Edit Profile Feng, Xinlong Compute Distance To: Compute Author ID: feng.xinlong Published as: Feng, X.; Feng, Xin Long; Feng, Xin-Long; Feng, Xin-long; Feng, Xinlong Documents Indexed: 151 Publications since 1990 all top 5 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 Li, Jingwei 3 Qiao, Yuanyang 3 Tang, Tao 3 Yang, Jiang 3 Yuan, Jinyun 3 Zhang, Zhinan 2 Gui, Dongwei 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 Cai, Yongyong 1 Chen, Jinru 1 Eskar, Rena 1 Fiordilino, Joseph Anthony 1 Haliman Dalihan 1 Haliman, Dalihan 1 Hu, Xiaohui 1 Ju, Lili 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 all top 5 Serials 13 Applied Mathematics and Computation 12 Applied Mathematical Modelling 10 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 123 Numerical analysis (65-XX) 73 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 100 Publications have been cited 630 times in 429 Documents Cited by ▼ Year ▼ Nonlinear stability of the implicit-explicit methods for the Allen-Cahn equation. Zbl 1273.65111Feng, Xinlong; Song, Huailing; Tang, Tao; Yang, Jiang 31 2013 Long time numerical simulations for phase-field problems using \(p\)-adaptive spectral deferred correction methods. Zbl 1327.65161Feng, Xinlong; Tang, Tao; Yang, Jiang 29 2015 An efficient algorithm for solving Troesch’s problem. Zbl 1122.65373Feng, Xinlong; Mei, Liquan; He, Guoliang 29 2007 Stabilized Crank-Nicolson/Adams-Bashforth schemes for phase field models. Zbl 1302.65224Feng, Xinlong; Tang, Tao; Yang, Jiang 28 2013 An unconditionally stable compact ADI method for three-dimensional time-fractional convection-diffusion equation. Zbl 1349.65356Zhai, Shuying; Feng, Xinlong; He, Yinnian 21 2014 The local discontinuous Galerkin finite element method for Burger’s equation. Zbl 1235.65115Shao, Long; Feng, Xinlong; He, Yinnian 20 2011 High order iterative methods without derivatives for solving nonlinear equations. Zbl 1119.65036Feng, Xinlong; He, Yinnian 17 2007 Exploratory approach to explicit solution of nonlinear evolution equations. Zbl 0962.35033Feng, X. 15 2000 A Fourier spectral method for fractional-in-space Cahn-Hilliard equation. Zbl 1443.65255Weng, Zhifeng; Zhai, Shuying; Feng, Xinlong 14 2017 Fast explicit operator splitting method and time-step adaptivity for fractional non-local Allen-Cahn model. Zbl 1446.65135Zhai, Shuying; Weng, Zhifeng; Feng, Xinlong 14 2016 Numerical simulation of the three dimensional Allen-Cahn equation by the high-order compact ADI method. Zbl 1360.35100Zhai, Shuying; Feng, Xinlong; He, Yinnian 14 2014 Finite element method for two-dimensional time-fractional Tricomi-type equations. Zbl 1276.65060Zhang, Xindong; Huang, Pengzhan; Feng, Xinlong; Wei, Leilei 12 2013 A family of fourth-order and sixth-order compact difference schemes for the three-dimensional Poisson equation. Zbl 1259.65160Zhai, Shuying; Feng, Xinlong; He, Yinnian 12 2013 Two-level stabilized method based on three corrections for the stationary Navier-Stokes equations. Zbl 1302.76103Huang, Pengzhan; Feng, Xinlong; Liu, Demin 12 2012 Numerical investigations on several stabilized finite element methods for the Stokes eigenvalue problem. Zbl 1235.74286Huang, Pengzhan; He, Yinnian; Feng, Xinlong 12 2011 A new method to deduce high-order compact difference schemes for two-dimensional Poisson equation. Zbl 1410.65420Zhai, Shuying; Feng, Xinlong; He, Yinnian 11 2014 Two-level stabilized finite element method for Stokes eigenvalue problem. Zbl 1266.65192Huang, Peng-zhan; He, Yin-nian; Feng, Xin-long 10 2012 Locally stabilized \(P_{1}\)-nonconforming quadrilateral and hexahedral finite element methods for the Stokes equations. Zbl 1233.65088Feng, Xinlong; Kim, Imbunm; Nam, Hyun; Sheen, Dongwoo 10 2011 On error estimates of the penalty method for the viscoelastic flow problem. I: Time discretization. Zbl 1201.76196Wang, Kun; He, Yinnian; Feng, Xinlong 10 2010 The rank of a random matrix. Zbl 1162.15015Feng, Xinlong; Zhang, Zhinan 10 2007 \(H^2\)-stability of the first order fully discrete schemes for the time-dependent Navier-Stokes equations. Zbl 1334.76078He, Yinnian; Huang, Pengzhan; Feng, Xinlong 9 2015 Two-level defect-correction Oseen iterative stabilized finite element methods for the stationary Navier-Stokes equations. Zbl 1351.76060Huang, Pengzhan; Feng, Xinlong; He, Yinnian 9 2013 Two-level defect-correction locally stabilized finite element method for the steady Navier-Stokes equations. Zbl 1261.35108Huang, Pengzhan; Feng, Xinlong; Su, Haiyan 9 2013 The stabilized semi-implicit finite element method for the surface Allen-Cahn equation. Zbl 1366.65091Xiao, Xufeng; Feng, Xinlong; Yuan, Jinyun 8 2017 On uniform in time \(H^2\)-regularity of the solution for the 2D Cahn-Hilliard equation. Zbl 1350.35051He, Yinnian; Feng, Xinlong 8 2016 \(P _{1}\)-nonconforming quadrilateral finite volume methods for the semilinear elliptic equations. Zbl 1255.65194Feng, Xinlong; Li, Rongfei; He, Yinnian; Liu, Demin 8 2012 On error estimates of the pressure-correction projection methods for the time-dependent Navier-Stokes equations. Zbl 1432.35168Sun, Haiyan; He, Yinnian; Feng, Xinlong 8 2011 The semi-discrete streamline diffusion finite element method for time-dependent convection-diffusion problems. Zbl 1153.65098Si, Zhiyong; Feng, Xinlong; Abduwali, Abdurishit 8 2008 Concentration of pulp fibers in 3D turbulent channel flow. Zbl 1136.76495Dong, S.; Feng, X.; Salcudean, M.; Gartshore, I. 8 2003 Unconditionally stable Gauge-Uzawa finite element schemes for incompressible natural convection problems with variable density. Zbl 1380.76132Wu, Jilian; Shen, Jie; Feng, Xinlong 7 2017 Second order fully discrete defect-correction scheme for nonstationary conduction-convection problem at high Reynolds number. Zbl 1370.65056Su, Haiyan; Feng, Xinlong; He, Yinnian 7 2017 Iterative methods in penalty finite element discretization for the steady MHD equations. Zbl 1423.76281Su, Haiyan; Feng, Xinlong; Huang, Pengzhan 7 2016 Estimation of parameters of the Makeham distribution using the least squares method. Zbl 1131.62088Feng, Xinlong; He, Guoliang; Abdurishit 7 2008 Finite volume method based on stabilized finite elements for the nonstationary Navier-Stokes problem. Zbl 1127.76036He, Guoliang; He, Yinnian; Feng, Xinlong 7 2007 RBF-based meshless local Petrov Galerkin method for the multi-dimensional convection-diffusion-reaction equation. Zbl 1404.65176Li, Jingwei; Feng, Xinlong; He, Yinnian 6 2019 Two-level penalty Newton iterative method for the 2D/3D stationary incompressible magnetohydrodynamics equations. Zbl 1397.76078Su, Haiyan; Feng, Xinlong; Zhao, Jianping 6 2017 Uniform \(H^{2}\)-regularity of solution for the 2D Navier-Stokes/Cahn-Hilliard phase field model. Zbl 1338.35085He, Yinnian; Feng, Xinlong 6 2016 A high accuracy spectral method for space-fractional diffusion equations. Zbl 1324.65133Zhai, Shuying; Gui, Dongwei; Zhao, Jianping; Feng, Xinlong 6 2014 Two-level stabilized method based on Newton iteration for the steady Smagorinsky model. Zbl 1261.35122Huang, Pengzhan; Feng, Xinlong; Liu, Demin 6 2013 A new mixed finite element method based on the Crank-Nicolson scheme for the parabolic problems. Zbl 1252.65170Weng, Zhifeng; Feng, Xinlong; Huang, Pengzhan 6 2012 An efficient two-step algorithm for the stationary incompressible magnetohydrodynamic equations. Zbl 1411.76071Wu, Jilian; Liu, Demin; Feng, Xinlong; Huang, Pengzhan 5 2017 Pressure-correction projection FEM for time-dependent natural convection problem. Zbl 1373.76106Wu, Jilian; Feng, Xinlong; Liu, Fei 5 2017 An efficient two-step algorithm for the incompressible flow problem. Zbl 1334.76080Huang, Pengzhan; Feng, Xinlong; He, Yinnian 5 2015 The characteristic finite difference streamline diffusion method for convection-dominated diffusion problems. Zbl 1236.76041Qian, Lingzhi; Feng, Xinlong; He, Yinnian 5 2012 On error estimates of the fully discrete penalty method for the viscoelastic flow problem. Zbl 1266.76032Wang, Kun; He, Yinnian; Feng, Xinlong 5 2011 On the generalized SOR-like methods for saddle point problems. Zbl 1295.65035Feng, Xin-Long; Shao, Long 5 2010 Some Uzawa-type finite element iterative methods for the steady incompressible magnetohydrodynamic equations. Zbl 1411.76078Zhu, Tielei; Su, Haiyan; Feng, Xinlong 4 2017 \(H^1\)-super-convergence of center finite difference method based on \(P_1\)-element for the elliptic equation. Zbl 1429.65268Feng, Xinlong; He, Yinnian 4 2014 An Oseen scheme for the conduction-convection equations based on a stabilized nonconforming method. Zbl 1427.65365Huang, Pengzhan; Zhao, Jianping; Feng, Xinlong 4 2014 A stabilized finite element method for the time-dependent Stokes equations based on Crank-Nicolson scheme. Zbl 1349.76221Huang, Pengzhan; Feng, Xinlong; Liu, Demin 4 2013 \(H^{1}\)-stability and convergence of the FE, FV and FD methods for an elliptic equation. Zbl 1291.65342He, Yinnian; Feng, Xinlong 4 2013 The convergence of a new parallel algorithm for the Navier-Stokes equations. Zbl 1154.65355Feng, Xinlong; He, Yinnian 4 2009 Application of homotopy perturbation method to the Bratu-type equations. Zbl 1158.34306Feng, Xinlong; He, Yinnian; Meng, Jixiang 4 2008 Parametric iterative methods of second-order for solving nonlinear equation. Zbl 1093.65048Feng, Xinlong; He, Yinnian 4 2006 Exact wave front solutions to two generalized coupled nonlinear physical equations. Zbl 0972.35525Feng, X. 4 1996 An efficient time adaptivity based on chemical potential for surface Cahn-Hilliard equation using finite element approximation. Zbl 1433.65183Zhao, Shubo; Xiao, Xufeng; Feng, Xinlong 3 2020 Optimal error estimates of penalty based iterative methods for steady incompressible magnetohydrodynamics equations with different viscosities. Zbl 1419.65123Su, Haiyan; Mao, Shipeng; Feng, Xinlong 3 2019 The lumped mass finite element method for surface parabolic problems: error estimates and maximum principle. Zbl 1419.65075Xiao, Xufeng; Feng, Xinlong; Yuan, Jinyun 3 2018 Error estimates of fully discrete finite element solutions for the 2D Cahn-Hilliard equation with infinite time horizon. Zbl 1365.65209He, Ruijian; Chen, Zhangxin; Feng, Xinlong 3 2017 New high-order compact ADI algorithms for 3D nonlinear time-fractional convection-diffusion equation. Zbl 1296.65118Zhai, Shuying; Feng, Xinlong; Weng, Zhifeng 3 2013 A quadratic equal-order stabilized finite element method for the conduction-convection equations. Zbl 1290.76064Huang, Pengzhan; Feng, Xinlong; He, Yinnian 3 2013 An analytic study on the multi-pantograph delay equations with variable coefficients. Zbl 1313.65178Feng, Xinlong 3 2013 Investigations on two kinds of two-grid mixed finite element methods for the elliptic eigenvalue problem. Zbl 1268.65157Weng, Zhifeng; Feng, Xinlong; Zhai, Shuying 3 2012 A stabilized implicit fractional-step method for the time-dependent Navier-Stokes equations using equal-order pairs. Zbl 1245.35082Feng, Xinlong; He, Yinnian; Huang, Pengzhan 3 2012 Convergence analysis of an implicit fractional-step method for the incompressible Navier-Stokes equations. Zbl 1228.76040Feng, Xinlong; He, Yinnian; Liu, Demin 3 2011 Large time-stepping method based on the finite element discretization for the Cahn-Hilliard equation. Zbl 1236.65128Yang, Yanfang; Feng, Xinlong; He, Yinnian 3 2011 Modified homotopy perturbation method for solving the Stokes equations. Zbl 1219.76034Feng, Xinlong; He, Yinnian 3 2011 Exact traveling wave solutions of some nonlinear physical models. I: The fifth order KdV type equations. Zbl 0968.35100Hu, Jianlan; Feng, X.; Li, Zhi 3 2000 Ensemble time-stepping algorithm for the convection-diffusion equation with random diffusivity. Zbl 1417.60057Li, Ning; Fiordilino, Joseph; Feng, Xinlong 2 2019 A partitioned finite element scheme based on Gauge-Uzawa method for time-dependent MHD equations. Zbl 1388.76160Zhang, Qing; Su, Haiyan; Feng, Xinlong 2 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 06864181He, Ruijian; Feng, Xinlong; Chen, Zhangxin 2 2018 Second order convergence of the interpolation based on \(Q_1^c\)-element. Zbl 1399.65026He, Ruijian; Feng, Xinlong 2 2016 Recovery-based error estimator for stabilized finite element method for the stationary Navier-Stokes problem. Zbl 1457.65217Song, Lina; Su, Haiyan; Feng, Xinlong 2 2016 Convergence of the Crank-Nicolson/Newton scheme for nonlinear parabolic problem. Zbl 1363.65146Feng, Xinlong; He, Yinnian 2 2016 A new mixed finite element method based on the Crank-Nicolson scheme for Burgers’ equation. Zbl 1399.65327Hu, Xiaohui; Huang, Pengzhan; Feng, Xinlong 2 2016 A robust high-order compact method for the three dimensional nonlinear biharmonic equations. Zbl 1359.65236Zhai, Shuying; Feng, Xinlong; He, Yinnian 2 2014 Numerical methods of new mixed finite element scheme for single-phase compressible flow. Zbl 1359.76191Zhai, Shuying; Feng, Xinlong; Weng, Zhifeng 2 2014 Acceleration of two-grid stabilized mixed finite element method for the Stokes eigenvalue problem. Zbl 1340.65257Feng, Xinlong; Weng, Zhifeng; Xie, Hehu 2 2014 A two-grid stabilized mixed finite element method for semilinear elliptic equations. Zbl 1426.65186Weng, Zhifeng; Feng, Xinlong; Liu, Demin 2 2013 The local discontinuous Galerkin finite element method for a class of convection-diffusion equations. Zbl 1259.65153Wu, Wenjuan; Feng, Xinlong; Liu, Demin 2 2013 On error estimates of the penalty method for the unsteady conduction-convention problems. I: Time discretization. Zbl 1263.76051Sun, Haiyan; He, Yinnian; Feng, Xinlong 2 2012 New predictor-corrector methods of second-order for solving nonlinear equations. Zbl 1259.65074Wang, Kun; Feng, Xinlong 2 2011 Application of modified homotopy perturbation method for solving the augmented systems. Zbl 1173.65024Feng, Xinlong; He, Yinnian; Meng, Jixiang 2 2009 An additive average Schwarz method for the plate bending problem. Zbl 1077.74557Feng, X.; Rahman, T. 2 2002 \(H^1\)-superconvergence of finite difference method based on \(Q_1\)-element on quasi-uniform mesh for the 3D Poisson equation. Zbl 1450.65137Feng, Xinlong; He, Ruijian; Chen, Zhangxin 1 2020 Numerical simulations for the chemotaxis models on surfaces via a novel characteristic finite element method. Zbl 1442.92019Xiao, Xufeng; Feng, Xinlong; He, Yinnian 1 2019 Analysis of the operator splitting scheme for the Cahn-Hilliard equation with a viscosity term. Zbl 1430.35201Weng, Zhifeng; Zhai, Shuying; Feng, Xinlong 1 2019 A new high-order compact ADI finite difference scheme for solving 3D nonlinear Schrödinger equation. Zbl 1455.65128Eskar, Rena; Huang, Pengzhan; Feng, Xinlong 1 2018 A new parallel finite element algorithm based on two-grid discretization for the generalized Stokes problem. Zbl 1401.76090Shang, Yue Qiang; He, Yin Nian; Feng, Xin Long 1 2016 Second order time-space iterative method for the stationary Navier-Stokes equations. Zbl 1381.76177Huang, Pengzhan; He, Yinnian; Feng, Xinlong 1 2016 An improved two-grid finite element method for the Steklov eigenvalue problem. Zbl 1443.65303Weng, Zhifeng; Zhai, Shuying; Feng, Xinlong 1 2015 Three iterative finite element methods for the stationary Smagorinsky model. Zbl 1309.76134Su, Haiyan; Huang, Pengzhan; Wen, Juan; Feng, Xinlong 1 2014 A new coupled high-order compact method for the three-dimensional nonlinear biharmonic equations. Zbl 1304.65234Zhai, Shuying; Feng, Xinlong 1 2014 Analysis of two-grid method for semi-linear elliptic equations by new mixed finite element scheme. Zbl 1457.65243Weng, Zhifeng; Feng, Xinlong; Zhai, Shuying 1 2013 A new mixed finite element scheme for second order elliptic eigenvalue problem. Zbl 1313.65299Weng, Zhifeng; Haliman, Dalihan; Feng, Xinlong 1 2013 Two-level stabilized nonconforming finite element method for the Stokes equations. Zbl 1313.76033Su, Haiyan; Huang, Pengzhan; Feng, Xinlong 1 2013 Error estimates for two-level penalty finite volume method for the stationary Navier-Stokes equations. Zbl 1273.76289Huang, Pengzhan; Feng, Xinlong 1 2013 A new defect-correction method for the stationary Navier-Stokes equations based on local Gauss integration. Zbl 1246.76054Huang, Pengzhan; He, Yinnian; Feng, Xinlong 1 2012 New predictor-corrector methods for solving nonlinear equations. Zbl 1204.41009Wang, Kun; Feng, Xinlong 1 2010 New decomposition and convexification algorithm for nonconvex large-scale primal-dual optimization. Zbl 0696.90053Feng, X.; Mukai, H.; Brown, R. H. 1 1990 An efficient time adaptivity based on chemical potential for surface Cahn-Hilliard equation using finite element approximation. Zbl 1433.65183Zhao, Shubo; Xiao, Xufeng; Feng, Xinlong 3 2020 \(H^1\)-superconvergence of finite difference method based on \(Q_1\)-element on quasi-uniform mesh for the 3D Poisson equation. Zbl 1450.65137Feng, Xinlong; He, Ruijian; Chen, Zhangxin 1 2020 RBF-based meshless local Petrov Galerkin method for the multi-dimensional convection-diffusion-reaction equation. Zbl 1404.65176Li, Jingwei; Feng, Xinlong; He, Yinnian 6 2019 Optimal error estimates of penalty based iterative methods for steady incompressible magnetohydrodynamics equations with different viscosities. Zbl 1419.65123Su, Haiyan; Mao, Shipeng; Feng, Xinlong 3 2019 Ensemble time-stepping algorithm for the convection-diffusion equation with random diffusivity. Zbl 1417.60057Li, Ning; Fiordilino, Joseph; Feng, Xinlong 2 2019 Numerical simulations for the chemotaxis models on surfaces via a novel characteristic finite element method. Zbl 1442.92019Xiao, Xufeng; Feng, Xinlong; He, Yinnian 1 2019 Analysis of the operator splitting scheme for the Cahn-Hilliard equation with a viscosity term. Zbl 1430.35201Weng, Zhifeng; Zhai, Shuying; Feng, Xinlong 1 2019 The lumped mass finite element method for surface parabolic problems: error estimates and maximum principle. Zbl 1419.65075Xiao, Xufeng; Feng, Xinlong; Yuan, Jinyun 3 2018 A partitioned finite element scheme based on Gauge-Uzawa method for time-dependent MHD equations. Zbl 1388.76160Zhang, Qing; Su, Haiyan; Feng, Xinlong 2 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 06864181He, Ruijian; Feng, Xinlong; Chen, Zhangxin 2 2018 A new high-order compact ADI finite difference scheme for solving 3D nonlinear Schrödinger equation. Zbl 1455.65128Eskar, Rena; Huang, Pengzhan; Feng, Xinlong 1 2018 A Fourier spectral method for fractional-in-space Cahn-Hilliard equation. Zbl 1443.65255Weng, Zhifeng; Zhai, Shuying; Feng, Xinlong 14 2017 The stabilized semi-implicit finite element method for the surface Allen-Cahn equation. Zbl 1366.65091Xiao, Xufeng; Feng, Xinlong; Yuan, Jinyun 8 2017 Unconditionally stable Gauge-Uzawa finite element schemes for incompressible natural convection problems with variable density. Zbl 1380.76132Wu, Jilian; Shen, Jie; Feng, Xinlong 7 2017 Second order fully discrete defect-correction scheme for nonstationary conduction-convection problem at high Reynolds number. Zbl 1370.65056Su, Haiyan; Feng, Xinlong; He, Yinnian 7 2017 Two-level penalty Newton iterative method for the 2D/3D stationary incompressible magnetohydrodynamics equations. Zbl 1397.76078Su, Haiyan; Feng, Xinlong; Zhao, Jianping 6 2017 An efficient two-step algorithm for the stationary incompressible magnetohydrodynamic equations. Zbl 1411.76071Wu, Jilian; Liu, Demin; Feng, Xinlong; Huang, Pengzhan 5 2017 Pressure-correction projection FEM for time-dependent natural convection problem. Zbl 1373.76106Wu, Jilian; Feng, Xinlong; Liu, Fei 5 2017 Some Uzawa-type finite element iterative methods for the steady incompressible magnetohydrodynamic equations. Zbl 1411.76078Zhu, Tielei; Su, Haiyan; Feng, Xinlong 4 2017 Error estimates of fully discrete finite element solutions for the 2D Cahn-Hilliard equation with infinite time horizon. Zbl 1365.65209He, Ruijian; Chen, Zhangxin; Feng, Xinlong 3 2017 Fast explicit operator splitting method and time-step adaptivity for fractional non-local Allen-Cahn model. Zbl 1446.65135Zhai, Shuying; Weng, Zhifeng; Feng, Xinlong 14 2016 On uniform in time \(H^2\)-regularity of the solution for the 2D Cahn-Hilliard equation. Zbl 1350.35051He, Yinnian; Feng, Xinlong 8 2016 Iterative methods in penalty finite element discretization for the steady MHD equations. Zbl 1423.76281Su, Haiyan; Feng, Xinlong; Huang, Pengzhan 7 2016 Uniform \(H^{2}\)-regularity of solution for the 2D Navier-Stokes/Cahn-Hilliard phase field model. Zbl 1338.35085He, Yinnian; Feng, Xinlong 6 2016 Second order convergence of the interpolation based on \(Q_1^c\)-element. Zbl 1399.65026He, Ruijian; Feng, Xinlong 2 2016 Recovery-based error estimator for stabilized finite element method for the stationary Navier-Stokes problem. Zbl 1457.65217Song, Lina; Su, Haiyan; Feng, Xinlong 2 2016 Convergence of the Crank-Nicolson/Newton scheme for nonlinear parabolic problem. Zbl 1363.65146Feng, Xinlong; He, Yinnian 2 2016 A new mixed finite element method based on the Crank-Nicolson scheme for Burgers’ equation. Zbl 1399.65327Hu, Xiaohui; Huang, Pengzhan; Feng, Xinlong 2 2016 A new parallel finite element algorithm based on two-grid discretization for the generalized Stokes problem. Zbl 1401.76090Shang, Yue Qiang; He, Yin Nian; Feng, Xin Long 1 2016 Second order time-space iterative method for the stationary Navier-Stokes equations. Zbl 1381.76177Huang, Pengzhan; He, Yinnian; Feng, Xinlong 1 2016 Long time numerical simulations for phase-field problems using \(p\)-adaptive spectral deferred correction methods. Zbl 1327.65161Feng, Xinlong; Tang, Tao; Yang, Jiang 29 2015 \(H^2\)-stability of the first order fully discrete schemes for the time-dependent Navier-Stokes equations. Zbl 1334.76078He, Yinnian; Huang, Pengzhan; Feng, Xinlong 9 2015 An efficient two-step algorithm for the incompressible flow problem. Zbl 1334.76080Huang, Pengzhan; Feng, Xinlong; He, Yinnian 5 2015 An improved two-grid finite element method for the Steklov eigenvalue problem. Zbl 1443.65303Weng, Zhifeng; Zhai, Shuying; Feng, Xinlong 1 2015 An unconditionally stable compact ADI method for three-dimensional time-fractional convection-diffusion equation. Zbl 1349.65356Zhai, Shuying; Feng, Xinlong; He, Yinnian 21 2014 Numerical simulation of the three dimensional Allen-Cahn equation by the high-order compact ADI method. Zbl 1360.35100Zhai, Shuying; Feng, Xinlong; He, Yinnian 14 2014 A new method to deduce high-order compact difference schemes for two-dimensional Poisson equation. Zbl 1410.65420Zhai, Shuying; Feng, Xinlong; He, Yinnian 11 2014 A high accuracy spectral method for space-fractional diffusion equations. Zbl 1324.65133Zhai, Shuying; Gui, Dongwei; Zhao, Jianping; Feng, Xinlong 6 2014 \(H^1\)-super-convergence of center finite difference method based on \(P_1\)-element for the elliptic equation. Zbl 1429.65268Feng, Xinlong; He, Yinnian 4 2014 An Oseen scheme for the conduction-convection equations based on a stabilized nonconforming method. Zbl 1427.65365Huang, Pengzhan; Zhao, Jianping; Feng, Xinlong 4 2014 A robust high-order compact method for the three dimensional nonlinear biharmonic equations. Zbl 1359.65236Zhai, Shuying; Feng, Xinlong; He, Yinnian 2 2014 Numerical methods of new mixed finite element scheme for single-phase compressible flow. Zbl 1359.76191Zhai, Shuying; Feng, Xinlong; Weng, Zhifeng 2 2014 Acceleration of two-grid stabilized mixed finite element method for the Stokes eigenvalue problem. Zbl 1340.65257Feng, Xinlong; Weng, Zhifeng; Xie, Hehu 2 2014 Three iterative finite element methods for the stationary Smagorinsky model. Zbl 1309.76134Su, Haiyan; Huang, Pengzhan; Wen, Juan; Feng, Xinlong 1 2014 A new coupled high-order compact method for the three-dimensional nonlinear biharmonic equations. Zbl 1304.65234Zhai, Shuying; Feng, Xinlong 1 2014 Nonlinear stability of the implicit-explicit methods for the Allen-Cahn equation. Zbl 1273.65111Feng, Xinlong; Song, Huailing; Tang, Tao; Yang, Jiang 31 2013 Stabilized Crank-Nicolson/Adams-Bashforth schemes for phase field models. Zbl 1302.65224Feng, Xinlong; Tang, Tao; Yang, Jiang 28 2013 Finite element method for two-dimensional time-fractional Tricomi-type equations. Zbl 1276.65060Zhang, Xindong; Huang, Pengzhan; Feng, Xinlong; Wei, Leilei 12 2013 A family of fourth-order and sixth-order compact difference schemes for the three-dimensional Poisson equation. Zbl 1259.65160Zhai, Shuying; Feng, Xinlong; He, Yinnian 12 2013 Two-level defect-correction Oseen iterative stabilized finite element methods for the stationary Navier-Stokes equations. Zbl 1351.76060Huang, Pengzhan; Feng, Xinlong; He, Yinnian 9 2013 Two-level defect-correction locally stabilized finite element method for the steady Navier-Stokes equations. Zbl 1261.35108Huang, Pengzhan; Feng, Xinlong; Su, Haiyan 9 2013 Two-level stabilized method based on Newton iteration for the steady Smagorinsky model. Zbl 1261.35122Huang, Pengzhan; Feng, Xinlong; Liu, Demin 6 2013 A stabilized finite element method for the time-dependent Stokes equations based on Crank-Nicolson scheme. Zbl 1349.76221Huang, Pengzhan; Feng, Xinlong; Liu, Demin 4 2013 \(H^{1}\)-stability and convergence of the FE, FV and FD methods for an elliptic equation. Zbl 1291.65342He, Yinnian; Feng, Xinlong 4 2013 New high-order compact ADI algorithms for 3D nonlinear time-fractional convection-diffusion equation. Zbl 1296.65118Zhai, Shuying; Feng, Xinlong; Weng, Zhifeng 3 2013 A quadratic equal-order stabilized finite element method for the conduction-convection equations. Zbl 1290.76064Huang, Pengzhan; Feng, Xinlong; He, Yinnian 3 2013 An analytic study on the multi-pantograph delay equations with variable coefficients. Zbl 1313.65178Feng, Xinlong 3 2013 A two-grid stabilized mixed finite element method for semilinear elliptic equations. Zbl 1426.65186Weng, Zhifeng; Feng, Xinlong; Liu, Demin 2 2013 The local discontinuous Galerkin finite element method for a class of convection-diffusion equations. Zbl 1259.65153Wu, Wenjuan; Feng, Xinlong; Liu, Demin 2 2013 Analysis of two-grid method for semi-linear elliptic equations by new mixed finite element scheme. Zbl 1457.65243Weng, Zhifeng; Feng, Xinlong; Zhai, Shuying 1 2013 A new mixed finite element scheme for second order elliptic eigenvalue problem. Zbl 1313.65299Weng, Zhifeng; Haliman, Dalihan; Feng, Xinlong 1 2013 Two-level stabilized nonconforming finite element method for the Stokes equations. Zbl 1313.76033Su, Haiyan; Huang, Pengzhan; Feng, Xinlong 1 2013 Error estimates for two-level penalty finite volume method for the stationary Navier-Stokes equations. Zbl 1273.76289Huang, Pengzhan; Feng, Xinlong 1 2013 Two-level stabilized method based on three corrections for the stationary Navier-Stokes equations. Zbl 1302.76103Huang, Pengzhan; Feng, Xinlong; Liu, Demin 12 2012 Two-level stabilized finite element method for Stokes eigenvalue problem. Zbl 1266.65192Huang, Peng-zhan; He, Yin-nian; Feng, Xin-long 10 2012 \(P _{1}\)-nonconforming quadrilateral finite volume methods for the semilinear elliptic equations. Zbl 1255.65194Feng, Xinlong; Li, Rongfei; He, Yinnian; Liu, Demin 8 2012 A new mixed finite element method based on the Crank-Nicolson scheme for the parabolic problems. Zbl 1252.65170Weng, Zhifeng; Feng, Xinlong; Huang, Pengzhan 6 2012 The characteristic finite difference streamline diffusion method for convection-dominated diffusion problems. Zbl 1236.76041Qian, Lingzhi; Feng, Xinlong; He, Yinnian 5 2012 Investigations on two kinds of two-grid mixed finite element methods for the elliptic eigenvalue problem. Zbl 1268.65157Weng, Zhifeng; Feng, Xinlong; Zhai, Shuying 3 2012 A stabilized implicit fractional-step method for the time-dependent Navier-Stokes equations using equal-order pairs. Zbl 1245.35082Feng, Xinlong; He, Yinnian; Huang, Pengzhan 3 2012 On error estimates of the penalty method for the unsteady conduction-convention problems. I: Time discretization. Zbl 1263.76051Sun, Haiyan; He, Yinnian; Feng, Xinlong 2 2012 A new defect-correction method for the stationary Navier-Stokes equations based on local Gauss integration. Zbl 1246.76054Huang, Pengzhan; He, Yinnian; Feng, Xinlong 1 2012 The local discontinuous Galerkin finite element method for Burger’s equation. Zbl 1235.65115Shao, Long; Feng, Xinlong; He, Yinnian 20 2011 Numerical investigations on several stabilized finite element methods for the Stokes eigenvalue problem. Zbl 1235.74286Huang, Pengzhan; He, Yinnian; Feng, Xinlong 12 2011 Locally stabilized \(P_{1}\)-nonconforming quadrilateral and hexahedral finite element methods for the Stokes equations. Zbl 1233.65088Feng, Xinlong; Kim, Imbunm; Nam, Hyun; Sheen, Dongwoo 10 2011 On error estimates of the pressure-correction projection methods for the time-dependent Navier-Stokes equations. Zbl 1432.35168Sun, Haiyan; He, Yinnian; Feng, Xinlong 8 2011 On error estimates of the fully discrete penalty method for the viscoelastic flow problem. Zbl 1266.76032Wang, Kun; He, Yinnian; Feng, Xinlong 5 2011 Convergence analysis of an implicit fractional-step method for the incompressible Navier-Stokes equations. Zbl 1228.76040Feng, Xinlong; He, Yinnian; Liu, Demin 3 2011 Large time-stepping method based on the finite element discretization for the Cahn-Hilliard equation. Zbl 1236.65128Yang, Yanfang; Feng, Xinlong; He, Yinnian 3 2011 Modified homotopy perturbation method for solving the Stokes equations. Zbl 1219.76034Feng, Xinlong; He, Yinnian 3 2011 New predictor-corrector methods of second-order for solving nonlinear equations. Zbl 1259.65074Wang, Kun; Feng, Xinlong 2 2011 On error estimates of the penalty method for the viscoelastic flow problem. I: Time discretization. Zbl 1201.76196Wang, Kun; He, Yinnian; Feng, Xinlong 10 2010 On the generalized SOR-like methods for saddle point problems. Zbl 1295.65035Feng, Xin-Long; Shao, Long 5 2010 New predictor-corrector methods for solving nonlinear equations. Zbl 1204.41009Wang, Kun; Feng, Xinlong 1 2010 The convergence of a new parallel algorithm for the Navier-Stokes equations. Zbl 1154.65355Feng, Xinlong; He, Yinnian 4 2009 Application of modified homotopy perturbation method for solving the augmented systems. Zbl 1173.65024Feng, Xinlong; He, Yinnian; Meng, Jixiang 2 2009 The semi-discrete streamline diffusion finite element method for time-dependent convection-diffusion problems. Zbl 1153.65098Si, Zhiyong; Feng, Xinlong; Abduwali, Abdurishit 8 2008 Estimation of parameters of the Makeham distribution using the least squares method. Zbl 1131.62088Feng, Xinlong; He, Guoliang; Abdurishit 7 2008 Application of homotopy perturbation method to the Bratu-type equations. Zbl 1158.34306Feng, Xinlong; He, Yinnian; Meng, Jixiang 4 2008 An efficient algorithm for solving Troesch’s problem. Zbl 1122.65373Feng, Xinlong; Mei, Liquan; He, Guoliang 29 2007 High order iterative methods without derivatives for solving nonlinear equations. Zbl 1119.65036Feng, Xinlong; He, Yinnian 17 2007 The rank of a random matrix. Zbl 1162.15015Feng, Xinlong; Zhang, Zhinan 10 2007 Finite volume method based on stabilized finite elements for the nonstationary Navier-Stokes problem. Zbl 1127.76036He, Guoliang; He, Yinnian; Feng, Xinlong 7 2007 Parametric iterative methods of second-order for solving nonlinear equation. Zbl 1093.65048Feng, Xinlong; He, Yinnian 4 2006 Concentration of pulp fibers in 3D turbulent channel flow. Zbl 1136.76495Dong, S.; Feng, X.; Salcudean, M.; Gartshore, I. 8 2003 An additive average Schwarz method for the plate bending problem. Zbl 1077.74557Feng, X.; Rahman, T. 2 2002 Exploratory approach to explicit solution of nonlinear evolution equations. Zbl 0962.35033Feng, X. 15 2000 Exact traveling wave solutions of some nonlinear physical models. I: The fifth order KdV type equations. Zbl 0968.35100Hu, Jianlan; Feng, X.; Li, Zhi 3 2000 Exact wave front solutions to two generalized coupled nonlinear physical equations. Zbl 0972.35525Feng, X. 4 1996 New decomposition and convexification algorithm for nonconvex large-scale primal-dual optimization. Zbl 0696.90053Feng, X.; Mukai, H.; Brown, R. H. 1 1990 all cited Publications top 5 cited Publications all top 5 Cited by 711 Authors 62 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 Li, Jingwei 3 Mangasarian, Olvi L. 3 Martins, Eder Marinho 3 Mohammadi, Vahid 3 Mukundan, Vijitha 3 Pan, Kejia 3 Qian, Lingzhi 3 Shen, Jie 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 Kou, Jisheng 2 Kurganov, Alexander ...and 611 more Authors all top 5 Cited in 104 Serials 41 Applied Mathematics and Computation 35 Computers & Mathematics with Applications 30 Journal of Computational and Applied Mathematics 29 Journal of Scientific Computing 23 Applied Numerical Mathematics 17 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 Communications in Nonlinear Science and Numerical Simulation 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 Discrete and Continuous Dynamical Systems. 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Mathematical, Physical and Engineering Sciences 1 SMAI Journal of Computational Mathematics ...and 4 more Serials all top 5 Cited in 31 Fields 358 Numerical analysis (65-XX) 216 Partial differential equations (35-XX) 127 Fluid mechanics (76-XX) 21 Ordinary differential equations (34-XX) 19 Mechanics of deformable solids (74-XX) 14 Real functions (26-XX) 13 Classical thermodynamics, heat transfer (80-XX) 11 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 Approximations and expansions (41-XX) 5 Optics, electromagnetic theory (78-XX) 4 Geophysics (86-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Operator theory (47-XX) 3 Calculus of variations and optimal control; optimization (49-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) Citations by Year