## Feng, Xinlong

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 Author ID: feng.xinlong Published as: Feng, Xinlong; Feng, Xin-long; Feng, Xin Long; Feng, Xin-Long more...less
 Documents Indexed: 174 Publications since 1990 Co-Authors: 80 Co-Authors with 156 Joint Publications 2,411 Co-Co-Authors
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### Co-Authors

 4 single-authored 49 He, Yinnian 31 Huang, Pengzhan 19 Zhai, Shuying 15 Weng, Zhifeng 14 Su, Haiyan 11 Xiao, Xufeng 10 Wang, Kun 10 Zhao, Jianping 9 Liu, Demin 6 Wu, Jilian 5 He, Ruijian 4 Abduwali, Abdurishit 4 Chen, Zhangxin 4 Gao, Zhiming 4 Li, Jingwei 4 Li, Ning 4 Peng, Gang 4 Qian, Lingzhi 4 Qiao, Yuanyang 3 Eskar, Rena 3 He, Guoliang 3 Li, Zhilin 3 Tang, Tao 3 Xu, Hui 3 Yang, Jiang 3 Yuan, Jinyun 3 Zhang, Zhinan 2 Cheng, Fangxiong 2 Gui, Dongwei 2 Hu, Jianlan 2 Hu, Xiaohui 2 Huang, Xueling 2 Ju, Lili 2 Lu, Xiaoli 2 Meng, Jixiang 2 Shao, Long 2 Si, Zhiyong 2 Sun, Haiyan 2 Sun, Ming 2 Tong, Fenghua 2 Wang, Huan 2 Wei, LeiLei 2 Xie, Cong 2 Zhang, Xindong 2 Zhao, Shubo 2 Zulhumar, Kadir 1 Adil, Nazakat 1 Brown, Ronald H. 1 Cai, Yongyong 1 Chen, Jinru 1 Chen, Xiaobo 1 Dong, Xiaojing 1 Fiordilino, Joseph Anthony 1 Gartshore, I. S. 1 Haliman Dalihan 1 Haliman, Dalihan 1 Jin, Mengqing 1 Kasim, Ehmet 1 Kim, Imbunm 1 Li, Rongfei 1 Li, Xiao 1 Li, Yuxia 1 Ma, Yanchun 1 Mao, Shipeng 1 Mei, Liquan 1 Meng, Bo 1 Parida, Sailitniyazi 1 Rahman, Talal 1 Rena, Eskar 1 Salcudean, M. 1 Shang, Yueqiang 1 Sheen, Dongwoo 1 Song, Huailing 1 Song, Lina 1 Velinsky, Steven A. 1 Wang, Huanhuan 1 Wang, Weilong 1 Wang, Yunxia 1 Wen, Juan 1 Wu, Wenjuan 1 Xie, Hehu 1 Xu, Jiali 1 Yan, Wenjing 1 Yang, Yanfang 1 Zhang, Huili 1 Zhang, Yinhu 1 Zhu, Tielei
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### Serials

 14 Applied Mathematics and Computation 12 Journal of Scientific Computing 12 Applied Mathematical Modelling 8 Computers & Mathematics with Applications 7 Numerical Methods for Partial Differential Equations 7 Chinese Journal of Engineering Mathematics 6 Computer Methods in Applied Mechanics and Engineering 6 Applied Numerical Mathematics 5 International Journal of Computational Methods 5 East Asian Journal on Applied Mathematics 4 Computers and Fluids 4 Journal of Computational Physics 4 Journal of Xinjiang University. Natural Science 4 Applied Mathematics Letters 4 Nonlinear Analysis. Real World Applications 3 Applications of Mathematics 3 Numerical Algorithms 3 International Journal of Computer Mathematics 3 SIAM Journal on Scientific Computing 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 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 2 Engineering Analysis with Boundary Elements 2 Mathematical Problems in Engineering 2 Communications in Nonlinear Science and Numerical Simulation 2 Mathematical Modelling and Analysis 2 Advances in Difference Equations 2 Journal of Applied Mathematics & Informatics 1 Computer Physics Communications 1 International Journal of Multiphase Flow 1 International Journal of Theoretical Physics 1 Physics Letters. A 1 Mathematics of Computation 1 Biometrika 1 Journal of Optimization Theory and Applications 1 Mathematics and Computers in Simulation 1 Mechanics Research Communications 1 SIAM Journal on Numerical Analysis 1 Applied Mathematics and Mechanics. (English Edition) 1 Mathematics in Practice and Theory 1 Acta Mathematica Hungarica 1 Mathematical and Computer Modelling 1 Journal of Dynamic Systems, Measurement and Control 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 Discrete and Continuous Dynamical Systems 1 International Journal of Computational Fluid Dynamics 1 Journal of Mathematical Study 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Journal of Modern Optics 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 Numerical Mathematics 1 Journal of Applied Mathematics and Computing 1 Journal of Computational Acoustics 1 Frontiers of Mathematics in China 1 Communications in Computational Physics 1 Inverse Problems and Imaging 1 Numerical Mathematics: Theory, Methods and Applications 1 Advances in Applied Mathematics and Mechanics
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### Fields

 145 Numerical analysis (65-XX) 87 Partial differential equations (35-XX) 67 Fluid mechanics (76-XX) 7 Mechanics of deformable solids (74-XX) 5 Probability theory and stochastic processes (60-XX) 5 Biology and other natural sciences (92-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Ordinary differential equations (34-XX) 4 Classical thermodynamics, heat transfer (80-XX) 2 Approximations and expansions (41-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Systems theory; control (93-XX) 1 Real functions (26-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

128 Publications have been cited 923 times in 583 Documents Cited by Year
Stabilized Crank-Nicolson/Adams-Bashforth schemes for phase field models. Zbl 1302.65224
Feng, Xinlong; Tang, Tao; Yang, Jiang
2013
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 unconditionally stable compact ADI method for three-dimensional time-fractional convection-diffusion equation. Zbl 1349.65356
Zhai, Shuying; Feng, Xinlong; He, Yinnian
2014
An efficient algorithm for solving Troesch’s problem. Zbl 1122.65373
Feng, Xinlong; Mei, Liquan; He, Guoliang
2007
The local discontinuous Galerkin finite element method for Burger’s equation. Zbl 1235.65115
Shao, Long; Feng, Xinlong; He, Yinnian
2011
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
A Fourier spectral method for fractional-in-space Cahn-Hilliard equation. Zbl 1443.65255
Weng, Zhifeng; Zhai, Shuying; Feng, Xinlong
2017
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
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
Two-level stabilized method based on three corrections for the stationary Navier-Stokes equations. Zbl 1302.76103
Huang, Pengzhan; Feng, Xinlong; Liu, Demin
2012
The stabilized semi-implicit finite element method for the surface Allen-Cahn equation. Zbl 1366.65091
Xiao, Xufeng; Feng, Xinlong; Yuan, Jinyun
2017
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
$$H^2$$-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
Iterative methods in penalty finite element discretization for the steady MHD equations. Zbl 1423.76281
Su, Haiyan; Feng, Xinlong; Huang, Pengzhan
2016
Two-level penalty Newton iterative method for the 2D/3D stationary incompressible magnetohydrodynamics equations. Zbl 1397.76078
Su, Haiyan; Feng, Xinlong; Zhao, Jianping
2017
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
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
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 finite element method for Stokes eigenvalue problem. Zbl 1266.65192
Huang, Peng-zhan; He, Yin-nian; Feng, Xin-long
2012
Finite element method for two-dimensional time-fractional Tricomi-type equations. Zbl 1276.65060
Zhang, Xindong; Huang, Pengzhan; Feng, Xinlong; Wei, Leilei
2013
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 uniform in time $$H^2$$-regularity of the solution for the 2D Cahn-Hilliard equation. Zbl 1350.35051
He, Yinnian; Feng, Xinlong
2016
Numerical simulation of binary fluid-surfactant phase field model coupled with geometric curvature on the curved surface. Zbl 1442.76120
Sun, Ming; Feng, Xinlong; Wang, Kun
2020
The rank of a random matrix. Zbl 1162.15015
Feng, Xinlong; Zhang, Zhinan
2007
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
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
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
An efficient two-step algorithm for the incompressible flow problem. Zbl 1334.76080
Huang, Pengzhan; Feng, Xinlong; He, Yinnian
2015
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
$$P _{1}$$-nonconforming quadrilateral finite volume methods for the semilinear elliptic equations. Zbl 1255.65194
Feng, Xinlong; Li, Rongfei; He, Yinnian; Liu, Demin
2012
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
On error estimates of the fully discrete penalty method for the viscoelastic flow problem. Zbl 1266.76032
Wang, Kun; He, Yinnian; Feng, Xinlong
2011
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
Uniform $$H^{2}$$-regularity of solution for the 2D Navier-Stokes/Cahn-Hilliard phase field model. Zbl 1338.35085
He, Yinnian; Feng, Xinlong
2016
Finite volume method based on stabilized finite elements for the nonstationary Navier-Stokes problem. Zbl 1127.76036
He, Guoliang; He, Yinnian; Feng, Xinlong
2007
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
Two-level stabilized method based on Newton iteration for the steady Smagorinsky model. Zbl 1261.35122
Huang, Pengzhan; Feng, Xinlong; Liu, Demin
2013
Stabilized integrating factor Runge-Kutta method and unconditional preservation of maximum bound principle. Zbl 1486.65146
Li, Jingwei; Li, Xiao; Ju, Lili; Feng, Xinlong
2021
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
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
Exact wave front solutions to two generalized coupled nonlinear physical equations. Zbl 0972.35525
Feng, X.
1996
Application of homotopy perturbation method to the Bratu-type equations. Zbl 1158.34306
Feng, Xinlong; He, Yinnian; Meng, Jixiang
2008
Estimation of parameters of the Makeham distribution using the least squares method. Zbl 1131.62088
Feng, Xinlong; He, Guoliang; Abdurishit
2008
An efficient two-step algorithm for the stationary incompressible magnetohydrodynamic equations. Zbl 1411.76071
Wu, Jilian; Liu, Demin; Feng, Xinlong; Huang, Pengzhan
2017
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
Ensemble time-stepping algorithm for the convection-diffusion equation with random diffusivity. Zbl 1417.60057
Li, Ning; Fiordilino, Joseph; Feng, Xinlong
2019
An Oseen scheme for the conduction-convection equations based on a stabilized nonconforming method. Zbl 1427.65365
Huang, Pengzhan; Zhao, Jianping; Feng, Xinlong
2014
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
A high accuracy spectral method for space-fractional diffusion equations. Zbl 1324.65133
Zhai, Shuying; Gui, Dongwei; Zhao, Jianping; Feng, Xinlong
2014
On the generalized SOR-like methods for saddle point problems. Zbl 1295.65035
Feng, Xin-Long; Shao, Long
2010
An analytic study on the multi-pantograph delay equations with variable coefficients. Zbl 1313.65178
Feng, Xinlong
2013
Unconditionally maximum bound principle preserving linear schemes for the conservative Allen-Cahn equation with nonlocal constraint. Zbl 1476.65178
Li, Jingwei; Ju, Lili; Cai, Yongyong; Feng, Xinlong
2021
The characteristic finite difference streamline diffusion method for convection-dominated diffusion problems. Zbl 1236.76041
Qian, Lingzhi; Feng, Xinlong; He, Yinnian
2012
A positivity-preserving finite volume scheme for three-temperature radiation diffusion equations. Zbl 1440.65112
Peng, Gang; Gao, Zhiming; Yan, Wenjing; Feng, Xinlong
2020
Pressure-correction projection FEM for time-dependent natural convection problem. Zbl 1373.76106
Wu, Jilian; Feng, Xinlong; Liu, Fei
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
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
Convergence analysis of an implicit fractional-step method for the incompressible Navier-Stokes equations. Zbl 1228.76040
Feng, Xinlong; He, Yinnian; Liu, Demin
2011
$$H^{1}$$-stability and convergence of the FE, FV and FD methods for an elliptic equation. Zbl 1291.65342
He, Yinnian; Feng, Xinlong
2013
Some Uzawa-type finite element iterative methods for the steady incompressible magnetohydrodynamic equations. Zbl 1411.76078
Zhu, Tielei; Su, Haiyan; Feng, Xinlong
2017
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
$$H^1$$-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 quadratic equal-order stabilized finite element method for the conduction-convection equations. Zbl 1290.76064
Huang, Pengzhan; Feng, Xinlong; He, Yinnian
2013
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
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
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
Convergence of the Crank-Nicolson/Newton scheme for nonlinear parabolic problem. Zbl 1363.65146
Feng, Xinlong; He, Yinnian
2016
The convergence of a new parallel algorithm for the Navier-Stokes equations. Zbl 1154.65355
Feng, Xinlong; He, Yinnian
2009
$$H^1$$-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 1471.65171
He, Ruijian; Feng, Xinlong; Chen, Zhangxin
2018
A two-grid stabilized mixed finite element method for semilinear elliptic equations. Zbl 1426.65186
Weng, Zhifeng; Feng, Xinlong; Liu, Demin
2013
On two-level Oseen penalty iteration methods for the 2D/3D stationary incompressible magnetohydronamics. Zbl 1436.65190
Su, Haiyan; Feng, Xinlong; Zhao, Jianping
2020
Application of modified homotopy perturbation method for solving the augmented systems. Zbl 1173.65024
Feng, Xinlong; He, Yinnian; Meng, Jixiang
2009
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
An additive average Schwarz method for the plate bending problem. Zbl 1077.74557
Feng, X.; Rahman, T.
2002
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
Parametric iterative methods of second-order for solving nonlinear equation. Zbl 1093.65048
Feng, Xinlong; He, Yinnian
2006
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
The local discontinuous Galerkin finite element method for a class of convection-diffusion equations. Zbl 1259.65153
Wu, Wenjuan; Feng, Xinlong; Liu, Demin
2013
An improved two-grid finite element method for the Steklov eigenvalue problem. Zbl 1443.65303
Weng, Zhifeng; Zhai, Shuying; Feng, Xinlong
2015
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 compact integrated RBF method for time fractional convection-diffusion-reaction equations. Zbl 1442.65297
Qiao, Yuanyang; Zhao, Jianping; Feng, Xinlong
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
Investigations on several high-order ADI methods for time-space fractional diffusion equation. Zbl 1433.65171
Zhai, Shuying; Weng, Zhifeng; Feng, Xinlong; Yuan, Jinyun
2019
Second order convergence of the interpolation based on $$Q_1^c$$-element. Zbl 1399.65026
He, Ruijian; Feng, Xinlong
2016
Second order time-space iterative method for the stationary Navier-Stokes equations. Zbl 1381.76177
Huang, Pengzhan; He, Yinnian; Feng, Xinlong
2016
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 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
Two-level stabilized nonconforming finite element method for the Stokes equations. Zbl 1313.76033
Su, Haiyan; 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
Numerical methods of new mixed finite element scheme for single-phase compressible flow. Zbl 1359.76191
Zhai, Shuying; Feng, Xinlong; Weng, Zhifeng
2014
A robust high-order compact method for the three dimensional nonlinear biharmonic equations. Zbl 1359.65236
Zhai, Shuying; Feng, Xinlong; He, Yinnian
2014
New predictor-corrector methods of second-order for solving nonlinear equations. Zbl 1259.65074
Wang, Kun; Feng, Xinlong
2011
Three iterative finite element methods for the stationary Smagorinsky model. Zbl 1309.76134
Su, Haiyan; Huang, Pengzhan; Wen, Juan; Feng, Xinlong
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
Modeling and numerical simulation of surfactant systems with incompressible fluid flows on surfaces. Zbl 07464741
Sun, Ming; Xiao, Xufeng; Feng, Xinlong; Wang, Kun
2022
Model order reduction method based on (r)POD-ANNs for parameterized time-dependent partial differential equations. Zbl 07562528
Cheng, Fangxiong; Xu, Hui; Feng, Xinlong
2022
Difference finite element method for the 3D steady Stokes equations. Zbl 1482.76078
Feng, Xinlong; Lu, Xiaoli; He, Yinnian
2022
Second order unconditional linear energy stable, rotational velocity correction method for unsteady incompressible magneto-hydrodynamic equations. Zbl 07487192
Zhang, Ke; Su, Haiyan; Feng, Xinlong
2022
Stabilized integrating factor Runge-Kutta method and unconditional preservation of maximum bound principle. Zbl 1486.65146
Li, Jingwei; Li, Xiao; Ju, Lili; Feng, Xinlong
2021
Unconditionally maximum bound principle preserving linear schemes for the conservative Allen-Cahn equation with nonlocal constraint. Zbl 1476.65178
Li, Jingwei; Ju, Lili; Cai, Yongyong; Feng, Xinlong
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
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
Fourth order compact FD methods for convection diffusion equations with variable coefficients. Zbl 07411664
Tong, Fenghua; Feng, Xinlong; Li, Zhilin
2021
Fully decoupled, linear and positivity-preserving scheme for the chemotaxis-Stokes equations. Zbl 07415057
Huang, Xueling; Feng, Xinlong; Xiao, Xufeng; Wang, Kun
2021
Numerical simulation of binary fluid-surfactant phase field model coupled with geometric curvature on the curved surface. Zbl 1442.76120
Sun, Ming; Feng, Xinlong; Wang, Kun
2020
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
A positivity-preserving finite volume scheme for three-temperature radiation diffusion equations. Zbl 1440.65112
Peng, Gang; Gao, Zhiming; Yan, Wenjing; Feng, Xinlong
2020
On two-level Oseen penalty iteration methods for the 2D/3D stationary incompressible magnetohydronamics. Zbl 1436.65190
Su, Haiyan; Feng, Xinlong; Zhao, Jianping
2020
Novel fractional time-stepping algorithms for natural convection problems with variable density. Zbl 1448.76145
Wu, Jilian; Wei, Leilei; Feng, Xinlong
2020
A novel cell-centered finite volume scheme with positivity-preserving property for the anisotropic diffusion problems on general polyhedral meshes. Zbl 1437.65166
Peng, Gang; Gao, Zhiming; Feng, Xinlong
2020
How to obtain an accurate gradient for interface problems? Zbl 1453.65387
Tong, Fenghua; Wang, Weilong; Feng, Xinlong; Zhao, Jianping; Li, Zhilin
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
A Petrov-Galerkin finite element method for simulating chemotaxis models on stationary surfaces. Zbl 1452.92011
Zhao, Shubo; Xiao, Xufeng; Zhao, Jianping; 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
A layers capturing type H-adaptive finite element method for convection-diffusion-reaction equations on surfaces. Zbl 1442.65399
Xiao, Xufeng; Zhao, Jianping; Feng, Xinlong
2020
Estimation of error variance via ridge regression. Zbl 1441.62187
Liu, X.; Zheng, S.; Feng, X.
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
Ensemble time-stepping algorithm for the convection-diffusion equation with random diffusivity. Zbl 1417.60057
Li, Ning; Fiordilino, Joseph; Feng, Xinlong
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
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 compact integrated RBF method for time fractional convection-diffusion-reaction equations. Zbl 1442.65297
Qiao, Yuanyang; Zhao, Jianping; Feng, Xinlong
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
Investigations on several high-order ADI methods for time-space fractional diffusion equation. Zbl 1433.65171
Zhai, Shuying; Weng, Zhifeng; Feng, Xinlong; Yuan, Jinyun
2019
Strong limit theorems for arrays of rowwise independent random variables under sublinear expectation. Zbl 1449.60047
Feng, X.; Lan, Y.
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 1471.65171
He, Ruijian; Feng, Xinlong; Chen, Zhangxin
2018
A potential flow model with viscous dissipation based on a modified boundary element method. Zbl 1404.76177
Feng, X.; Chen, Xiao-Bo; Dias, F.
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
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
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
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
The Hermitian positive definite solution of the nonlinear matrix equation. Zbl 1401.15014
Zhang, Xindong; Feng, Xinlong
2017
Local projection stabilized and characteristic decoupled scheme for the fluid-fluid interaction problems. Zbl 1397.76075
Qian, Lingzhi; Chen, Jinru; 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
Iterative methods in penalty finite element discretization for the steady MHD equations. Zbl 1423.76281
Su, Haiyan; Feng, Xinlong; Huang, Pengzhan
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
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
Convergence of the Crank-Nicolson/Newton scheme for nonlinear parabolic problem. Zbl 1363.65146
Feng, Xinlong; He, Yinnian
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
Second order convergence of the interpolation based on $$Q_1^c$$-element. Zbl 1399.65026
He, Ruijian; Feng, Xinlong
2016
Second order time-space iterative method for the stationary Navier-Stokes equations. Zbl 1381.76177
Huang, Pengzhan; He, Yinnian; 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
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
Modified method of characteristics variational multiscale finite element method for time dependent Navier-Stokes problems. Zbl 07387172
Si, Zhiyong; Wang, Yunxia; 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
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 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
Numerical methods of new mixed finite element scheme for single-phase compressible flow. Zbl 1359.76191
Zhai, Shuying; Feng, Xinlong; Weng, Zhifeng
2014
A robust high-order compact method for the three dimensional nonlinear biharmonic equations. Zbl 1359.65236
Zhai, Shuying; Feng, Xinlong; He, Yinnian
2014
Three iterative finite element methods for the stationary Smagorinsky model. Zbl 1309.76134
Su, Haiyan; Huang, Pengzhan; Wen, Juan; Feng, Xinlong
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 new coupled high-order compact method for the three-dimensional nonlinear biharmonic equations. Zbl 1304.65234
Zhai, Shuying; Feng, Xinlong
2014
Stabilized Crank-Nicolson/Adams-Bashforth schemes for phase field models. Zbl 1302.65224
Feng, Xinlong; Tang, Tao; Yang, Jiang
2013
Nonlinear stability of the implicit-explicit methods for the Allen-Cahn equation. Zbl 1273.65111
Feng, Xinlong; Song, Huailing; Tang, Tao; Yang, Jiang
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
Finite element method for two-dimensional time-fractional Tricomi-type equations. Zbl 1276.65060
Zhang, Xindong; Huang, Pengzhan; Feng, Xinlong; Wei, Leilei
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
Two-level stabilized method based on Newton iteration for the steady Smagorinsky model. Zbl 1261.35122
Huang, Pengzhan; Feng, Xinlong; Liu, Demin
2013
An analytic study on the multi-pantograph delay equations with variable coefficients. Zbl 1313.65178
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
$$H^{1}$$-stability and convergence of the FE, FV and FD methods for an elliptic equation. Zbl 1291.65342
He, Yinnian; Feng, Xinlong
2013
A quadratic equal-order stabilized finite element method for the conduction-convection equations. Zbl 1290.76064
Huang, Pengzhan; Feng, Xinlong; He, Yinnian
2013
A two-grid stabilized mixed finite element method for semilinear elliptic equations. Zbl 1426.65186
Weng, Zhifeng; 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
The local discontinuous Galerkin finite element method for a class of convection-diffusion equations. Zbl 1259.65153
Wu, Wenjuan; Feng, Xinlong; Liu, Demin
2013
Two-level stabilized nonconforming finite element method for the Stokes equations. Zbl 1313.76033
Su, Haiyan; Huang, Pengzhan; Feng, Xinlong
2013
A new mixed finite element scheme for second order elliptic eigenvalue problem. Zbl 1313.65299
Weng, Zhifeng; Haliman, Dalihan; 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
Convergence and stability of two-level penalty mixed finite element method for stationary Navier-Stokes equations. Zbl 1277.76039
Huang, Pengzhan; He, Yinnian; 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
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
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
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
...and 28 more Documents
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### Cited by 833 Authors

 80 Feng, Xinlong 44 He, Yinnian 31 Huang, Pengzhan 20 Weng, Zhifeng 17 Kim, Junseok 16 Zhai, Shuying 15 Yang, Junxiang 14 Shang, Yueqiang 14 Wang, Kun 14 Wei, LeiLei 13 Si, Zhiyong 11 Dehghan Takht Fooladi, Mehdi 11 Su, Haiyan 11 Xiao, Xufeng 10 Shi, Dongyang 10 Yuan, Jinyun 8 Zhang, Xindong 8 Zhao, Jianping 7 Jia, Hongen 7 Li, Hong 6 Abbaszadeh, Mostafa 6 Liu, Yang 6 Mei, Liquan 5 Hou, Yanren 5 Huang, Yunqing 5 Hueso, José Luis 5 Ju, Lili 5 Karniadakis, George Em 5 Li, Jingwei 5 Li, Yibao 5 Liu, Demin 5 Martínez, Eulalia 5 Pan, Kejia 5 Wang, Yunxia 5 Wen, Juan 5 Xu, Yan 4 Dong, Xiaojing 4 Fang, Zhichao 4 Gong, Yuezheng 4 Gu, Xian-Ming 4 Jiang, Nan 4 Jin, Jiaojiao 4 Lee, Chaeyoung 4 Li, Dong 4 Li, Huanrong 4 Li, Xiao 4 Qian, Yanxia 4 Qiao, Zhonghua 4 Shu, Shi 4 Sun, Haiwei 4 Tan, Zhijun 4 Tang, Tao 4 Wang, Danxia 4 Wang, Jinfeng 4 Wang, Qi 4 Yang, Huaijun 4 Yang, Jiang 4 Yue, Xiaoqiang 4 Zhang, Guodong 4 Zhao, Jia 4 Zou, Guang’an 3 An, Rong 3 Awasthi, Ashish 3 Chen, Zhangxin 3 Cordero, Alicia 3 Ding, Qianqian 3 Ercole, Grey 3 Guo, Ruihan 3 He, Ruijian 3 He, Siriguleng 3 He, Xiaoming 3 Hong, Qi 3 Huang, Jianguo 3 Huang, Qiumei 3 Itzá-Balam, Reymundo 3 Jeong, Darae 3 Kou, Jisheng 3 Lee, Hyun Geun 3 Lee, Seunggyu Lee 3 Li, Meng 3 Li, Xiaoli 3 Li, Zhilin 3 Liu, Juan 3 Lu, Xiaoli 3 Mangasarian, Olvi L. 3 Mao, Shipeng 3 Martins, Eder Marinho 3 Mohammadi, Vahid 3 Mukundan, Vijitha 3 Pani, Amiya Kumar 3 Qian, Lingzhi 3 Shen, Jie 3 Shin, Jaemin 3 Song, Fangying 3 Song, Huailing 3 Song, Zhengyuan 3 Tang, Bo 3 Temimi, Helmi 3 Torregrosa Sanchez, Juan Ramón 3 Vázquez-Leal, Héctor ...and 733 more Authors
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### Cited in 110 Serials

 45 Computers & Mathematics with Applications 43 Applied Mathematics and Computation 43 Journal of Scientific Computing 36 Journal of Computational and Applied Mathematics 32 Applied Numerical Mathematics 28 Journal of Computational Physics 20 Numerical Algorithms 15 Computer Methods in Applied Mechanics and Engineering 15 International Journal of Computer Mathematics 13 Applied Mathematical Modelling 12 Mathematics and Computers in Simulation 12 Advances in Applied Mathematics and Mechanics 10 Applied Mathematics Letters 10 Mathematical Problems in Engineering 9 Journal of Mathematical Analysis and Applications 9 Computational and Applied Mathematics 9 Communications in Computational Physics 8 Numerical Methods for Partial Differential Equations 7 Computers and Fluids 7 Calcolo 7 SIAM Journal on Scientific Computing 7 Journal of Applied Mathematics and Computing 7 International Journal of Computational Methods 6 Mathematical Methods in the Applied Sciences 6 SIAM Journal on Numerical Analysis 6 Advances in Computational Mathematics 6 Engineering Analysis with Boundary Elements 6 East Asian Journal on Applied Mathematics 5 Journal of Mathematical Chemistry 5 Advances in Difference Equations 5 Optimization Letters 4 Applications of Mathematics 4 Discrete Dynamics in Nature and Society 4 Discrete and Continuous Dynamical Systems. Series B 3 Applicable Analysis 3 Mathematics of Computation 3 Chaos, Solitons and Fractals 3 BIT 3 Journal of Computational Mathematics 3 Journal of Difference Equations and Applications 3 Communications in Nonlinear Science and Numerical Simulation 3 International Journal of Nonlinear Sciences and Numerical Simulation 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Journal of Function Spaces 3 AIMS Mathematics 2 Journal of Engineering Mathematics 2 Physica A 2 Applied Mathematics and Mechanics. (English Edition) 2 Mathematical and Computer Modelling 2 Filomat 2 Discrete and Continuous Dynamical Systems 2 Differential Equations and Dynamical Systems 2 Abstract and Applied Analysis 2 Computational Methods in Applied Mathematics 2 Journal of Applied Mathematics 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Mediterranean Journal of Mathematics 2 International Journal of Numerical Analysis and Modeling 2 Boundary Value Problems 2 Frontiers of Mathematics in China 2 Advances in Numerical Analysis 2 Journal of Mathematics 2 AMM. Applied Mathematics and Mechanics. (English Edition) 2 Communications on Applied Mathematics and Computation 1 Information Sciences 1 Journal of Differential Equations 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 Systems & Control Letters 1 Bulletin of the Iranian Mathematical Society 1 Statistics 1 Neural Networks 1 Linear Algebra and its Applications 1 International Applied Mechanics 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Turkish Journal of Mathematics 1 Complexity 1 International Journal of Computational Fluid Dynamics 1 Nonlinear Dynamics 1 Vietnam Journal of Mathematics 1 Optimization Methods & Software 1 Taiwanese Journal of Mathematics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Fractional Calculus & Applied Analysis 1 Mathematical Modelling and Analysis 1 Miscelánea Matemática 1 Kragujevac Journal of Mathematics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Entropy 1 Proceedings of Institute of Mathematics and Mechanics. National Academy of Sciences of Azerbaijan 1 Communications on Pure and Applied Analysis 1 Journal of Statistical Mechanics: Theory and Experiment 1 Journal of Fixed Point Theory and Applications 1 Asian-European Journal of Mathematics 1 Advances in Differential Equations and Control Processes 1 Advances in Mathematical Physics ...and 10 more Serials
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### Cited in 31 Fields

 517 Numerical analysis (65-XX) 282 Partial differential equations (35-XX) 196 Fluid mechanics (76-XX) 21 Real functions (26-XX) 20 Ordinary differential equations (34-XX) 20 Mechanics of deformable solids (74-XX) 18 Statistical mechanics, structure of matter (82-XX) 16 Classical thermodynamics, heat transfer (80-XX) 10 Integral equations (45-XX) 10 Optics, electromagnetic theory (78-XX) 10 Biology and other natural sciences (92-XX) 9 Probability theory and stochastic processes (60-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Operations research, mathematical programming (90-XX) 7 Approximations and expansions (41-XX) 7 Operator theory (47-XX) 7 Statistics (62-XX) 5 Computer science (68-XX) 4 Special functions (33-XX) 4 Geophysics (86-XX) 3 Systems theory; control (93-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Functional analysis (46-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Combinatorics (05-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral transforms, operational calculus (44-XX) 1 Mechanics of particles and systems (70-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)