mixed finite element methods for the Navier-Stokes equations with damping. Zbl 1404.65177
Li, Minghao; Shi, Dongyang; Li, Zhenzhen; Chen, Hongru
20
2019
Stabilized mixed finite element methods for the Navier-Stokes equations with damping. Zbl 1409.65097
Li, Zhenzhen; Shi, Dongyang; Li, Minghao
11
2019
Unconditionally optimal error estimates of a new mixed FEM for nonlinear Schrödinger equations. Zbl 1435.65164
Shi, Dongyang; Yang, Huaijun
10
2019
Unconditionally superclose analysis of a new mixed finite element method for nonlinear parabolic equations. Zbl 1438.65292
Shi, Dongyang; Yan, Fengna; Wang, Junjun
9
2019
Unconditional superconvergent analysis of a new mixed finite element method for Ginzburg-Landau equation. Zbl 1419.65042
Shi, Dongyang; Liu, Qian
9
2019
Superconvergence analysis of finite element method for Poisson-Nernst-Planck equations. Zbl 1418.65137
Shi, Dongyang; Yang, Huaijun
8
2019
Superconvergence analysis of nonconforming FEM for nonlinear time-dependent thermistor problem. Zbl 1429.65231
Shi, Dongyang; Yang, Huaijun
7
2019
Uniform superconvergent analysis of a new mixed finite element method for nonlinear bi-wave singular perturbation problem. Zbl 1414.65036
Shi, Dongyang; Wu, Yanmi
7
2019
An efficient NFEM for optimal control problems governed by a bilinear state equation. Zbl 1442.49035
Guan, Hongbo; Shi, Dongyang
7
2019
A nonconforming finite element method for the stationary Smagorinsky model. Zbl 1428.76104
Shi, Dongyang; Li, Minghao; Li, Zhenzhen
4
2019
Superconvergence analysis of a new linearized MFEM for nonlinear Schrödinger equation. Zbl 1499.65525
Shi, Dongyang; Yang, Huaijun
4
2019
An efficient nonconforming finite element two-grid method for Allen-Cahn equation. Zbl 1464.65112
Shi, Dongyang; Liu, Qian
4
2019
Unconditional superconvergence analysis of an \({H^1}\)-Galerkin mixed finite element method for two-dimensional Ginzburg-Landau equation. Zbl 1449.65258
Shi, Dongyang; Wang, Junjun
2
2019
Superconvergence analysis for time-fractional diffusion equations with nonconforming mixed finite element method. Zbl 1449.65266
Zhang, Houchao; Shi, Dongyang
2
2019
Superconvergence analysis of low order nonconforming finite element methods for variational inequality problem with displacement obstacle. Zbl 1429.65279
Xu, Chao; Shi, Dongyang
1
2019
Convergence analysis of Wilson element for parabolic integro-differential equation. Zbl 1449.65317
Liang, Conggang; Yang, Xiaoxia; Shi, Dongyang
1
2019
Superconvergence analysis of a two-grid method for semilinear parabolic equations. Zbl 1457.65091
Shi, Dongyang; Mu, Pengcong; Yang, Huaijun
27
2018
Unconditional superconvergence analysis of an \(H^1\)-Galerkin mixed finite element method for nonlinear Sobolev equations. Zbl 1390.65120
Shi, Dongyang; Wang, Junjun; Yan, Fengna
19
2018
Superconvergence analysis for nonlinear parabolic equation with \(EQ_1^{\mathrm{rot}}\) nonconforming finite element. Zbl 1398.65274
Shi, Dongyang; Wang, Junjun; Yan, Fengna
18
2018
Superconvergence analysis of finite element method for time-fractional thermistor problem. Zbl 1427.65259
Shi, Dongyang; Yang, Huaijun
10
2018
Superconvergence analysis of a new low order nonconforming MFEM for time-fractional diffusion equation. Zbl 1395.65089
Shi, Dongyang; Yang, Huaijun
8
2018
A new error analysis of nonconforming Bergan’s energy-orthogonal element for the extended Fisher-Kolmogorov equation. Zbl 1404.65130
Pei, Lifang; Shi, Dongyang
7
2018
Uniform superconvergence analysis of Ciarlet-Raviart scheme for bi-wave singular perturbation problem. Zbl 1405.65128
Shi, Dongyang; Wu, Yanmi
7
2018
A new error analysis of nonconforming \(EQ^{rot}_1\) FEM for nonlinear BBM equation. Zbl 1488.65456
Shi, Yanhua; Zhao, Yanmin; Wang, Fenling; Shi, Dongyang
6
2018
A new approach of superconvergence analysis for two-dimensional time fractional diffusion equation. Zbl 1415.65231
Shi, Dongyang; Yang, Huaijun
6
2018
Superconvergent estimates of conforming finite element method for nonlinear time-dependent joule heating equations. Zbl 1390.65056
Shi, Dongyang; Yang, Huaijun
4
2018
A semi-analytical method for transverse vibration of sector-like thin plate with simply supported radial edges. Zbl 1480.74109
Guan, Xianlei; Tang, Jinyuan; Shi, Dongyan; shuai, Cijun; Wang, Qingshan
3
2018
Unconditional superconvergence analysis of a linearized Galerkin FEM for nonlinear Schrödinger equation. Zbl 1402.65117
Shi, Dongyang; Wang, Junjun
3
2018
A type of new lower order nonconforming mixed finite elements methods for the extended Fisher-Kolmogorov equation. Zbl 1424.65231
Zhang, Houchao; Wang, Junjun; Shi, Dongyang
3
2018
A new streamline diffusion finite element method for the generalized Oseen problem. Zbl 1382.65422
Xu, Chao; Shi, Dongyang; Liao, Xin
2
2018
High accuracy analysis of anisotropic linear triangular element for multi-term time fractional diffusion equations. Zbl 1424.65170
Wang, Fenling; Fan, Mingzhi; Zhao, Yanmin; Shi, Zhengguang; Shi, Dongyang
2
2018
Low order nonconforming finite element method for time-dependent nonlinear Schrödinger equation. Zbl 1499.65540
Xu, Chao; Zhou, Jiaquan; Shi, Dongyang; Zhang, Houchao
1
2018
The stabilized mixed finite element scheme of elasticity problem. Zbl 1404.65227
Li, Ming-hao; Shi, Dong-yang; Li, Zhen-zhen
1
2018
Unconditional superconvergence analysis of a Crank-Nicolson Galerkin FEM for nonlinear Schrödinger equation. Zbl 1407.65162
Shi, Dongyang; Wang, Junjun
47
2017
Unconditional superconvergence analysis for nonlinear parabolic equation with \(EQ_1^{rot}\) nonconforming finite element. Zbl 1368.65162
Shi, Dongyang; Wang, Junjun; Yan, Fengna
45
2017
Unconditional superconvergence analysis of conforming finite element for nonlinear parabolic equation. Zbl 1411.65133
Shi, Dongyang; Wang, Junjun
24
2017
Unconditional optimal error estimates of a two-grid method for semilinear parabolic equation. Zbl 1427.65184
Shi, Dongyang; Yang, Huaijun
24
2017
Unconditional superconvergence analysis for nonlinear hyperbolic equation with nonconforming finite element. Zbl 1411.65134
Shi, Dongyang; Wang, Junjun
20
2017
Unconditional superconvergence analysis of a linearized Galerkin FEM for nonlinear hyperbolic equations. Zbl 1384.65062
Shi, Dongyang; Wang, Junjun
13
2017
Free vibration of four-parameter functionally graded moderately thick doubly-curved panels and shells of revolution with general boundary conditions. Zbl 1443.74122
Wang, Qingshan; Shi, Dongyan; Liang, Qian; Pang, Fuzhen
8
2017
Free vibrations of composite laminated doubly-curved shells and panels of revolution with general elastic restraints. Zbl 1443.74121
Wang, Qingshan; Shi, Dongyan; Liang, Qian; Pang, Fuzhen
7
2017
A nonconforming quadrilateral finite element approximation to nonlinear Schrödinger equation. Zbl 1399.65336
Shi, Dongyang; Liao, Xin; Wang, Lele
6
2017
A nonconforming finite element method for constrained optimal control problems governed by parabolic equations. Zbl 1448.65161
Guan, Hong-Bo; Shi, Dong-Yang
3
2017
New estimates of mixed finite element method for fourth-order wave equation. Zbl 1368.65236
Shi, Dongyang; Wang, Lele; Liao, Xin
3
2017
High accuracy analysis of a new low order nonconforming mixed finite element method for the EFK equation. Zbl 1399.65345
Zhang, Houchao; Shi, Dongyang
3
2017
A new error analysis of Bergan’s energy-orthogonal element for a plate contact problem. Zbl 1393.74130
Pei, Lifang; Shi, Dongyang
2
2017
Benchmark solution for free vibration of thick open cylindrical shells on Pasternak foundation with general boundary conditions. Zbl 1416.74032
Wang, Qingshan; Shi, Dongyan; Pang, Fuzhen; e Ahad, Fazl
2
2017
High accuracy analysis of the lowest order \(H^1\)-Galerkin mixed finite element method for nonlinear sine-Gordon equations. Zbl 1372.65312
Shi, Dong-yang; Wang, Fen-ling; Zhao, Yan-min
1
2017
Superconvergence analysis of nonconforming finite element method for two-dimensional time fractional diffusion equations. Zbl 1382.65334
Zhao, Y.; Zhang, Y.; Shi, D.; Liu, Fawang; Turner, Ian
35
2016
Analytical solution and nonconforming finite element approximation for the 2D multi-term fractional subdiffusion equation. Zbl 1471.65156
Zhao, Y. M.; Zhang, Y. D.; Liu, F.; Turner, I.; Shi, D. Y.
18
2016
A new approach of superconvergence analysis for nonlinear BBM equation on anisotropic meshes. Zbl 1337.65122
Shi, Dongyang; Yang, Huaijun
16
2016
Stabilized low order finite elements for Stokes equations with damping. Zbl 1330.76073
Li, Minghao; Shi, Dongyang; Dai, Ying
15
2016
Superconvergence analysis of conforming finite element method for nonlinear Schrödinger equation. Zbl 1410.65378
Shi, Dongyang; Liao, Xin; Wang, Lele
15
2016
Superconvergence analysis of an \(H^1\)-Galerkin mixed finite element method for Sobolev equations. Zbl 1361.65065
Shi, Dongyang; Wang, Junjun
13
2016
High accuracy analysis of nonconforming MFEM for constrained optimal control problems governed by Stokes equations. Zbl 1330.65178
Guan, Hongbo; Shi, Dongyang; Guan, Xiaofei
10
2016
Low order nonconforming mixed finite element method for nonstationary incompressible Navier-Stokes equations. Zbl 1348.76057
Xu, Chao; Shi, Dongyang; Liao, Xin
9
2016
A unified solution for free in-plane vibration of orthotropic circular, annular and sector plates with general boundary conditions. Zbl 1480.74130
Wang, Qingshan; Shi, Dongyan; Liang, Qian; e Ahad, Fazl
6
2016
Double set parameter finite element method for two-sided displacement obstacle problem of clamped plate. Zbl 1335.74055
Shi, Dongyang; Pei, Lifang
4
2016
...and 158 more Documents
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Cited by 792 Authors

165 Shi, Dongyang
36 Li, Hong
31 Liu, Yang
30 Li, Meng
27 Yang, Huaijun
26 Zhao, Yanmin
22 Wang, Junjun
20 Chen, Shaochun
20 Mao, Shipeng
20 Wang, Fenling
18 Guan, Hongbo
14 Pei, Lifang
13 Liu, Fawang
12 Li, Minghao
12 Tang, Yifa
12 Wang, Jinfeng
12 Zhang, Houchao
11 Chen, Yanping
11 Fang, Zhichao
11 Liao, Xin
10 He, Siriguleng
10 Ren, Jincheng
10 Shang, Yueqiang
10 Xu, Chao
10 Yao, Changhui
10 Zhao, Jikun
9 Huang, Yunqing
9 Liu, Qian
9 Shi, Xiangyu
9 Wang, Qi
8 Shi, Yanhua
7 Huang, Pengzhan
7 Jia, Xu
7 Li, Xiaolin
7 Li, Zhenzhen
7 Lu, Linzhang
7 Wang, Jianyun
7 Wang, Lele
7 Yin, Baoli
7 Zhu, Huiqing
6 Feng, Xinlong
6 Gao, Wei
6 Liang, Hui
6 Long, Xiaonian
6 Meng, Zhaoliang
6 Shi, Zhengguang
6 Song, Shicang
6 Tian, Zhikun
6 Turner, Ian William
6 Wang, Qingshan
6 Wei, Yabing
6 Wu, Yanmi
6 Zhang, Tie
6 Zhang, Yadong
5 Ding, Qianqian
5 Feng, Minfu
5 Liu, Wei
5 Luo, Zhendong
5 Mei, Liquan
5 Tang, Qili
5 Wang, Nan
5 Xie, Xiaoping
5 Zhang, Chengjian
5 Zhang, Sihui
5 Zhang, Zhiyue
4 Chen, Hongru
4 Chen, Yongtang
4 Deng, Dingwen
4 Gong, Wei
4 Hou, Tianliang
4 Li, Mingxia
4 Li, Shuling
4 Luo, Zhongxuan
4 Pang, Fuzhen
4 Wang, Caixia
4 Wei, Yifan
4 Xiao, Liuchao
4 Xie, Jianqiang
4 Yu, Zhiyun
4 Zhang, Bei
4 Zhang, Zhimin
4 Zhao, Zhihui
4 Zhou, Xinchen
3 Abbaszadeh, Mostafa
3 Avazzadeh, Zakieh
3 Benkhaldoun, Fayssal
3 Bradji, Abdallah
3 Chen, Chuanjun
3 Cui, Jintao
3 Cui, Ming
3 Dai, Ying
3 Dehghan Takht Fooladi, Mehdi
3 Fan, Xin
3 Gao, Fuzheng
3 Gao, Xinghua
3 Guan, Xiaofei
3 Guan, Zhen
3 Hao, Xiaobin
3 He, Wenming
3 Huang, Chengming
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89 Computers & Mathematics with Applications
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39 Numerical Methods for Partial Differential Equations
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16 International Journal of Computer Mathematics
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10 Advances in Computational Mathematics
8 Applied Mathematics and Mechanics. (English Edition)
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7 Mathematical Problems in Engineering
7 Journal of Systems Science and Complexity
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7 Boundary Value Problems
7 AMM. Applied Mathematics and Mechanics. (English Edition)
6 Journal of Applied Mathematics
6 Advances in Difference Equations
5 Applicable Analysis
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5 Science China. Mathematics
4 Mathematics of Computation
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4 Discrete and Continuous Dynamical Systems. Series B
4 International Journal of Applied and Computational Mathematics
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3 Computers and Fluids
3 Journal of Computational Physics
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
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2 Wuhan University Journal of Natural Sciences (WUJNS)
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2 Results in Applied Mathematics
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1 Fractals
1 ETNA. Electronic Transactions on Numerical Analysis
1 Abstract and Applied Analysis
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
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1 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki
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1 Iranian Journal of Science and Technology. Transaction A: Science
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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