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## Feng, Xinlong

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 Author ID: feng.xinlong Published as: Feng, X.; Feng, Xin Long; Feng, Xin-Long; Feng, Xin-long; Feng, Xinlong
 Documents Indexed: 150 Publications since 1990
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#### Co-Authors

 1 single-authored 44 He, Yinnian 27 Huang, Pengzhan 19 Zhai, Shuying 15 Weng, Zhifeng 12 Su, Haiyan 10 Zhao, Jianping 8 Liu, Demin 6 Wang, Kun 6 Wu, Jilian 6 Xiao, Xufeng 5 He, Ruijian 4 Abduwali, Abdurishit 4 Chen, Zhangxin 4 Gao, Zhiming 4 Li, Ning 4 Peng, Gang 4 Qian, Lingzhi 3 He, Guoliang 3 Qiao, Yuanyang 3 Tang, Tao 3 Yang, Jiang 3 Yuan, Jinyun 3 Zhang, Zhinan 2 Gui, Dongwei 2 Li, Jingwei 2 Meng, Jixiang 2 Shao, Long 2 Sun, Haiyan 2 Wang, Huan 2 Wei, LeiLei 2 Xie, Cong 2 Zhang, Xindong 2 Zhao, Shubo 2 Zulhumar, Kadir 1 Chen, Jinru 1 Eskar, Rena 1 Fiordilino, Joseph Anthony 1 Haliman Dalihan 1 Haliman, Dalihan 1 Hu, Xiaohui 1 Kim, Imbunm 1 Li, Rongfei 1 Li, Yuxia 1 Li, Zhilin 1 Liu, Fei 1 Ma, Yanchun 1 Mao, Shipeng 1 Mei, Liquan 1 Meng, Bo 1 Nam, Hyun Soo 1 Parida, Sailitniyazi 1 Rena, Eskar 1 Shang, Yueqiang 1 Sheen, Dongwoo 1 Shen, Jie 1 Si, Zhiyong 1 Song, Huailing 1 Song, Lina 1 Sun, Ming 1 Tong, Fenghua 1 Wang, Gang 1 Wang, Huanhuan 1 Wang, Weilong 1 Wen, Juan 1 Wu, Wenjuan 1 Xie, Hehu 1 Yan, Wenjing 1 Yang, Yanfang 1 Zhang, Huili 1 Zhang, Qing 1 Zhang, Yi 1 Zhang, Yinhu 1 Zhu, Tielei
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#### Serials

 13 Applied Mathematics and Computation 12 Applied Mathematical Modelling 9 Journal of Scientific Computing 7 Numerical Methods for Partial Differential Equations 7 Chinese Journal of Engineering Mathematics 6 Computers & Mathematics with Applications 5 Applied Numerical Mathematics 5 East Asian Journal on Applied Mathematics 4 Journal of Xinjiang University. Natural Science 4 Nonlinear Analysis. Real World Applications 3 Computer Methods in Applied Mechanics and Engineering 3 Journal of Computational Physics 3 Applied Mathematics Letters 3 Applications of Mathematics 3 Numerical Algorithms 3 International Journal of Computer Mathematics 3 International Journal of Computational Methods 3 International Journal of Numerical Analysis and Modeling 2 Journal of Mathematical Analysis and Applications 2 Mathematical Methods in the Applied Sciences 2 Journal of Computational and Applied Mathematics 2 Numerical Mathematics 2 SIAM Journal on Scientific Computing 2 Mathematical Problems in Engineering 2 Journal of Applied Mathematics & Informatics 1 Computers and Fluids 1 Computer Physics Communications 1 Mathematics of Computation 1 Mathematics and Computers in Simulation 1 Applied Mathematics and Mechanics. (English Edition) 1 Mathematics in Practice and Theory 1 Mathematical and Computer Modelling 1 Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie. Nouvelle Série 1 Topological Methods in Nonlinear Analysis 1 Advances in Computational Mathematics 1 Engineering Analysis with Boundary Elements 1 Discrete and Continuous Dynamical Systems 1 Journal of Mathematical Study 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Applied Mathematics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Mathematical Reports 1 Journal of Applied Mathematics and Computing 1 Advances in Difference Equations 1 Frontiers of Mathematics in China 1 Communications in Computational Physics 1 Inverse Problems and Imaging 1 Numerical Mathematics: Theory, Methods and Applications
all top 5

#### Fields

 122 Numerical analysis (65-XX) 72 Partial differential equations (35-XX) 47 Fluid mechanics (76-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Ordinary differential equations (34-XX) 4 Mechanics of deformable solids (74-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Probability theory and stochastic processes (60-XX) 3 Biology and other natural sciences (92-XX) 2 Approximations and expansions (41-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Integral equations (45-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

99 Publications have been cited 624 times in 425 Documents Cited by Year
Nonlinear stability of the implicit-explicit methods for the Allen-Cahn equation. Zbl 1273.65111
Feng, Xinlong; Song, Huailing; Tang, Tao; Yang, Jiang
2013
Long time numerical simulations for phase-field problems using $$p$$-adaptive spectral deferred correction methods. Zbl 1327.65161
Feng, Xinlong; Tang, Tao; Yang, Jiang
2015
An efficient algorithm for solving Troesch’s problem. Zbl 1122.65373
Feng, Xinlong; Mei, Liquan; He, Guoliang
2007
Stabilized Crank-Nicolson/Adams-Bashforth schemes for phase field models. Zbl 1302.65224
Feng, Xinlong; Tang, Tao; Yang, Jiang
2013
An unconditionally stable compact ADI method for three-dimensional time-fractional convection-diffusion equation. Zbl 1349.65356
Zhai, Shuying; Feng, Xinlong; He, Yinnian
2014
The local discontinuous Galerkin finite element method for Burger’s equation. Zbl 1235.65115
Shao, Long; Feng, Xinlong; He, Yinnian
2011
High order iterative methods without derivatives for solving nonlinear equations. Zbl 1119.65036
Feng, Xinlong; He, Yinnian
2007
Exploratory approach to explicit solution of nonlinear evolution equations. Zbl 0962.35033
Feng, X.
2000
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 Fourier spectral method for fractional-in-space Cahn-Hilliard equation. Zbl 1443.65255
Weng, Zhifeng; Zhai, Shuying; Feng, Xinlong
2017
Fast explicit operator splitting method and time-step adaptivity for fractional non-local Allen-Cahn model. Zbl 1446.65135
Zhai, Shuying; Weng, Zhifeng; Feng, Xinlong
2016
Finite element method for two-dimensional time-fractional Tricomi-type equations. Zbl 1276.65060
Zhang, Xindong; Huang, Pengzhan; Feng, Xinlong; Wei, Leilei
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
Two-level stabilized method based on three corrections for the stationary Navier-Stokes equations. Zbl 1302.76103
Huang, Pengzhan; Feng, Xinlong; Liu, Demin
2012
Numerical investigations on several stabilized finite element methods for the Stokes eigenvalue problem. Zbl 1235.74286
Huang, Pengzhan; He, Yinnian; Feng, Xinlong
2011
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
Two-level stabilized finite element method for Stokes eigenvalue problem. Zbl 1266.65192
Huang, Peng-zhan; He, Yin-nian; Feng, Xin-long
2012
Locally stabilized $$P_{1}$$-nonconforming quadrilateral and hexahedral finite element methods for the Stokes equations. Zbl 1233.65088
Feng, Xinlong; Kim, Imbunm; Nam, Hyun; Sheen, Dongwoo
2011
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
The rank of a random matrix. Zbl 1162.15015
Feng, Xinlong; Zhang, Zhinan
2007
$$H^2$$-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
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
Two-level defect-correction locally stabilized finite element method for the steady Navier-Stokes equations. Zbl 1261.35108
Huang, Pengzhan; Feng, Xinlong; Su, Haiyan
2013
On uniform in time $$H^2$$-regularity of the solution for the 2D Cahn-Hilliard equation. Zbl 1350.35051
He, Yinnian; Feng, Xinlong
2016
$$P _{1}$$-nonconforming quadrilateral finite volume methods for the semilinear elliptic equations. Zbl 1255.65194
Feng, Xinlong; Li, Rongfei; He, Yinnian; Liu, Demin
2012
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
The semi-discrete streamline diffusion finite element method for time-dependent convection-diffusion problems. Zbl 1153.65098
Si, Zhiyong; Feng, Xinlong; Abduwali, Abdurishit
2008
Concentration of pulp fibers in 3D turbulent channel flow. Zbl 1136.76495
Dong, S.; Feng, X.; Salcudean, M.; Gartshore, I.
2003
Unconditionally stable Gauge-Uzawa finite element schemes for incompressible natural convection problems with variable density. Zbl 1380.76132
Wu, Jilian; Shen, Jie; Feng, Xinlong
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 stabilized semi-implicit finite element method for the surface Allen-Cahn equation. Zbl 1366.65091
Xiao, Xufeng; Feng, Xinlong; Yuan, Jinyun
2017
Iterative methods in penalty finite element discretization for the steady MHD equations. Zbl 1423.76281
Su, Haiyan; Feng, Xinlong; Huang, Pengzhan
2016
Estimation of parameters of the Makeham distribution using the least squares method. Zbl 1131.62088
Feng, Xinlong; He, Guoliang; Abdurishit
2008
Finite volume method based on stabilized finite elements for the nonstationary Navier-Stokes problem. Zbl 1127.76036
He, Guoliang; He, Yinnian; Feng, Xinlong
2007
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
Two-level penalty Newton iterative method for the 2D/3D stationary incompressible magnetohydrodynamics equations. Zbl 1397.76078
Su, Haiyan; Feng, Xinlong; Zhao, Jianping
2017
Uniform $$H^{2}$$-regularity of solution for the 2D Navier-Stokes/Cahn-Hilliard phase field model. Zbl 1338.35085
He, Yinnian; Feng, Xinlong
2016
Two-level stabilized method based on Newton iteration for the steady Smagorinsky model. Zbl 1261.35122
Huang, Pengzhan; Feng, Xinlong; Liu, Demin
2013
A new mixed finite element method based on the Crank-Nicolson scheme for the parabolic problems. Zbl 1252.65170
Weng, Zhifeng; Feng, Xinlong; Huang, Pengzhan
2012
An efficient two-step algorithm for the stationary incompressible magnetohydrodynamic equations. Zbl 1411.76071
Wu, Jilian; Liu, Demin; Feng, Xinlong; Huang, Pengzhan
2017
Pressure-correction projection FEM for time-dependent natural convection problem. Zbl 1373.76106
Wu, Jilian; Feng, Xinlong; Liu, Fei
2017
An efficient two-step algorithm for the incompressible flow problem. Zbl 1334.76080
Huang, Pengzhan; Feng, Xinlong; He, Yinnian
2015
A high accuracy spectral method for space-fractional diffusion equations. Zbl 1324.65133
Zhai, Shuying; Gui, Dongwei; Zhao, Jianping; Feng, Xinlong
2014
The characteristic finite difference streamline diffusion method for convection-dominated diffusion problems. Zbl 1236.76041
Qian, Lingzhi; Feng, Xinlong; He, Yinnian
2012
On error estimates of the fully discrete penalty method for the viscoelastic flow problem. Zbl 1266.76032
Wang, Kun; He, Yinnian; Feng, Xinlong
2011
On the generalized SOR-like methods for saddle point problems. Zbl 1295.65035
Feng, Xin-Long; Shao, Long
2010
Some Uzawa-type finite element iterative methods for the steady incompressible magnetohydrodynamic equations. Zbl 1411.76078
Zhu, Tielei; Su, Haiyan; Feng, Xinlong
2017
$$H^1$$-super-convergence of center finite difference method based on $$P_1$$-element for the elliptic equation. Zbl 1429.65268
Feng, Xinlong; He, Yinnian
2014
An Oseen scheme for the conduction-convection equations based on a stabilized nonconforming method. Zbl 1427.65365
Huang, Pengzhan; Zhao, Jianping; Feng, Xinlong
2014
A stabilized finite element method for the time-dependent Stokes equations based on Crank-Nicolson scheme. Zbl 1349.76221
Huang, Pengzhan; Feng, Xinlong; Liu, Demin
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
The convergence of a new parallel algorithm for the Navier-Stokes equations. Zbl 1154.65355
Feng, Xinlong; He, Yinnian
2009
Application of homotopy perturbation method to the Bratu-type equations. Zbl 1158.34306
Feng, Xinlong; He, Yinnian; Meng, Jixiang
2008
Parametric iterative methods of second-order for solving nonlinear equation. Zbl 1093.65048
Feng, Xinlong; He, Yinnian
2006
Exact wave front solutions to two generalized coupled nonlinear physical equations. Zbl 0972.35525
Feng, X.
1996
An efficient time adaptivity based on chemical potential for surface Cahn-Hilliard equation using finite element approximation. Zbl 1433.65183
Zhao, Shubo; Xiao, Xufeng; Feng, Xinlong
2020
Optimal error estimates of penalty based iterative methods for steady incompressible magnetohydrodynamics equations with different viscosities. Zbl 1419.65123
Su, Haiyan; Mao, Shipeng; Feng, Xinlong
2019
The lumped mass finite element method for surface parabolic problems: error estimates and maximum principle. Zbl 1419.65075
Xiao, Xufeng; Feng, Xinlong; Yuan, Jinyun
2018
Error estimates of fully discrete finite element solutions for the 2D Cahn-Hilliard equation with infinite time horizon. Zbl 1365.65209
He, Ruijian; Chen, Zhangxin; Feng, Xinlong
2017
New high-order compact ADI algorithms for 3D nonlinear time-fractional convection-diffusion equation. Zbl 1296.65118
Zhai, Shuying; Feng, Xinlong; Weng, Zhifeng
2013
A quadratic equal-order stabilized finite element method for the conduction-convection equations. Zbl 1290.76064
Huang, Pengzhan; Feng, Xinlong; He, Yinnian
2013
An analytic study on the multi-pantograph delay equations with variable coefficients. Zbl 1313.65178
Feng, Xinlong
2013
Investigations on two kinds of two-grid mixed finite element methods for the elliptic eigenvalue problem. Zbl 1268.65157
Weng, Zhifeng; Feng, Xinlong; Zhai, Shuying
2012
A stabilized implicit fractional-step method for the time-dependent Navier-Stokes equations using equal-order pairs. Zbl 1245.35082
Feng, Xinlong; He, Yinnian; Huang, Pengzhan
2012
Convergence analysis of an implicit fractional-step method for the incompressible Navier-Stokes equations. Zbl 1228.76040
Feng, Xinlong; He, Yinnian; Liu, Demin
2011
Large time-stepping method based on the finite element discretization for the Cahn-Hilliard equation. Zbl 1236.65128
Yang, Yanfang; Feng, Xinlong; He, Yinnian
2011
Modified homotopy perturbation method for solving the Stokes equations. Zbl 1219.76034
Feng, Xinlong; He, Yinnian
2011
Exact traveling wave solutions of some nonlinear physical models. I: The fifth order KdV type equations. Zbl 0968.35100
Hu, Jianlan; Feng, X.; Li, Zhi
2000
Ensemble time-stepping algorithm for the convection-diffusion equation with random diffusivity. Zbl 1417.60057
Li, Ning; Fiordilino, Joseph; Feng, Xinlong
2019
A partitioned finite element scheme based on Gauge-Uzawa method for time-dependent MHD equations. Zbl 1388.76160
Zhang, Qing; Su, Haiyan; Feng, Xinlong
2018
$$H^1$$-superconvergence of a difference finite element method based on the $$P_1-P_1$$-conforming element on non-uniform meshes for the 3D Poisson equation. Zbl 06864181
He, Ruijian; Feng, Xinlong; Chen, Zhangxin
2018
Second order convergence of the interpolation based on $$Q_1^c$$-element. Zbl 1399.65026
He, Ruijian; Feng, Xinlong
2016
Recovery-based error estimator for stabilized finite element method for the stationary Navier-Stokes problem. Zbl 1457.65217
Song, Lina; Su, Haiyan; Feng, Xinlong
2016
Convergence of the Crank-Nicolson/Newton scheme for nonlinear parabolic problem. Zbl 1363.65146
Feng, Xinlong; He, Yinnian
2016
A new mixed finite element method based on the Crank-Nicolson scheme for Burgers’ equation. Zbl 1399.65327
Hu, Xiaohui; Huang, Pengzhan; Feng, Xinlong
2016
A robust high-order compact method for the three dimensional nonlinear biharmonic equations. Zbl 1359.65236
Zhai, Shuying; Feng, Xinlong; He, Yinnian
2014
Numerical methods of new mixed finite element scheme for single-phase compressible flow. Zbl 1359.76191
Zhai, Shuying; Feng, Xinlong; Weng, Zhifeng
2014
Acceleration of two-grid stabilized mixed finite element method for the Stokes eigenvalue problem. Zbl 1340.65257
Feng, Xinlong; Weng, Zhifeng; Xie, Hehu
2014
A two-grid stabilized mixed finite element method for semilinear elliptic equations. Zbl 1426.65186
Weng, Zhifeng; Feng, Xinlong; Liu, Demin
2013
The local discontinuous Galerkin finite element method for a class of convection-diffusion equations. Zbl 1259.65153
Wu, Wenjuan; Feng, Xinlong; Liu, Demin
2013
On error estimates of the penalty method for the unsteady conduction-convention problems. I: Time discretization. Zbl 1263.76051
Sun, Haiyan; He, Yinnian; Feng, Xinlong
2012
New predictor-corrector methods of second-order for solving nonlinear equations. Zbl 1259.65074
Wang, Kun; Feng, Xinlong
2011
Application of modified homotopy perturbation method for solving the augmented systems. Zbl 1173.65024
Feng, Xinlong; He, Yinnian; Meng, Jixiang
2009
An additive average Schwarz method for the plate bending problem. Zbl 1077.74557
Feng, X.; Rahman, T.
2002
$$H^1$$-superconvergence of finite difference method based on $$Q_1$$-element on quasi-uniform mesh for the 3D Poisson equation. Zbl 1450.65137
Feng, Xinlong; He, Ruijian; Chen, Zhangxin
2020
Analysis of the operator splitting scheme for the Cahn-Hilliard equation with a viscosity term. Zbl 1430.35201
Weng, Zhifeng; Zhai, Shuying; Feng, Xinlong
2019
A new high-order compact ADI finite difference scheme for solving 3D nonlinear Schrödinger equation. Zbl 1455.65128
Eskar, Rena; Huang, Pengzhan; Feng, Xinlong
2018
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
Second order time-space iterative method for the stationary Navier-Stokes equations. Zbl 1381.76177
Huang, Pengzhan; He, Yinnian; Feng, Xinlong
2016
An improved two-grid finite element method for the Steklov eigenvalue problem. Zbl 1443.65303
Weng, Zhifeng; Zhai, Shuying; Feng, Xinlong
2015
Three iterative finite element methods for the stationary Smagorinsky model. Zbl 1309.76134
Su, Haiyan; Huang, Pengzhan; Wen, Juan; Feng, Xinlong
2014
A new coupled high-order compact method for the three-dimensional nonlinear biharmonic equations. Zbl 1304.65234
Zhai, Shuying; Feng, Xinlong
2014
Analysis of two-grid method for semi-linear elliptic equations by new mixed finite element scheme. Zbl 1457.65243
Weng, Zhifeng; Feng, Xinlong; Zhai, Shuying
2013
A new mixed finite element scheme for second order elliptic eigenvalue problem. Zbl 1313.65299
Weng, Zhifeng; Haliman, Dalihan; Feng, Xinlong
2013
Two-level stabilized nonconforming finite element method for the Stokes equations. Zbl 1313.76033
Su, Haiyan; Huang, Pengzhan; Feng, Xinlong
2013
Error estimates for two-level penalty finite volume method for the stationary Navier-Stokes equations. Zbl 1273.76289
Huang, Pengzhan; Feng, Xinlong
2013
A new defect-correction method for the stationary Navier-Stokes equations based on local Gauss integration. Zbl 1246.76054
Huang, Pengzhan; He, Yinnian; Feng, Xinlong
2012
New predictor-corrector methods for solving nonlinear equations. Zbl 1204.41009
Wang, Kun; Feng, Xinlong
2010
New decomposition and convexification algorithm for nonconvex large-scale primal-dual optimization. Zbl 0696.90053
Feng, X.; Mukai, H.; Brown, R. H.
1990
An efficient time adaptivity based on chemical potential for surface Cahn-Hilliard equation using finite element approximation. Zbl 1433.65183
Zhao, Shubo; Xiao, Xufeng; Feng, Xinlong
2020
$$H^1$$-superconvergence of finite difference method based on $$Q_1$$-element on quasi-uniform mesh for the 3D Poisson equation. Zbl 1450.65137
Feng, Xinlong; He, Ruijian; Chen, Zhangxin
2020
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
Optimal error estimates of penalty based iterative methods for steady incompressible magnetohydrodynamics equations with different viscosities. Zbl 1419.65123
Su, Haiyan; Mao, Shipeng; Feng, Xinlong
2019
Ensemble time-stepping algorithm for the convection-diffusion equation with random diffusivity. Zbl 1417.60057
Li, Ning; Fiordilino, Joseph; Feng, Xinlong
2019
Analysis of the operator splitting scheme for the Cahn-Hilliard equation with a viscosity term. Zbl 1430.35201
Weng, Zhifeng; Zhai, Shuying; Feng, Xinlong
2019
The lumped mass finite element method for surface parabolic problems: error estimates and maximum principle. Zbl 1419.65075
Xiao, Xufeng; Feng, Xinlong; Yuan, Jinyun
2018
A partitioned finite element scheme based on Gauge-Uzawa method for time-dependent MHD equations. Zbl 1388.76160
Zhang, Qing; Su, Haiyan; Feng, Xinlong
2018
$$H^1$$-superconvergence of a difference finite element method based on the $$P_1-P_1$$-conforming element on non-uniform meshes for the 3D Poisson equation. Zbl 06864181
He, Ruijian; Feng, Xinlong; Chen, Zhangxin
2018
A new high-order compact ADI finite difference scheme for solving 3D nonlinear Schrödinger equation. Zbl 1455.65128
Eskar, Rena; Huang, Pengzhan; Feng, Xinlong
2018
A Fourier spectral method for fractional-in-space Cahn-Hilliard equation. Zbl 1443.65255
Weng, Zhifeng; Zhai, Shuying; Feng, Xinlong
2017
Unconditionally stable Gauge-Uzawa finite element schemes for incompressible natural convection problems with variable density. Zbl 1380.76132
Wu, Jilian; Shen, Jie; Feng, Xinlong
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 stabilized semi-implicit finite element method for the surface Allen-Cahn equation. Zbl 1366.65091
Xiao, Xufeng; Feng, Xinlong; Yuan, Jinyun
2017
Two-level penalty Newton iterative method for the 2D/3D stationary incompressible magnetohydrodynamics equations. Zbl 1397.76078
Su, Haiyan; Feng, Xinlong; Zhao, Jianping
2017
An efficient two-step algorithm for the stationary incompressible magnetohydrodynamic equations. Zbl 1411.76071
Wu, Jilian; Liu, Demin; Feng, Xinlong; Huang, Pengzhan
2017
Pressure-correction projection FEM for time-dependent natural convection problem. Zbl 1373.76106
Wu, Jilian; Feng, Xinlong; Liu, Fei
2017
Some Uzawa-type finite element iterative methods for the steady incompressible magnetohydrodynamic equations. Zbl 1411.76078
Zhu, Tielei; Su, Haiyan; Feng, Xinlong
2017
Error estimates of fully discrete finite element solutions for the 2D Cahn-Hilliard equation with infinite time horizon. Zbl 1365.65209
He, Ruijian; Chen, Zhangxin; Feng, Xinlong
2017
Fast explicit operator splitting method and time-step adaptivity for fractional non-local Allen-Cahn model. Zbl 1446.65135
Zhai, Shuying; Weng, Zhifeng; Feng, Xinlong
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
Iterative methods in penalty finite element discretization for the steady MHD equations. Zbl 1423.76281
Su, Haiyan; Feng, Xinlong; Huang, Pengzhan
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
Second order convergence of the interpolation based on $$Q_1^c$$-element. Zbl 1399.65026
He, Ruijian; Feng, Xinlong
2016
Recovery-based error estimator for stabilized finite element method for the stationary Navier-Stokes problem. Zbl 1457.65217
Song, Lina; Su, Haiyan; Feng, Xinlong
2016
Convergence of the Crank-Nicolson/Newton scheme for nonlinear parabolic problem. Zbl 1363.65146
Feng, Xinlong; He, Yinnian
2016
A new mixed finite element method based on the Crank-Nicolson scheme for Burgers’ equation. Zbl 1399.65327
Hu, Xiaohui; Huang, Pengzhan; Feng, Xinlong
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
Second order time-space iterative method for the stationary Navier-Stokes equations. Zbl 1381.76177
Huang, Pengzhan; He, Yinnian; Feng, Xinlong
2016
Long time numerical simulations for phase-field problems using $$p$$-adaptive spectral deferred correction methods. Zbl 1327.65161
Feng, Xinlong; Tang, Tao; Yang, Jiang
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
An efficient two-step algorithm for the incompressible flow problem. Zbl 1334.76080
Huang, Pengzhan; Feng, Xinlong; He, Yinnian
2015
An improved two-grid finite element method for the Steklov eigenvalue problem. Zbl 1443.65303
Weng, Zhifeng; Zhai, Shuying; Feng, Xinlong
2015
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
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 high accuracy spectral method for space-fractional diffusion equations. Zbl 1324.65133
Zhai, Shuying; Gui, Dongwei; Zhao, Jianping; Feng, Xinlong
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
An Oseen scheme for the conduction-convection equations based on a stabilized nonconforming method. Zbl 1427.65365
Huang, Pengzhan; Zhao, Jianping; Feng, Xinlong
2014
A robust high-order compact method for the three dimensional nonlinear biharmonic equations. Zbl 1359.65236
Zhai, Shuying; Feng, Xinlong; He, Yinnian
2014
Numerical methods of new mixed finite element scheme for single-phase compressible flow. Zbl 1359.76191
Zhai, Shuying; Feng, Xinlong; Weng, Zhifeng
2014
Acceleration of two-grid stabilized mixed finite element method for the Stokes eigenvalue problem. Zbl 1340.65257
Feng, Xinlong; Weng, Zhifeng; Xie, Hehu
2014
Three iterative finite element methods for the stationary Smagorinsky model. Zbl 1309.76134
Su, Haiyan; Huang, Pengzhan; Wen, Juan; Feng, Xinlong
2014
A new coupled high-order compact method for the three-dimensional nonlinear biharmonic equations. Zbl 1304.65234
Zhai, Shuying; Feng, Xinlong
2014
Nonlinear stability of the implicit-explicit methods for the Allen-Cahn equation. Zbl 1273.65111
Feng, Xinlong; Song, Huailing; Tang, Tao; Yang, Jiang
2013
Stabilized Crank-Nicolson/Adams-Bashforth schemes for phase field models. Zbl 1302.65224
Feng, Xinlong; Tang, Tao; Yang, Jiang
2013
Finite element method for two-dimensional time-fractional Tricomi-type equations. Zbl 1276.65060
Zhang, Xindong; Huang, Pengzhan; Feng, Xinlong; Wei, Leilei
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
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
Two-level defect-correction locally stabilized finite element method for the steady Navier-Stokes equations. Zbl 1261.35108
Huang, Pengzhan; Feng, Xinlong; Su, Haiyan
2013
Two-level stabilized method based on Newton iteration for the steady Smagorinsky model. Zbl 1261.35122
Huang, Pengzhan; Feng, Xinlong; Liu, Demin
2013
A stabilized finite element method for the time-dependent Stokes equations based on Crank-Nicolson scheme. Zbl 1349.76221
Huang, Pengzhan; Feng, Xinlong; Liu, Demin
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
New high-order compact ADI algorithms for 3D nonlinear time-fractional convection-diffusion equation. Zbl 1296.65118
Zhai, Shuying; Feng, Xinlong; Weng, Zhifeng
2013
A quadratic equal-order stabilized finite element method for the conduction-convection equations. Zbl 1290.76064
Huang, Pengzhan; Feng, Xinlong; He, Yinnian
2013
An analytic study on the multi-pantograph delay equations with variable coefficients. Zbl 1313.65178
Feng, Xinlong
2013
A two-grid stabilized mixed finite element method for semilinear elliptic equations. Zbl 1426.65186
Weng, Zhifeng; Feng, Xinlong; Liu, Demin
2013
The local discontinuous Galerkin finite element method for a class of convection-diffusion equations. Zbl 1259.65153
Wu, Wenjuan; Feng, Xinlong; Liu, Demin
2013
Analysis of two-grid method for semi-linear elliptic equations by new mixed finite element scheme. Zbl 1457.65243
Weng, Zhifeng; Feng, Xinlong; Zhai, Shuying
2013
A new mixed finite element scheme for second order elliptic eigenvalue problem. Zbl 1313.65299
Weng, Zhifeng; Haliman, Dalihan; Feng, Xinlong
2013
Two-level stabilized nonconforming finite element method for the Stokes equations. Zbl 1313.76033
Su, Haiyan; Huang, Pengzhan; Feng, Xinlong
2013
Error estimates for two-level penalty finite volume method for the stationary Navier-Stokes equations. Zbl 1273.76289
Huang, Pengzhan; Feng, Xinlong
2013
Two-level stabilized method based on three corrections for the stationary Navier-Stokes equations. Zbl 1302.76103
Huang, Pengzhan; Feng, Xinlong; Liu, Demin
2012
Two-level stabilized finite element method for Stokes eigenvalue problem. Zbl 1266.65192
Huang, Peng-zhan; He, Yin-nian; Feng, Xin-long
2012
$$P _{1}$$-nonconforming quadrilateral finite volume methods for the semilinear elliptic equations. Zbl 1255.65194
Feng, Xinlong; Li, Rongfei; He, Yinnian; Liu, Demin
2012
A new mixed finite element method based on the Crank-Nicolson scheme for the parabolic problems. Zbl 1252.65170
Weng, Zhifeng; Feng, Xinlong; Huang, Pengzhan
2012
The characteristic finite difference streamline diffusion method for convection-dominated diffusion problems. Zbl 1236.76041
Qian, Lingzhi; Feng, Xinlong; He, Yinnian
2012
Investigations on two kinds of two-grid mixed finite element methods for the elliptic eigenvalue problem. Zbl 1268.65157
Weng, Zhifeng; Feng, Xinlong; Zhai, Shuying
2012
A stabilized implicit fractional-step method for the time-dependent Navier-Stokes equations using equal-order pairs. Zbl 1245.35082
Feng, Xinlong; He, Yinnian; Huang, Pengzhan
2012
On error estimates of the penalty method for the unsteady conduction-convention problems. I: Time discretization. Zbl 1263.76051
Sun, Haiyan; He, Yinnian; Feng, Xinlong
2012
A new defect-correction method for the stationary Navier-Stokes equations based on local Gauss integration. Zbl 1246.76054
Huang, Pengzhan; He, Yinnian; Feng, Xinlong
2012
The local discontinuous Galerkin finite element method for Burger’s equation. Zbl 1235.65115
Shao, Long; Feng, Xinlong; He, Yinnian
2011
Numerical investigations on several stabilized finite element methods for the Stokes eigenvalue problem. Zbl 1235.74286
Huang, Pengzhan; He, Yinnian; Feng, Xinlong
2011
Locally stabilized $$P_{1}$$-nonconforming quadrilateral and hexahedral finite element methods for the Stokes equations. Zbl 1233.65088
Feng, Xinlong; Kim, Imbunm; Nam, Hyun; Sheen, Dongwoo
2011
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
On error estimates of the fully discrete penalty method for the viscoelastic flow problem. Zbl 1266.76032
Wang, Kun; He, Yinnian; Feng, Xinlong
2011
Convergence analysis of an implicit fractional-step method for the incompressible Navier-Stokes equations. Zbl 1228.76040
Feng, Xinlong; He, Yinnian; Liu, Demin
2011
Large time-stepping method based on the finite element discretization for the Cahn-Hilliard equation. Zbl 1236.65128
Yang, Yanfang; Feng, Xinlong; He, Yinnian
2011
Modified homotopy perturbation method for solving the Stokes equations. Zbl 1219.76034
Feng, Xinlong; He, Yinnian
2011
New predictor-corrector methods of second-order for solving nonlinear equations. Zbl 1259.65074
Wang, Kun; Feng, Xinlong
2011
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
On the generalized SOR-like methods for saddle point problems. Zbl 1295.65035
Feng, Xin-Long; Shao, Long
2010
New predictor-corrector methods for solving nonlinear equations. Zbl 1204.41009
Wang, Kun; Feng, Xinlong
2010
The convergence of a new parallel algorithm for the Navier-Stokes equations. Zbl 1154.65355
Feng, Xinlong; He, Yinnian
2009
Application of modified homotopy perturbation method for solving the augmented systems. Zbl 1173.65024
Feng, Xinlong; He, Yinnian; Meng, Jixiang
2009
The semi-discrete streamline diffusion finite element method for time-dependent convection-diffusion problems. Zbl 1153.65098
Si, Zhiyong; Feng, Xinlong; Abduwali, Abdurishit
2008
Estimation of parameters of the Makeham distribution using the least squares method. Zbl 1131.62088
Feng, Xinlong; He, Guoliang; Abdurishit
2008
Application of homotopy perturbation method to the Bratu-type equations. Zbl 1158.34306
Feng, Xinlong; He, Yinnian; Meng, Jixiang
2008
An efficient algorithm for solving Troesch’s problem. Zbl 1122.65373
Feng, Xinlong; Mei, Liquan; He, Guoliang
2007
High order iterative methods without derivatives for solving nonlinear equations. Zbl 1119.65036
Feng, Xinlong; He, Yinnian
2007
The rank of a random matrix. Zbl 1162.15015
Feng, Xinlong; Zhang, Zhinan
2007
Finite volume method based on stabilized finite elements for the nonstationary Navier-Stokes problem. Zbl 1127.76036
He, Guoliang; He, Yinnian; Feng, Xinlong
2007
Parametric iterative methods of second-order for solving nonlinear equation. Zbl 1093.65048
Feng, Xinlong; He, Yinnian
2006
Concentration of pulp fibers in 3D turbulent channel flow. Zbl 1136.76495
Dong, S.; Feng, X.; Salcudean, M.; Gartshore, I.
2003
An additive average Schwarz method for the plate bending problem. Zbl 1077.74557
Feng, X.; Rahman, T.
2002
Exploratory approach to explicit solution of nonlinear evolution equations. Zbl 0962.35033
Feng, X.
2000
Exact traveling wave solutions of some nonlinear physical models. I: The fifth order KdV type equations. Zbl 0968.35100
Hu, Jianlan; Feng, X.; Li, Zhi
2000
Exact wave front solutions to two generalized coupled nonlinear physical equations. Zbl 0972.35525
Feng, X.
1996
New decomposition and convexification algorithm for nonconvex large-scale primal-dual optimization. Zbl 0696.90053
Feng, X.; Mukai, H.; Brown, R. H.
1990
all top 5

#### Cited by 706 Authors

 61 Feng, Xinlong 34 He, Yinnian 23 Huang, Pengzhan 18 Weng, Zhifeng 14 Zhai, Shuying 12 Dehghan Takht Fooladi, Mehdi 12 Wei, LeiLei 10 Shang, Yueqiang 10 Shi, Dongyang 9 Wang, Kun 8 Si, Zhiyong 8 Yuan, Jinyun 7 Abbaszadeh, Mostafa 7 Li, Hong 7 Su, Haiyan 7 Zhao, Jianping 6 Liu, Yang 6 Mei, Liquan 6 Xiao, Xufeng 5 Hu, Jianlan 5 Hueso, José Luis 5 Karniadakis, George Em 5 Martínez, Eulalia 5 Zhang, Tong 4 Fang, Zhichao 4 Kim, Junseok 4 Liu, Demin 4 Qian, Yanxia 4 Tang, Tao 4 Wang, Jinfeng 4 Xu, Yan 4 Zhang, Tong 4 Zhang, Xindong 4 Zou, Guang’an 3 An, Rong 3 Awasthi, Ashish 3 Chen, Zhangxin 3 Cordero, Alicia 3 Dong, Xiaojing 3 Ercole, Grey 3 He, Ruijian 3 He, Siriguleng 3 Hou, Yanren 3 Huang, Yunqing 3 Jia, Hongen 3 Jin, Jiaojiao 3 Mangasarian, Olvi L. 3 Martins, Eder Marinho 3 Mohammadi, Vahid 3 Mukundan, Vijitha 3 Pan, Kejia 3 Qian, Lingzhi 3 Shen, Jie 3 Shin, Jaemin 3 Song, Fangying 3 Tang, Bo 3 Temimi, Helmi 3 Torregrosa Sanchez, Juan Ramón 3 Vázquez-Leal, Héctor 3 Wang, Yunxia 3 Wu, Jilian 3 Xu, Chuanju 3 Yang, Huaijun 3 Zhang, Hanlin 3 Zhang, Yunzhang 3 Zheng, Bo 3 Zheng, Bo 2 Bajpai, Saumya 2 Bu, Linlin 2 Chang, Shih-Hsiang 2 Chen, Wenbin 2 Chen, Yaoyao 2 do Espírito Santo, Júlio César 2 Fang, Yonglei 2 Feng, Xuexin 2 Filobello-Nino, Uriel A. 2 Galenko, Petr Konstantinovich 2 Ge, Yongbin 2 Gedicke, Joscha 2 Gepreel, Khaled A. 2 Gong, Yuezheng 2 Gu, Xian-Ming 2 Guo, Ruihan 2 Gupta, Dharmendra Kumar 2 He, Xuefei 2 Hou, Tianliang 2 Hou, Yan 2 Huang, Ting-Zhu 2 Itzá-Balam, Reymundo 2 Jeong, Darae 2 Jha, Navnit 2 Jiang, Tao 2 Karasözen, Bülent 2 Khan, Arbaz 2 Khan, Yasir 2 Kong, Qiongxiang 2 Kurganov, Alexander 2 Lee, Hyun Geun 2 Lee, June-Yub 2 Lee, Seunggyu Lee ...and 606 more Authors
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#### Cited in 104 Serials

 41 Applied Mathematics and Computation 35 Computers & Mathematics with Applications 30 Journal of Computational and Applied Mathematics 27 Journal of Scientific Computing 23 Applied Numerical Mathematics 16 Numerical Algorithms 15 Journal of Computational Physics 11 Applied Mathematical Modelling 10 Mathematical Problems in Engineering 8 Computer Methods in Applied Mechanics and Engineering 8 Journal of Mathematical Analysis and Applications 8 Mathematics and Computers in Simulation 8 Numerical Methods for Partial Differential Equations 7 International Journal of Computer Mathematics 7 Engineering Analysis with Boundary Elements 6 Mathematical Methods in the Applied Sciences 6 Calcolo 6 Journal of Applied Mathematics and Computing 5 SIAM Journal on Scientific Computing 5 Advances in Computational Mathematics 5 Optimization Letters 5 East Asian Journal on Applied Mathematics 4 Computers and Fluids 4 SIAM Journal on Numerical Analysis 4 Applied Mathematics Letters 4 Applications of Mathematics 4 Communications in Nonlinear Science and Numerical Simulation 4 Discrete and Continuous Dynamical Systems. Series B 4 Journal of Applied Mathematics 4 International Journal of Computational Methods 3 Applied Mathematics and Mechanics. (English Edition) 3 Mathematical and Computer Modelling 3 Journal of Mathematical Chemistry 3 Discrete Dynamics in Nature and Society 3 Advances in Difference Equations 2 Mathematics of Computation 2 Chaos, Solitons and Fractals 2 BIT 2 Computational and Applied Mathematics 2 Journal of Difference Equations and Applications 2 Discrete and Continuous Dynamical Systems 2 Differential Equations and Dynamical Systems 2 Nonlinear Dynamics 2 Abstract and Applied Analysis 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Frontiers of Mathematics in China 2 Advances in Numerical Analysis 2 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Modern Physics Letters B 1 Applicable Analysis 1 International Journal of Engineering Science 1 Journal of Engineering Mathematics 1 Physica A 1 Physics Letters. A 1 Theoretical and Mathematical Physics 1 Information Sciences 1 Journal of Econometrics 1 Journal of Functional Analysis 1 Journal of the Korean Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 Bulletin of the Iranian Mathematical Society 1 Physica D 1 Statistics 1 Neural Networks 1 Linear Algebra and its Applications 1 International Applied Mechanics 1 Physics of Fluids 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Turkish Journal of Mathematics 1 Complexity 1 Vietnam Journal of Mathematics 1 Optimization Methods & Software 1 Taiwanese Journal of Mathematics 1 Journal of Shanghai University 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Fractional Calculus & Applied Analysis 1 Engineering Computations 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 International Journal of Modern Physics C 1 Miscelánea Matemática 1 Computational Methods in Applied Mathematics 1 Entropy 1 Journal of Statistical Mechanics: Theory and Experiment 1 Boundary Value Problems 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Acta Mechanica Sinica 1 Asian-European Journal of Mathematics 1 Advances in Differential Equations and Control Processes 1 Advances in Mathematical Physics 1 Journal of the Korean Society for Industrial and Applied Mathematics 1 Journal of Mathematics 1 International Journal of Engineering Mathematics 1 Journal of Function Spaces 1 Research in the Mathematical Sciences 1 International Journal of Applied and Computational Mathematics 1 Cogent Mathematics 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 SMAI Journal of Computational Mathematics ...and 4 more Serials
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#### Cited in 31 Fields

 354 Numerical analysis (65-XX) 206 Partial differential equations (35-XX) 126 Fluid mechanics (76-XX) 21 Ordinary differential equations (34-XX) 19 Mechanics of deformable solids (74-XX) 13 Real functions (26-XX) 13 Classical thermodynamics, heat transfer (80-XX) 12 Statistical mechanics, structure of matter (82-XX) 9 Integral equations (45-XX) 9 Operations research, mathematical programming (90-XX) 7 Statistics (62-XX) 7 Computer science (68-XX) 7 Biology and other natural sciences (92-XX) 6 Probability theory and stochastic processes (60-XX) 5 Optics, electromagnetic theory (78-XX) 4 Approximations and expansions (41-XX) 4 Geophysics (86-XX) 3 Operator theory (47-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Special functions (33-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 Combinatorics (05-XX) 1 Functions of a complex variable (30-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX)