## He, Yinnian

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 Author ID: he.yinnian Published as: He, Yinnian; He, Yin-nian; He, Yin Nian; He, Yin-Nian; He, YinNian; He, Y. more...less Homepage: http://gr.xjtu.edu.cn/web/heyn External Links: ORCID · dblp
 Documents Indexed: 303 Publications since 1989 Co-Authors: 123 Co-Authors with 272 Joint Publications 4,492 Co-Co-Authors
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### Co-Authors

 21 single-authored 49 Feng, Xinlong 32 Li, Kaitai 22 Li, Jian 20 Huang, Pengzhan 12 Wei, LeiLei 12 Zhang, Yan 11 Ge, Zhihao 11 Shang, Yueqiang 10 Wang, Kun 9 Feng, Minfu 9 Wen, Juan 8 Dong, Xiaojing 8 Zhang, Guodong 7 Chen, Hongbin 7 Chen, Zhangxin 7 Si, Zhiyong 7 Tang, Bo 7 Zhang, Xindong 6 Lin, Yanping 6 Liu, Zhiyong 6 Sun, Weiwei 6 Xu, Hui 6 Zhai, Shuying 6 Zhang, Yarong 5 Su, Jian 5 Wen, Jing 5 Yang, Jinjin 4 Cao, Luling 4 Hou, Yanren 4 Liu, Kam-Moon 4 Mattheij, Robert M. M. 4 Mei, Liquan 4 Song, Lingyu 3 Guo, Yingwen 3 He, Guoliang 3 Huang, Aixiang 3 Lu, Xiaoli 3 Wang, Aiwen 3 Wang, Shaoli 3 Wu, Jianhua 3 Zhao, Chunshan 3 Zou, Jun 2 Chen, Gang 2 Feng, Xiaobing 2 He, Xiaoming 2 Hu, Qingjie 2 Huang, Qinghuai 2 Li, Dongsheng 2 Li, Jingwei 2 Li, Ting 2 Liu, Demin 2 Liu, Yingzhi 2 Liu, Yunxian 2 Liu, Zhixing 2 Meng, Jixiang 2 Miao, Huanling 2 Qian, Lingzhi 2 Sun, Haiyan 2 Tait, Robert J. 2 Xiao, Xufeng 2 Xu, Jinchao 2 Zhou, Aihui 1 Adil, Nazakat 1 Al Mahbub, Md. Abdullah 1 Bai, Yanhong 1 Cannon, John Rozier 1 Chan, Kit Hung 1 Chen, Long 1 Cui, Juan 1 Dal Negro, Luca 1 Ewing, Richard Edward 1 Forestiere, Carlo 1 Gao, Fuhai 1 Gao, Shihao 1 Gao, Zhiming 1 Guan, Zhen 1 He, Yaling 1 He, Yanan 1 Huang, Weizhang 1 Huo, Mihui 1 Kumar, Sunil 1 Li, Kaitia 1 Li, Rongfei 1 Li, Xuejian 1 Li, Yi 1 Liao, Cheng 1 Liu, Chun 1 Liu, Juan 1 Luo, Zhendong 1 Mao, Shipeng 1 Mu, Lin 1 Putter, Hein 1 Qiao, Yuanyang 1 Qin, Yanmei 1 Ren, Chunfeng 1 Ren, Ruiting 1 Ren, Zongxiu 1 Shao, Long 1 Shen, Samuel Shan-Pu 1 Shen, Semuel S. P. ...and 28 more Co-Authors
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### Serials

 23 Numerical Methods for Partial Differential Equations 17 Computers & Mathematics with Applications 15 Journal of Scientific Computing 14 Journal of Computational and Applied Mathematics 13 Applied Mathematics and Computation 11 Computer Methods in Applied Mechanics and Engineering 11 Journal of Mathematical Analysis and Applications 11 Discrete and Continuous Dynamical Systems. Series B 11 International Journal of Numerical Analysis and Modeling 10 Journal of Computational Mathematics 8 Applied Numerical Mathematics 7 Numerische Mathematik 7 Applied Mathematics and Mechanics. (English Edition) 7 Applied Mathematical Modelling 7 Advances in Applied Mathematics and Mechanics 5 Applied Mathematics Letters 5 International Journal of Computer Mathematics 5 International Journal of Computational Methods 4 Computers and Fluids 4 Mathematical Methods in the Applied Sciences 4 Mathematics of Computation 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Journal of Engineering Mathematics (Xi’an) 4 Advances in Computational Mathematics 3 Journal of Computational Physics 3 Computing 3 SIAM Journal on Numerical Analysis 3 Mathematica Numerica Sinica 3 International Journal of Numerical Methods for Heat & Fluid Flow 3 Engineering Analysis with Boundary Elements 3 Discrete and Continuous Dynamical Systems 3 Mathematical Problems in Engineering 3 Nonlinear Analysis. Real World Applications 3 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 2 IMA Journal of Numerical Analysis 2 Physics Letters. A 2 Acta Mathematica Sinica 2 Journal of Xi’an Jiaotong University 2 Acta Mathematicae Applicatae Sinica. English Series 2 Acta Mathematica Scientia 2 Numerical Mathematics 2 Applied Mathematics. Series B (English Edition) 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Communications on Pure and Applied Analysis 2 Frontiers of Mathematics in China 2 Science China. Mathematics 1 Applicable Analysis 1 Computer Physics Communications 1 International Journal of Engineering Science 1 International Journal for Numerical Methods in Fluids 1 Journal of Engineering Mathematics 1 Calcolo 1 International Journal for Numerical Methods in Engineering 1 Mathematics and Computers in Simulation 1 Numerical Mathematics 1 Journal of Systems Science and Mathematical Sciences 1 Mathematical and Computer Modelling 1 Systems Science and Mathematical Sciences 1 Numerical Algorithms 1 Computational Statistics and Data Analysis 1 SIAM Journal on Scientific Computing 1 Topological Methods in Nonlinear Analysis 1 Applied Mathematics. Series A (Chinese Edition) 1 ETNA. Electronic Transactions on Numerical Analysis 1 Advances in Differential Equations 1 International Journal of Computational Fluid Dynamics 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Journal of Computational Analysis and Applications 1 Acta Mathematica Sinica. English Series 1 Mathematical Modelling and Analysis 1 Computational Methods in Applied Mathematics 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Journal of Numerical Mathematics 1 International Journal of Information & Systems Sciences 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Communications in Computational Physics 1 Advances in Numerical Analysis 1 Chinese Journal of Engineering Mathematics 1 Scientia Sinica. Mathematica 1 Journal of Applied Mathematics & Informatics 1 International Journal of Numerical Analysis and Modeling. Series B 1 East Asian Journal on Applied Mathematics 1 AMM. Applied Mathematics and Mechanics. (English Edition)
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### Fields

 255 Numerical analysis (65-XX) 199 Fluid mechanics (76-XX) 145 Partial differential equations (35-XX) 9 Ordinary differential equations (34-XX) 9 Biology and other natural sciences (92-XX) 6 Mechanics of deformable solids (74-XX) 6 Statistical mechanics, structure of matter (82-XX) 6 Geophysics (86-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Optics, electromagnetic theory (78-XX) 4 Integral equations (45-XX) 4 Operator theory (47-XX) 3 Real functions (26-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Astronomy and astrophysics (85-XX)

### Citations contained in zbMATH Open

241 Publications have been cited 3,312 times in 1,351 Documents Cited by Year
Two-level method based on finite element and Crank-Nicolson extrapolation for the time-dependent Navier-Stokes equations. Zbl 1130.76365
He, Yinnian
2003
A stabilized finite element method based on two local Gauss integrations for the Stokes equations. Zbl 1132.35436
Li, Jian; He, Yinnian
2008
On large time-stepping methods for the Cahn-Hilliard equation. Zbl 1118.65109
He, Yinnian; Liu, Yunxian; Tang, Tao
2007
Convergence of three iterative methods based on the finite element discretization for the stationary Navier-Stokes equations. Zbl 1227.76031
He, Yinnian; Li, Jian
2009
Stability and convergence of the Crank-Nicolson/Adams-Bashforth scheme for the time-dependent Navier-Stokes equations. Zbl 1145.35318
He, Yinnian; Sun, Weiwei
2007
A stabilized finite element method based on local polynomial pressure projection for the stationary Navier-Stokes equations. Zbl 1155.35406
He, Yinnian; Li, Jian
2008
A new stabilized finite element method for the transient Navier-Stokes equations. Zbl 1169.76392
Li, Jian; He, Yinnian; Chen, Zhangxin
2007
Two-level stabilized finite element methods for the steady Navier-Stokes problem. Zbl 1099.65111
He, Yinnian; Li, Kaitai
2005
The Euler implicit/explicit scheme for the 2D time-dependent Navier-Stokes equations with smooth or non-smooth initial data. Zbl 1198.65222
He, Yinnian
2008
A simplified two-level method for the steady Navier-Stokes equations. Zbl 1194.76120
He, Yinnian; Wang, Aiwen
2008
Unconditional convergence of the Euler semi-implicit scheme for the three-dimensional incompressible MHD equations. Zbl 1312.76061
He, Yinnian
2015
Local and parallel finite element algorithms for the Stokes problem. Zbl 1145.65097
He, Yinnian; Xu, Jinchao; Zhou, Aihui; Li, Jian
2008
Local and parallel finite element algorithms for the Navier-Stokes problem. Zbl 1093.76035
He, Yinnian; Xu, Jinchao; Zhou, Aihui
2006
A multilevel finite element method in space-time for the Navier-Stokes problem. Zbl 1081.76044
He, Yinnian; Liu, Kam-Moon
2005
Analysis of finite element approximations of a phase field model for two-phase fluids. Zbl 1111.76028
Feng, Xiaobing; He, Yinnian; Liu, Chun
2007
Stabilized finite element method based on the Crank-Nicolson extrapolation scheme for the time-dependent Navier-Stokes equations. Zbl 1129.35004
He, Yinnian; Sun, Weiwei
2007
Convergence analysis of three finite element iterative methods for the 2D/3D stationary incompressible magnetohydrodynamics. Zbl 1423.76226
Dong, Xiaojing; He, Yinnian; Zhang, Yan
2014
Analysis of a fully discrete local discontinuous Galerkin method for time-fractional fourth-order problems. Zbl 1427.65267
Wei, Leilei; He, Yinnian
2014
Optimal error estimate of the penalty finite element method for the time-dependent Navier-Stokes equations. Zbl 1065.35025
He, Yinnian
2005
Stabilized finite element method for the stationary Navier-Stokes equations. Zbl 1069.76031
He, Yinnian; Wang, Aiwen; Mei, Liquan
2005
Newton iterative parallel finite element algorithm for the steady Navier-Stokes equations. Zbl 1203.76003
He, Yinnian; Mei, Liquan; Shang, Yueqiang; Cui, Juan
2010
An unconditionally stable compact ADI method for three-dimensional time-fractional convection-diffusion equation. Zbl 1349.65356
Zhai, Shuying; Feng, Xinlong; He, Yinnian
2014
A fully discrete stabilized finite-element method for the time-dependent Navier-Stokes problem. Zbl 1135.76331
He, Yinnian
2003
Some iterative finite element methods for steady Navier-Stokes equations with different viscosities. Zbl 1291.76211
Xu, Hui; He, Yinnian
2013
Parallel iterative finite element algorithms based on full domain partition for the stationary Navier-Stokes equations. Zbl 1425.76147
Shang, Yueqiang; He, Yinnian
2010
Convergence and stability of finite element nonlinear Galerkin method for the Navier-Stokes equations. Zbl 0903.76052
He, Yinnian; Li, Kaitai
1998
Homotopy analysis method for higher-order fractional integro-differential equations. Zbl 1232.65120
Zhang, Xindong; Tang, Bo; He, Yinnian
2011
The local discontinuous Galerkin finite element method for Burger’s equation. Zbl 1235.65115
Shao, Long; Feng, Xinlong; He, Yinnian
2011
A generalized fractional sub-equation method for fractional differential equations with variable coefficients. Zbl 1266.34014
Tang, Bo; He, Yinnian; Wei, Leilei; Zhang, Xindong
2012
Two-level Newton iterative method for the 2D/3D steady Navier-Stokes equations. Zbl 1390.65144
He, Yinnian; Zhang, Yan; Shang, Yueqiang; Xu, Hui
2012
Euler implicit/explicit iterative scheme for the stationary Navier-Stokes equations. Zbl 1331.76069
He, Yinnian
2013
Two-level Newton iterative method for the 2D/3D stationary incompressible magnetohydrodynamics. Zbl 06456931
Dong, Xiaojing; He, Yinnian
2015
A parallel Oseen-linearized algorithm for the stationary Navier-Stokes equations. Zbl 1243.76022
Shang, Yueqiang; He, Yinnian
2012
Stability and convergence of the spectral Galerkin method for the Cahn-Hilliard equation. Zbl 1157.65053
He, Yinnian; Liu, Yunxian
2008
Multi-level spectral Galerkin method for the Navier-Stokes problem. I: Spatial discretization. Zbl 1096.65099
He, Yinnian; Liu, Kam-Moon; Sun, Weiwei
2005
Analysis of a local discontinuous Galerkin method for time-fractional advection-diffusion equations. Zbl 1357.65181
Wei, Leilei; Zhang, Xindong; He, Yinnian
2013
Assessment of subgrid-scale models for the incompressible Navier-Stokes equations. Zbl 1273.76082
Zhang, Yan; He, Yinnian
2010
A multi-level stabilized finite element method for the stationary Navier-Stokes equations. Zbl 1175.76092
Li, Jian; He, Yinnian; Xu, Hui
2007
Diffusion effect and stability analysis of a predator-prey system described by a delayed reaction-diffusion equations. Zbl 1132.35087
Ge, Zhihao; He, Yinnian
2008
Two-level penalized finite element methods for the stationary Navier-Stokes equations. Zbl 1099.65110
He, Yinnian; Li, Jian; Yang, Xiaozhong
2006
Stability and error analysis for a spectral Galerkin method for the Navier-Stokes equations with $$H^2$$ or $$H^1$$ initial data. Zbl 1076.76059
He, Yinnian
2005
Stabilized finite element method for the non-stationary Navier-Stokes problem. Zbl 1089.76033
He, Yinnian; Lin, Yanping; Sun, Weiwei
2006
A two-level finite element Galerkin method for the nonstationary Navier-Stokes equations. I: Spatial discretization. Zbl 1137.76412
He, Yinnian
2004
A two-level finite element Galerkin method for the nonstationary Navier-Stokes equations. II: Time discretization. Zbl 1137.76413
He, Yinnian; Miao, Huanling; Ren, Chunfeng
2004
Multi-level spectral Galerkin method for the Navier-Stokes equations. II: Time discretization. Zbl 1331.65146
He, Yinnian; Liu, Kam-Moon
2006
Stabilized multiscale finite element method for the stationary Navier-Stokes equations. Zbl 1161.76027
Ge, Zhihao; Feng, Minfu; He, Yinnian
2009
Performance of several stabilized finite element methods for the Stokes equations based on the lowest equal-order pairs. Zbl 1176.65136
Li, Jian; He, Yinnian; Chen, Zhangxin
2009
A stabilized multi-level method for non-singular finite volume solutions of the stationary 3D Navier-Stokes equations. Zbl 1366.76062
Li, Jian; Chen, Zhangxin; He, Yinnian
2012
Numerical simulation of the three dimensional Allen-Cahn equation by the high-order compact ADI method. Zbl 1360.35100
Zhai, Shuying; Feng, Xinlong; He, Yinnian
2014
A divergence free weak virtual element method for the Stokes-Darcy problem on general meshes. Zbl 1440.76088
Wang, Gang; Wang, Feng; Chen, Long; He, Yinnian
2019
A penalty finite element method based on the Euler implicit/explicit scheme for the time-dependent Navier-Stokes equations. Zbl 1277.76037
He, Yinnian; Li, Jian
2010
A modified nonlinear Galerkin method for the viscoelastic fluid motion equations. Zbl 1210.76111
Cannon, John R.; Ewing, Richard E.; He, Yinnian; Lin, Yanping
1999
High order iterative methods without derivatives for solving nonlinear equations. Zbl 1119.65036
Feng, Xinlong; He, Yinnian
2007
Streamline diffusion finite element method for stationary incompressible magnetohydrodynamics. Zbl 1446.76188
Zhang, Guo-Dong; He, Yinnian; Zhang, Yan
2014
Finite element approximation for the viscoelastic fluid motion problem. Zbl 1014.76041
He, Yinnian; Lin, Yanping; Shen, Samuel S. P.; Sun, Weiwei; Tait, Robert
2003
A defect-correction method for unsteady conduction-convection problems. I: Spatial discretization. Zbl 1227.76040
Si, Zhiyong; He, Yinnian; Wang, Kun
2011
Two-level methods based on three corrections for the 2D/3D steady Navier-Stokes equations. Zbl 1276.76041
He, Yinnian; Li, Jian
2011
A comparison of three kinds of local and parallel finite element algorithms based on two-grid discretizations for the stationary Navier-Stokes equations. Zbl 1245.76056
Shang, Yueqiang; He, Yinnian; Luo, Zhendong
2011
Analysis of coupling iterations based on the finite element method for stationary magnetohydrodynamics on a general domain. Zbl 1362.76035
Zhang, Guo-Dong; He, Yinnian; Yang, Di
2014
Fully discrete finite element method for the viscoelastic fluid motion equations. Zbl 1197.35016
Wang, Kun; He, Yinnian; Shang, Yueqiang
2010
Discontinuous finite volume methods for the stationary Stokes-Darcy problem. Zbl 1352.76078
Wang, Gang; He, Yinnian; Li, Rui
2016
A diffuse interface model and semi-implicit energy stable finite element method for two-phase magnetohydrodynamic flows. Zbl 1441.76143
Yang, Jinjin; Mao, Shipeng; He, Xiaoming; Yang, Xiaofeng; He, Yinnian
2019
On the convergence of viscoelastic fluid flows to a steady state. Zbl 1049.76014
He, Yinnian; Lin, Yanping; Shen, Semuel S. P.; Tait, Robert
2002
Nonlinear Galerkin method and two-step method for the Navier-Stokes equations. Zbl 0852.76042
He, Yinnian; Li, Kaitai
1996
A defect-correction method for unsteady conduction-convection problems. II: Time discretization. Zbl 1427.76146
Si, Zhiyong; He, Yinnian; Zhang, Tong
2012
A family of fourth-order and sixth-order compact difference schemes for the three-dimensional Poisson equation. Zbl 1259.65160
Zhai, Shuying; Feng, Xinlong; He, Yinnian
2013
Numerical algorithm based on an implicit fully discrete local discontinuous Galerkin method for the time-fractional KdV-Burgers-Kuramoto equation. Zbl 1263.65098
Wei, Leilei; He, Yinnian; Yildirim, Ahmet; Kumar, Sunil
2013
A pressure-Poisson stabilized finite element method for the non-stationary Stokes equations to circumvent the inf-sup condition. Zbl 1119.65092
Li, Jian; Mei, Liquan; He, Yinnian
2006
$$H^2$$-stability of the first order fully discrete schemes for the time-dependent Navier-Stokes equations. Zbl 1334.76078
He, Yinnian; Huang, Pengzhan; Feng, Xinlong
2015
A defect-correction mixed finite element method for stationary conduction-convection problems. Zbl 1204.76021
Si, Zhiyong; He, Yinnian
2011
A penalty finite volume method for the transient Navier-Stokes equations. Zbl 1148.76038
He, Guoliang; He, Yinnian; Chen, Zhangxin
2008
Stability and convergence of iterative methods related to viscosities for the 2D/3D steady Navier-Stokes equations. Zbl 1305.76057
He, Yinnian
2015
Two-level defect-correction Oseen iterative stabilized finite element methods for the stationary Navier-Stokes equations. Zbl 1351.76060
Huang, Pengzhan; Feng, Xinlong; He, Yinnian
2013
Unconditional convergence of the Euler semi-implicit scheme for the 3D incompressible MHD equations. Zbl 1356.76451
Zhang, Guo-Dong; He, Yinnian
2015
Asymptotic behavior and time discretization analysis for the non-stationary Navier-Stokes problem. Zbl 1140.76322
He, Yinnian; Li, Kaitai
2004
Convergence of some finite element iterative methods related to different Reynolds numbers for the 2D/3D stationary incompressible magnetohydrodynamics. Zbl 1338.35328
Dong, XiaoJing; He, YinNian
2016
On error estimates of the penalty method for the viscoelastic flow problem. I: Time discretization. Zbl 1201.76196
Wang, Kun; He, Yinnian; Feng, Xinlong
2010
Numerical implementation of the Crank-Nicolson/Adams-Bashforth scheme for the time-dependent Navier-Stokes equations. Zbl 1423.76096
He, Yinnian; Li, Jian
2010
A new method to deduce high-order compact difference schemes for two-dimensional Poisson equation. Zbl 1410.65420
Zhai, Shuying; Feng, Xinlong; He, Yinnian
2014
Numerical investigations on several stabilized finite element methods for the Stokes eigenvalue problem. Zbl 1235.74286
Huang, Pengzhan; He, Yinnian; Feng, Xinlong
2011
Traveling wavefronts for a two-species predator-prey system with diffusion terms and stage structure. Zbl 1396.35034
Ge, Zhihao; He, Yinnian
2009
A coupled Newton iterative mixed finite element method for stationary conduction-convection problems. Zbl 1206.65249
Si, Zhiyong; He, Yinnian
2010
The finite volume method based on stabilized finite element for the stationary Navier-Stokes problem. Zbl 1117.35061
He, Guoliang; He, Yinnian
2007
Decoupled schemes for unsteady MHD equations. I: Time discretization. Zbl 1397.76081
Zhang, Guo-Dong; He, Yinnian
2017
On uniform in time $$H^2$$-regularity of the solution for the 2D Cahn-Hilliard equation. Zbl 1350.35051
He, Yinnian; Feng, Xinlong
2016
A priori estimates and optimal finite element approximation of the MHD flow in smooth domains. Zbl 1395.65143
He, Yinnian; Zou, Jun
2018
A fully discrete local discontinuous Galerkin method for one-dimensional time-fractional Fisher’s equation. Zbl 1304.35713
Zhang, Xindong; He, Yinnian; Wei, Leilei; Tang, Bo; Wang, Shaoli
2014
A two-level finite element method for the stationary Navier-Stokes equations based on a stabilized local projection. Zbl 1428.35318
Zhang, Yan; He, Yinnian
2011
The Crank-Nicolson/Adams-Bashforth scheme for the time-dependent Navier-Stokes equations with nonsmooth initial data. Zbl 1431.76089
He, Yinnian
2012
Two-level stabilized finite element method for Stokes eigenvalue problem. Zbl 1266.65192
Huang, Peng-zhan; He, Yin-nian; Feng, Xin-long
2012
A stabilised characteristic finite element method for transient Navier-Stokes equations. Zbl 1271.76177
Zhang, Tong; Si, Zhiyong; He, Yinnian
2010
Analysis of the fractional Kawahara equation using an implicit fully discrete local discontinuous Galerkin method. Zbl 1274.65277
Wei, Leilei; He, Yinnian; Tang, Bo
2013
Two-level Newton’s method for nonlinear elliptic PDEs. Zbl 1282.65155
He, Yinnian; Zhang, Yan; Xu, Hui
2013
Two-level coupled and decoupled parallel correction methods for stationary incompressible magnetohydrodynamics. Zbl 1328.65250
Zhang, Guo-Dong; Zhang, Yan; He, Yinnian
2015
Numerical analysis of a modified finite element nonlinear Galerkin method. Zbl 1059.65088
He, Yinnian; Miao, Huanling; Mattheij, R. M. M.; Chen, Zhangxin
2004
Local and parallel finite element algorithm based on the partition of unity method for the incompressible MHD flow. Zbl 1398.35146
Dong, Xiaojing; He, Yinnian; Wei, Hongbo; Zhang, Yuhong
2018
Parallel finite element algorithm based on full domain partition for stationary Stokes equations. Zbl 1378.76054
Shang, Yueqiang; He, Yinnian
2010
Traveling wavefronts for a two-species ratio-dependent predator-prey system with diffusion terms and stage structure. Zbl 1162.34305
Ge, Zhihao; He, Yinnian; Song, Lingyu
2009
On error estimates of the pressure-correction projection methods for the time-dependent Navier-Stokes equations. Zbl 1432.35168
Sun, Haiyan; He, Yinnian; Feng, Xinlong
2011
$$P _{1}$$-nonconforming quadrilateral finite volume methods for the semilinear elliptic equations. Zbl 1255.65194
Feng, Xinlong; Li, Rongfei; He, Yinnian; Liu, Demin
2012
Difference finite element method for the 3D steady Stokes equations. Zbl 1482.76078
Feng, Xinlong; Lu, Xiaoli; He, Yinnian
2022
A novel convergence analysis of Robin-Robin domain decomposition method for Stokes-Darcy system with Beavers-Joseph interface condition. Zbl 1476.76050
Liu, Yingzhi; He, Yinnian; Li, Xuejian; He, Xiaoming
2021
A pressure-robust virtual element method for the Stokes problem. Zbl 07415033
Wang, Gang; Mu, Lin; Wang, Ying; He, Yinnian
2021
Decoupled modified characteristic FEMs for fully evolutionary Navier-Stokes-Darcy model with the Beavers-Joseph interface condition. Zbl 1452.65227
Cao, Luling; He, Yinnian; Li, Jian; Yang, Di
2021
Decoupled modified characteristic finite element method with different subdomain time steps for nonstationary dual-porosity-Navier-Stokes model. Zbl 1468.76038
Cao, Luling; He, Yinnian; Li, Jian; Mahbub, Md. Abdullah Al
2021
Stability and error estimate of the operator splitting method for the phase field crystal equation. Zbl 1456.65136
Zhai, Shuying; Weng, Zhifeng; Feng, Xinlong; He, Yinnian
2021
Fully discrete finite element approximation of the 2D/3D unsteady incompressible magnetohydrodynamic-Voigt regularization flows. Zbl 1465.65102
Lu, Xiaoli; Huang, Pengzhan; He, Yinnian
2021
A weak Galerkin finite element method based on $$\boldsymbol{H}(\operatorname{div})$$ virtual element for Darcy flow on polytopal meshes. Zbl 1478.65132
Wang, Gang; Wang, Ying; He, Yinnian
2021
A meshless local radial point collocation method for simulating the time-fractional convection-diffusion equations on surfaces. Zbl 07446905
Qiao, Yuanyang; Feng, Xinlong; He, Yinnian
2021
A fully discrete, decoupled scheme with different time steps for approximating nematic liquid crystal flow. Zbl 07479362
Li, Ting; Huang, Pengzhan; He, Yinnian
2021
A strongly conservative finite element method for the coupled Stokes-Biot model. Zbl 1447.65094
Wen, Jing; He, Yinnian
2020
A decoupled finite element method with diferent time steps for the nonstationary Darcy-Brinkman problem. Zbl 1433.76088
Liao, Cheng; Huang, Pengzhan; He, Yinnian
2020
Discontinuous Galerkin method for the nonlinear Biot’s model. Zbl 1431.74108
Wen, Jing; Su, Jian; He, Yinnian; Chen, Hongbin
2020
A posteriori error estimates for the virtual element method for the Stokes problem. Zbl 1448.76122
Wang, Gang; Wang, Ying; He, Yinnian
2020
The property of the branch of nonsingular finite element/finite volume solutions to the stationary Navier-Stokes equations and its application. Zbl 1465.65141
Li, Jian; He, Yinnian
2020
Discontinuous Galerkin method for the fully dynamic Biot’s model. Zbl 1464.65188
Wen, Jing; He, Yinnian; Chen, Hongbin
2020
A lowest equal-order stabilized mixed finite element method based on multiphysics approach for a poroelasticity model. Zbl 1433.76084
Ge, Zhihao; He, Yanan; He, Yinnian
2020
A parallel finite element method for incompressible magnetohydrodynamics equations. Zbl 1443.76150
Dong, Xiaojing; He, Yinnian
2020
Two-level Schwarz methods for a discontinuous Galerkin approximation of elliptic problems with jump coefficients. Zbl 1473.65341
Liu, Yingzhi; He, Yinnian
2020
Crank-Nicolson leap-frog time stepping decoupled scheme for the fluid-fluid interaction problems. Zbl 1447.65088
Qian, Lingzhi; Feng, Xinlong; He, Yinnian
2020
An Uzawa-type algorithm for the coupled Stokes equations. Zbl 1457.76057
Huang, Pengzhan; He, Yinnian
2020
Weak Galerkin method for the Helmholtz equation with DtN boundary condition. Zbl 1471.65197
Hu, Qingjie; He, Yinnian; Wang, Kun
2020
A divergence free weak virtual element method for the Stokes-Darcy problem on general meshes. Zbl 1440.76088
Wang, Gang; Wang, Feng; Chen, Long; He, Yinnian
2019
A diffuse interface model and semi-implicit energy stable finite element method for two-phase magnetohydrodynamic flows. Zbl 1441.76143
Yang, Jinjin; Mao, Shipeng; He, Xiaoming; Yang, Xiaofeng; He, Yinnian
2019
RBF-based meshless local Petrov Galerkin method for the multi-dimensional convection-diffusion-reaction equation. Zbl 1404.65176
Li, Jingwei; Feng, Xinlong; He, Yinnian
2019
Numerical simulations for the chemotaxis models on surfaces via a novel characteristic finite element method. Zbl 1442.92019
Xiao, Xufeng; Feng, Xinlong; He, Yinnian
2019
A priori estimates and optimal finite element approximation of the MHD flow in smooth domains. Zbl 1395.65143
He, Yinnian; Zou, Jun
2018
Local and parallel finite element algorithm based on the partition of unity method for the incompressible MHD flow. Zbl 1398.35146
Dong, Xiaojing; He, Yinnian; Wei, Hongbo; Zhang, Yuhong
2018
Optimal convergence analysis of Crank-Nicolson extrapolation scheme for the three-dimensional incompressible magnetohydrodynamics. Zbl 1442.65256
Dong, Xiaojing; He, Yinnian
2018
On an efficient second order backward difference Newton scheme for MHD system. Zbl 1398.76162
Yang, Jinjin; He, Yinnian; Zhang, Guodong
2018
Stability and error analysis for the first-order Euler implicit/explicit scheme for the 3D MHD equations. Zbl 1404.76167
Yang, Jinjin; He, Yinnian
2018
A new defect-correction method for the stationary Navier-Stokes equations based on pressure projection. Zbl 1383.35143
Wen, Juan; He, Yinnian
2018
Unconditional convergence and optimal $$L^2$$ error estimates of the Crank-Nicolson extrapolation FEM for the nonstationary Navier-Stokes equations. Zbl 1416.76108
Guo, Yingwen; He, Yinnian
2018
Weak Galerkin finite element methods for the simulation of single-phase flow in fractured porous media. Zbl 1404.65281
Wang, Gang; He, Yinnian; Yang, Jinjin
2018
Uncertainty quantification guided robust design for nanoparticles’ morphology. Zbl 1440.82014
He, Y.; Razi, M.; Forestiere, C.; Dal Negro, L.; Kirby, R. M.
2018
Fully discrete stabilized multiphysics finite element method for the polymer gel model. Zbl 1419.82077
Ge, Zhihao; Guan, Zhen; He, Yinnian
2018
Decoupled schemes for unsteady MHD equations. I: Time discretization. Zbl 1397.76081
Zhang, Guo-Dong; He, Yinnian
2017
Second order fully discrete defect-correction scheme for nonstationary conduction-convection problem at high Reynolds number. Zbl 1370.65056
Su, Haiyan; Feng, Xinlong; He, Yinnian
2017
The almost unconditional convergence of the Euler implicit/explicit scheme for the three dimensional nonstationary Navier-Stokes equations. Zbl 1368.35158
He, Yinnian; Su, Jian
2017
Boundary element method for a free boundary problem modeling three dimensional tumor growth. Zbl 1379.92025
Zhang, Yarong; He, Yinnian; Chen, Hongbin
2017
The Oseen type finite element iterative method for the stationary incompressible magnetohydrodynamics. Zbl 07407153
Dong, Xiaojing; He, Yinnian
2017
Discontinuous finite volume methods for the stationary Stokes-Darcy problem. Zbl 1352.76078
Wang, Gang; He, Yinnian; Li, Rui
2016
Convergence of some finite element iterative methods related to different Reynolds numbers for the 2D/3D stationary incompressible magnetohydrodynamics. Zbl 1338.35328
Dong, XiaoJing; He, YinNian
2016
On uniform in time $$H^2$$-regularity of the solution for the 2D Cahn-Hilliard equation. Zbl 1350.35051
He, Yinnian; Feng, Xinlong
2016
Uniform $$H^{2}$$-regularity of solution for the 2D Navier-Stokes/Cahn-Hilliard phase field model. Zbl 1338.35085
He, Yinnian; Feng, Xinlong
2016
First-order decoupled finite element method of the three-dimensional primitive equations of the ocean. Zbl 1334.76079
He, Yinnian; Zhang, Yan; Xu, Hui; Chen, Zhangxin
2016
A posteriori error analysis for finite element solution of one-dimensional elliptic differential equations using equidistributing meshes. Zbl 1333.65090
He, Yinnian; Huang, Weizhang
2016
Convergence of the Crank-Nicolson/Newton scheme for nonlinear parabolic problem. Zbl 1363.65146
Feng, Xinlong; He, Yinnian
2016
Second order time-space iterative method for the stationary Navier-Stokes equations. Zbl 1381.76177
Huang, Pengzhan; He, Yinnian; Feng, Xinlong
2016
Numerical investigations on several stabilized finite element methods for the Navier-Stokes problem. Zbl 1363.76045
Wen, Juan; He, Yinnian; Huang, Pengzhan; Li, Min
2016
A new parallel finite element algorithm based on two-grid discretization for the generalized Stokes problem. Zbl 1401.76090
Shang, Yue Qiang; He, Yin Nian; Feng, Xin Long
2016
Unconditional convergence of the Euler semi-implicit scheme for the three-dimensional incompressible MHD equations. Zbl 1312.76061
He, Yinnian
2015
Two-level Newton iterative method for the 2D/3D stationary incompressible magnetohydrodynamics. Zbl 06456931
Dong, Xiaojing; He, Yinnian
2015
$$H^2$$-stability of the first order fully discrete schemes for the time-dependent Navier-Stokes equations. Zbl 1334.76078
He, Yinnian; Huang, Pengzhan; Feng, Xinlong
2015
Stability and convergence of iterative methods related to viscosities for the 2D/3D steady Navier-Stokes equations. Zbl 1305.76057
He, Yinnian
2015
Unconditional convergence of the Euler semi-implicit scheme for the 3D incompressible MHD equations. Zbl 1356.76451
Zhang, Guo-Dong; He, Yinnian
2015
Two-level coupled and decoupled parallel correction methods for stationary incompressible magnetohydrodynamics. Zbl 1328.65250
Zhang, Guo-Dong; Zhang, Yan; He, Yinnian
2015
An efficient two-step algorithm for the incompressible flow problem. Zbl 1334.76080
Huang, Pengzhan; Feng, Xinlong; He, Yinnian
2015
Decoupled schemes for unsteady MHD equations. II: Finite element spatial discretization and numerical implementation. Zbl 1443.65232
Zhang, Guo-Dong; He, Yinnian
2015
Modified characteristics mixed defect-correction finite element method for the time-dependent Navier-Stokes problems. Zbl 1446.76096
Si, Zhiyong; He, Yinnian; Wang, Yunxia
2015
On two-level Oseen iterative methods for the 2D/3D steady Navier-Stokes equations. Zbl 1390.76383
Zhang, Yan; Xu, Hui; He, Yinnian
2015
Second order decoupled implicit/explicit method of the primitive equations of the ocean. I: Time discretization. Zbl 1334.86002
He, Yinnian
2015
Steady-state solutions and stability for a cubic autocatalysis model. Zbl 1370.37154
Wei, Mei-hua; Wu, Jianhua; He, Yinnian
2015
Fully discrete finite element method based on second-order Crank-Nicolson/Adams-Bashforth scheme for the equations of motion of Oldroyd fluids of order one. Zbl 1381.76171
He, Yinnian; Guo, Yingwen
2015
Analysis of an implicit fully discrete local discontinuous Galerkin method for the time-fractional KdV equation. Zbl 07402792
Wei, Leilei; He, Yinnian; Zhang, Xindong
2015
Convergence analysis of three finite element iterative methods for the 2D/3D stationary incompressible magnetohydrodynamics. Zbl 1423.76226
Dong, Xiaojing; He, Yinnian; Zhang, Yan
2014
Analysis of a fully discrete local discontinuous Galerkin method for time-fractional fourth-order problems. Zbl 1427.65267
Wei, Leilei; He, Yinnian
2014
An unconditionally stable compact ADI method for three-dimensional time-fractional convection-diffusion equation. Zbl 1349.65356
Zhai, Shuying; Feng, Xinlong; He, Yinnian
2014
Numerical simulation of the three dimensional Allen-Cahn equation by the high-order compact ADI method. Zbl 1360.35100
Zhai, Shuying; Feng, Xinlong; He, Yinnian
2014
Streamline diffusion finite element method for stationary incompressible magnetohydrodynamics. Zbl 1446.76188
Zhang, Guo-Dong; He, Yinnian; Zhang, Yan
2014
Analysis of coupling iterations based on the finite element method for stationary magnetohydrodynamics on a general domain. Zbl 1362.76035
Zhang, Guo-Dong; He, Yinnian; Yang, Di
2014
A new method to deduce high-order compact difference schemes for two-dimensional Poisson equation. Zbl 1410.65420
Zhai, Shuying; Feng, Xinlong; He, Yinnian
2014
A fully discrete local discontinuous Galerkin method for one-dimensional time-fractional Fisher’s equation. Zbl 1304.35713
Zhang, Xindong; He, Yinnian; Wei, Leilei; Tang, Bo; Wang, Shaoli
2014
First order decoupled method of the primitive equations of the ocean: I: Time discretization. Zbl 1308.65143
He, Yinnian
2014
$$H^1$$-super-convergence of center finite difference method based on $$P_1$$-element for the elliptic equation. Zbl 1429.65268
Feng, Xinlong; He, Yinnian
2014
A robust high-order compact method for the three dimensional nonlinear biharmonic equations. Zbl 1359.65236
Zhai, Shuying; Feng, Xinlong; He, Yinnian
2014
An iterative meshfree method for the elliptic Monge-Ampère equation in 2D. Zbl 1309.65142
Liu, Zhiyong; He, Yinnian
2014
A finite element analysis on fluid motion in librating triaxial ellipsoids. Zbl 1310.85001
Chan, Kit H.; He, Yinnian; Zhang, Keke; Zou, Jun
2014
Two-level hierarchical basis preconditioner for elliptic equations with jump coefficients. Zbl 1290.65116
Liu, Zhiyong; He, Yinnian
2014
Convergence analysis of a new multiscale finite element method for the stationary Navier-Stokes problem. Zbl 1381.76206
Wen, Juan; He, Yinnian
2014
Some iterative finite element methods for steady Navier-Stokes equations with different viscosities. Zbl 1291.76211
Xu, Hui; He, Yinnian
2013
Euler implicit/explicit iterative scheme for the stationary Navier-Stokes equations. Zbl 1331.76069
He, Yinnian
2013
Analysis of a local discontinuous Galerkin method for time-fractional advection-diffusion equations. Zbl 1357.65181
Wei, Leilei; Zhang, Xindong; He, Yinnian
2013
A family of fourth-order and sixth-order compact difference schemes for the three-dimensional Poisson equation. Zbl 1259.65160
Zhai, Shuying; Feng, Xinlong; He, Yinnian
2013
Numerical algorithm based on an implicit fully discrete local discontinuous Galerkin method for the time-fractional KdV-Burgers-Kuramoto equation. Zbl 1263.65098
Wei, Leilei; He, Yinnian; Yildirim, Ahmet; Kumar, Sunil
2013
Two-level defect-correction Oseen iterative stabilized finite element methods for the stationary Navier-Stokes equations. Zbl 1351.76060
Huang, Pengzhan; Feng, Xinlong; He, Yinnian
2013
Analysis of the fractional Kawahara equation using an implicit fully discrete local discontinuous Galerkin method. Zbl 1274.65277
Wei, Leilei; He, Yinnian; Tang, Bo
2013
Two-level Newton’s method for nonlinear elliptic PDEs. Zbl 1282.65155
He, Yinnian; Zhang, Yan; Xu, Hui
2013
Analysis for one-dimensional time-fractional Tricomi-type equations by LDG methods. Zbl 1269.65103
Zhang, Xindong; Liu, Juan; Wen, Juan; Tang, Bo; He, Yinnian
2013
$$H^{1}$$-stability and convergence of the FE, FV and FD methods for an elliptic equation. Zbl 1291.65342
He, Yinnian; Feng, Xinlong
2013
Finite difference streamline diffusion method using nonconforming space for incompressible time-dependent Navier-Stokes equations. Zbl 1277.76060
Chen, Gang; Feng, Min-fu; He, Yin-nian
2013
Solving the elliptic Monge-Ampère equation by Kansa’s method. Zbl 1352.65570
Liu, Zhiyong; He, Yinnian
2013
Unified analysis for stabilized methods of low-order mixed finite elements for stationary Navier-Stokes equations. Zbl 1286.65155
Chen, Gang; Feng, Min-fu; He, Yin-nian
2013
Multiscale enrichment of a finite volume element method for the stationary Navier-Stokes problem. Zbl 1291.35196
Wen, Juan; He, Yinnian; Yang, Jianhong
2013
Cascadic meshfree method for the elliptic Monge-Ampère equation. Zbl 1287.65116
Liu, Zhiyong; He, Yinnian
2013
Numerical analysis of the fractional seventh-order KdV equation using an implicit fully discrete local discontinuous Galerkin method. Zbl 1264.76085
Wei, Leilei; He, Yinnian; Zhang, Yan
2013
A quadratic equal-order stabilized finite element method for the conduction-convection equations. Zbl 1290.76064
Huang, Pengzhan; Feng, Xinlong; He, Yinnian
2013
Homotopy analysis method for space-time fractional differential equations. Zbl 1357.65228
Zhang, Xindong; Wei, Leilei; Tang, Bo; He, Yinnian
2013
A second order modified characteristics variational multiscale finite element method for time-dependent Navier-Stokes problems. Zbl 1289.76054
Si, Zhiyong; Su, Jian; He, Yinnian
2013
Convergence analysis of a new multiscale finite element method with the $$P_1/P_0$$ element for the incompressible flow. Zbl 1286.76096
Wen, Juan; Feng, Minfu; He, Yinnian
2013
...and 141 more Documents
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### Cited by 1,502 Authors

 153 He, Yinnian 84 Feng, Xinlong 55 Li, Jian 46 Huang, Pengzhan 43 Shang, Yueqiang 39 Hou, Yanren 34 Si, Zhiyong 33 Chen, Zhangxin 31 Shi, Dongyang 25 Wang, Kun 24 Mei, Liquan 24 Yang, Xiaofeng 22 An, Rong 22 Zheng, Haibiao 21 Wei, LeiLei 19 Li, Kaitai 18 He, Xiaoming 18 Zhang, Guodong 17 Feng, Minfu 17 Huang, Yunqing 17 Su, Haiyan 16 Li, Xiaoli 15 Dehghan Takht Fooladi, Mehdi 14 Du, Guangzhi 14 Luo, Zhendong 13 Li, Yuan 13 Weng, Zhifeng 13 Yang, Yidu 12 Chen, Yanping 12 Jia, Hongen 12 Yuan, Jinyun 11 Liu, Zhengguang 11 Qiu, Hailong 11 Wang, Yunxia 11 Zhai, Shuying 11 Zhao, Xin 11 Zuo, Liyun 10 Shi, Feng 10 Zhang, Xindong 10 Zhang, Yan 9 Dong, Xiaojing 9 Qian, Yanxia 9 Shen, Jie 9 Wang, Cheng 9 Zhao, Jianping 8 Chen, Chuanjun 8 Ge, Zhihao 8 Liu, Qingfang 8 Mao, Shipeng 8 Song, Lina 8 Wen, Juan 8 Zhang, Yunzhang 7 Abbaszadeh, Mostafa 7 Bekir, Ahmet 7 Gao, Yali 7 Kim, Junseok 7 Kumar, Sunil 7 Liu, Demin 7 Liu, Qian 7 Ma, Yichen 7 Pani, Amiya Kumar 7 Qiao, Zhonghua 7 Rui, Hongxing 7 Shan, Li 7 Zhang, Tie 7 Zhang, Yongchao 6 Al Mahbub, Md. Abdullah 6 Bi, Hai 6 Chen, Ching-Shyang 6 He, Guoliang 6 Li, Hong 6 Wang, Jilu 6 Wang, Junjun 6 Wang, Wansheng 6 Xu, Hui 5 An, Na 5 Bajpai, Saumya 5 Ding, Qianqian 5 Han, Jiayu 5 Huang, Chaobao 5 Hueso, José Luis 5 Jin, Jiaojiao 5 Jing, Feifei 5 Ju, Lili 5 Kaya, Songul 5 Li, Huanrong 5 Li, Minghao 5 Lin, Ji 5 Liu, Zijian 5 Lu, Xiaoli 5 Martínez, Eulalia 5 Qin, Jin 5 Rebholz, Leo G. 5 Su, Jian 5 Sun, Weiwei 5 Tang, Bo 5 Tang, Qili 5 Tang, Tao 5 Tao, Zhenzhen 5 Wazwaz, Abdul-Majid Abdul-Rahman ...and 1,402 more Authors
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### Cited in 166 Serials

 94 Computers & Mathematics with Applications 92 Applied Mathematics and Computation 81 Applied Numerical Mathematics 79 Journal of Scientific Computing 75 Journal of Computational and Applied Mathematics 52 Numerical Methods for Partial Differential Equations 45 Computer Methods in Applied Mechanics and Engineering 43 Journal of Computational Physics 39 Numerical Algorithms 35 International Journal of Computer Mathematics 31 Advances in Applied Mathematics and Mechanics 30 Journal of Mathematical Analysis and Applications 23 Applied Mathematical Modelling 21 Advances in Computational Mathematics 20 Applied Mathematics Letters 19 Mathematical Methods in the Applied Sciences 19 Numerische Mathematik 19 Mathematical Problems in Engineering 18 SIAM Journal on Scientific Computing 17 Mathematics of Computation 17 Engineering Analysis with Boundary Elements 16 Abstract and Applied Analysis 16 Advances in Difference Equations 15 Applied Mathematics and Mechanics. (English Edition) 14 SIAM Journal on Numerical Analysis 13 Applicable Analysis 12 Computers and Fluids 12 Computational and Applied Mathematics 12 Discrete and Continuous Dynamical Systems. Series B 11 Mathematics and Computers in Simulation 11 Communications in Computational Physics 10 Chaos, Solitons and Fractals 10 Journal of Applied Mathematics and Computing 10 International Journal of Computational Methods 9 International Journal of Numerical Analysis and Modeling 8 Calcolo 8 Computing 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Nonlinear Analysis. Real World Applications 8 East Asian Journal on Applied Mathematics 7 Applications of Mathematics 7 AIMS Mathematics 6 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 6 International Journal of Numerical Methods for Heat & Fluid Flow 6 International Journal of Computational Fluid Dynamics 6 Communications in Nonlinear Science and Numerical Simulation 6 Boundary Value Problems 6 AMM. Applied Mathematics and Mechanics. (English Edition) 5 BIT 5 Journal of Mathematical Chemistry 5 International Journal of Nonlinear Sciences and Numerical Simulation 5 Mathematical Modelling and Analysis 5 Journal of Applied Mathematics 5 Communications on Pure and Applied Analysis 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 5 Science China. Mathematics 4 Acta Mathematicae Applicatae Sinica. English Series 4 Journal of Difference Equations and Applications 4 Discrete Dynamics in Nature and Society 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Frontiers of Mathematics in China 4 Advances in Numerical Analysis 4 Journal of Applied Analysis and Computation 4 Journal of Function Spaces 4 International Journal of Applied and Computational Mathematics 3 International Journal for Numerical Methods in Fluids 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Mathematical and Computer Modelling 3 Nonlinear Dynamics 3 Computational Geosciences 3 Computational Methods in Applied Mathematics 3 Mediterranean Journal of Mathematics 3 International Journal of Biomathematics 3 Advances in Mathematical Physics 3 Electronic Research Archive 2 International Journal of Engineering Science 2 Journal of the Franklin Institute 2 Journal of Mathematical Physics 2 Physica A 2 International Journal for Numerical Methods in Engineering 2 Numerical Functional Analysis and Optimization 2 Chinese Annals of Mathematics. Series B 2 Computational Mechanics 2 European Journal of Applied Mathematics 2 Japan Journal of Industrial and Applied Mathematics 2 Applied Mathematics. Series B (English Edition) 2 Filomat 2 Discrete and Continuous Dynamical Systems 2 Differential Equations and Dynamical Systems 2 Taiwanese Journal of Mathematics 2 Journal of Inequalities and Applications 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Fractional Calculus & Applied Analysis 2 S$$\vec{\text{e}}$$MA Journal 2 Communications on Applied Mathematics and Computation 1 Archive for Rational Mechanics and Analysis 1 Computer Physics Communications 1 Inverse Problems 1 Journal of Engineering Mathematics 1 Reports on Mathematical Physics ...and 66 more Serials
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### Cited in 33 Fields

 1,097 Numerical analysis (65-XX) 689 Partial differential equations (35-XX) 683 Fluid mechanics (76-XX) 54 Mechanics of deformable solids (74-XX) 51 Biology and other natural sciences (92-XX) 38 Real functions (26-XX) 36 Ordinary differential equations (34-XX) 30 Classical thermodynamics, heat transfer (80-XX) 27 Statistical mechanics, structure of matter (82-XX) 24 Integral equations (45-XX) 20 Dynamical systems and ergodic theory (37-XX) 17 Optics, electromagnetic theory (78-XX) 17 Geophysics (86-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 11 Probability theory and stochastic processes (60-XX) 8 Operator theory (47-XX) 7 Special functions (33-XX) 6 Systems theory; control (93-XX) 4 Difference and functional equations (39-XX) 4 Approximations and expansions (41-XX) 4 Computer science (68-XX) 4 Mechanics of particles and systems (70-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)