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冯新龙
2019-03-13 09:24   审核人:

个人简历

English Version

冯新龙 中共党员,理学博士,教授,博士生导师

通信地址: 新疆大学数学与系统科学学院  邮编:830046

Email: fxlmath@gmail.com fxlmath@xju.edu.cn

研究领域:科学计算、不确定性量化、计算流体力学、图像处理与数据分析、保险精算等

1.学习经历

1994.09-1998.07新疆大学,基础数学专业,学士学位

1998.09-2001.07新疆大学,计算数学专业,硕士学位

2003.09-2007.04西安交通大学,计算数学专业,博士学位

2. 研究工作经历

1998.09-2001.12新疆大学数学与系统科学学院,助教

2001.12-2007.09新疆大学数学与系统科学学院,讲师

2007.03-2011.07新疆大学数学学科博士后科研流动站,博士后

2007.09-2010.09新疆大学数学与系统科学学院,副教授

2009.03-2010.03韩国首尔国立大学数学系,博士后

2010.12-       新疆大学数学与系统科学学院,教授

2011.11-2013.11香港浸会大学数学系,博士后

2014.07-2014.09香港浸会大学数学系,访问研究员

2015.10-2016.02巴西巴拉那联邦大学数学系,博士后

2017.06-2017.07加拿大阿尔伯塔大学数学系,访问教授

3.学术兼职

中国准精算师(2007.03-至今)

中国核学会计算物理学会第六届理事会理事(2007.10-2016.12)

中国计算数学学会第八届、第九届理事会理事(2010.12-2019.12)

中国数学会理事(2015.10-至今)

4.获奖与荣誉

2010年获教育部霍英东教育基金高等院校青年教师奖三等奖

2013年入选教育部新世纪优秀人才支持计划

2013年入选自治区天山英才工程第二层次培养人选

2013年入选自治区杰出青年科技创新人才培养人选

2014年入选自治区国家高层次人才特殊支持计划后备人选(科技创新领军人才)

2015不可压流体动力学方程高效算法及其应用获自治区科学技术进步奖二等奖

2015自治区优秀共产党员荣誉称号

2016年获第八届新疆青年科技奖

5.主持科研项目情况

国家自然科学基金:

(1).面上项目随机相场动力学模型不确定性量化的高精度数值方法,编号:11671345,时间: 2017.01-2020.12

(2).面上项目高分子复杂流体相分离动力学的数值模拟, 编号:11271313,时间: 2013.01-2016.12

(3).地区科学基金项目三维湍流风沙运动的数值模拟研究”,编号:61163027, 时间: 2012.01-2015.12

(4).青年科学基金项目不可压粘性流动问题的分数步长方法研究”, 编号: 10901131,时间: 2010.01-2012.12

(5).天元基金项目“N-S方程隐式/显式数值格式的理论分析和算法实现”, 编号: 10726006,时间: 2008.01-2008.12

省部级:

(1).教育部新世纪优秀人才支持计划二元复杂流体相分离模型的高效算法研究,编号:NCET-13-0988,时间:2014.01-2016.12.

(2).教育部科学技术研究重点项目风沙气固两相湍流运动的数值模拟与分析,编号:212197,时间:2012.01-2014.12.

(3).自治区杰出青年自然科学基金项目复杂流体相分离的可计算建模和高效算法研究, 编号:2013711010,时间:2013.07-2016.07.

(4).自治区国家高层次人才特殊支持计划后备人选培养项目复杂流体随机动力学行为的可计算建模和高效算法研究,时间:2015.09-2016.09.

(5).自治区自然科学基金项目随机相场动力学模型与数值模拟,编号:2016D01C058,时间:2017.01-2019.12.

(6).自治区科技支撑计划项目子课题骆驼刺植被修复技术的数理模型研究,时间:2014.01-2016.12.

(7).自治区自然科学基金项目不可压缩流非协调有限元并行算法研究与软件研制”, 编号:2010211B04,时间:2010.05-2012.12.

6.人才培养

   在读研究生:肖旭峰(博三、美国北卡罗来纳大学联合培养,导师:李治林)、李精伟(博二)、娜扎开提(博一);赵书博、王韦龙、王艳清(硕三)、黄雪玲、孙婷、赵凤阳 (硕二)、孙明、金孟晴(硕一)

协助培养研究生(导师:何银年):热娜、乔远阳(博三)、彭刚(博二)、李露露(博一);平渊、李玉霞(硕三)、孙云霞、张萌(硕二)、潘建攻(硕一)

协助培养研究生(导师:李治林):仝丰华(硕一)

已培养研究生:

 宁(河南农业大学,美国匹兹堡大学联合培养,导师:William J. Layton

吴技莲(河南工业大学,美国普渡大学联合培养,导师:Jie Shen

翟术英(华侨大学,德国柏林洪堡大学联合培养,导师:Carsten Carstensen

苏海燕(新疆大学,德国柏林洪堡大学联合培养,导师:Carsten Carstensen

杜彬彬(上海交通大学博士生)

张国梁(厦门大学博士生)

申梦阳(乌鲁木齐工作,公司)

钱剑平(乌鲁木齐工作,公司)

 毅(乌鲁木齐工作,银行业)

 林(新疆师范大学)

 青(克拉玛依工作,教育行业)

 波(陕西渭南工作,银行业)

胡晓慧(克拉玛依工作,教育行业)

祖丽胡玛尔(喀什大学)

 敏(乌鲁木齐工作,银行业)

翁智峰(华侨大学、武汉大学博士)

李荣飞(克拉玛依工作,银行业)

马艳春(承德工作,教育行业)

武文娟(广州工作,教育行业)

钱凌志(石河子大学,南京师范大学博士)

 泷(乌鲁木齐工作,公务员)

7.已合作发表学术论文160余篇,其中SCI论文140余篇

详细情况参见以下链接:

http://www.researcherid.com/rid/J-6155-2012

or

https://xue.glgoo.com/citations?hl=zh-CN&user=IFsz6agAAAAJ&view_op=list_works&sortby=pubdate

or

http://scholar.google.com/citations?user=IFsz6agAAAAJ&hl=en

研究成果相继发表在SIAM Journal on Scientific Computing, Mathematics of Computation, Computer Methods in Applied Mechanics and Engineering, Journal of Computational Physics, Journal of Scientific Computing, Numerical Methods for Partial Differential Equations, Discrete and Continuous Dynamical System, International Journal of Heat and Mass Transfer 等国际期刊。

8.文章目录清单如下:

2019 (?)----

Xufeng Xiao, Jianping Zhao, and Xinlong Feng, A layers capturing type H-adaptive finite element method for convection-diffusion-reaction equations on surfaces,

Ruijian He, Xinlong Feng, and Zhangxin Chen, Superconvergence in H1-norm for a novel difference finite element method for the 3D heat equation,

Shubo Zhao, Xufeng Xiao, and Xinlong Feng, An Efficient Time Adaptivity Based on Chemical Potential for Surface Cahn-Hilliard Equation,

Jilian Wu, Leilei Wei, and Xinlong Feng, Novel fractional time-stepping technique for natural convection problems with variable density,

Haiyan Su, Jianping Zhao, and Xinlong Feng, On two-level Oseen penalty iteration methods for the 2D/3D stationary incompressible magnetohydronamics,

Lulu Li, Haiyan Su, Jianping Zhao, and Xinlong Feng, Recovery-based error estimator for the natural-convection problem based on penalized finite element method,

Gang Peng, Zhiming Gao, and Xinlong Feng, An unconditionally stable finite volume scheme for Allen-Cahn equation on polygonal grids,

Gang Peng, Zhiming Gao, and Xinlong Feng, An extremum-preserving finite volume scheme for convection-diffusion equations on polygonal meshes,

Gang Peng, Zhiming Gao, and Xinlong Feng, An extremum-preserving finite volume scheme for nonlinear parabolic problems on arbitrary grids, International Journal for Numerical Methods in Fluids

Yuan Ping, Haiyan Su, Jianping Zhao, and Xinlong Feng, Parallel two-step finite element algorithm based on fully overlapping domain decomposition for the time-dependent natural convection problem

Shubo Zhao, Xufeng Xiao, Jianping Zhao, and Xinlong Feng, A Petrov-Galerkin finite element method for simulating chemotaxis models on stationary surfaces,

Xinlong Feng, Ruijian He, and Zhangxin Chen, H1-Superconvergence for a novel finite difference splitting method based on Q1-conforming element on non-uniform meshes for the 3D Poisson equation, nmpde

Jingwei Li, Zhiming Gao, Xinlong Feng and Yinnian He, Method of Order Reduction for the High-Dimensional Convection-Diffusion -Reaction Equation with Robin Boundary Conditions Based on MQ RBF-FD,

Xufeng Xiao, Xinlong Feng, and Zhilin Li, An adaptive streamline diffusion finite element method for convection-diffusion-reaction equation on surfaces,

Jingwei Li, Lina Song, and Xinlong Feng, A novel RBF compact finite difference method for the steady Stokes equations,

Xufeng Xiao, Ruijian He, and XinlongFeng, Unconditionally maximum principle preserving finite element schemes for the surface Allen-Cahn type equations, nmpde

148 Xufeng Xiao, Zhihuan Dai, and XinlongFeng,A positivity preserving characteristic finite element method for solving the transport and convection-diffusion-reaction equations on general surfaces,

147 Yuan Ping, Haiyan Su, and Xinlong Feng, Parallel two-step finite element algorithm for the stationary incompressible magnetohydrodynamic equations, International Journal of Numerical Methods for Heat and Fluid Flow,

146 Xufeng Xiao, Yinnian He, and Xinlong Feng, Numerical simulations for the chemotaxis models on surfaces via a novel characteristic finite element method,Computers & Mathematics with Applications, 2019

145 Yuanyang Qiao, Jianping Zhao, and Xinlong Feng, A compact integrated RBF method for time fractional convection-diffusion-reaction equations, Computers & Mathematics with Applications, 2019,

144 Ning Li, Xinlong Feng, Ensemble time-stepping algorithm for the convection-diffusion equation with random diffusivity, Journal of Scientific Computing,

143 Haiyan Su, Shipeng Mao, and Xinlong Feng, Optimal error estimates of penalty based iterative methods for steady incompressible magnetohydrodynamics equations with different viscosities, Journal of Scientific Computing,

142 Jingwei Li, Yuanyang Qiao, Shuying Zhai, and Xinlong Feng, Meshless Local Petrov Galerkin Method for High-dimensional Nonlinear Convection-diffusion Equations Based on Least Square RBF Partition of Unity Method, Numerical Heat Transfer, Part B: Fundamentals, 2018: 1-15.

141 Shuying Zhai, Zhifeng Weng, Xinlong Feng, and Jinyun Yuan, Investigations on several high order ADI methods for time-space fractional diffusion equation, Numerical Algorithms, 2018: 1-38.

140 Jingwei Li, Xinlong Feng, and Yinnian He, RBF-based meshless local Petrov-Galerkin method for the multi-dimensional convection-diffusion-reaction equation, Engineering Analysis with Boundary Elements, 2019, 98: 46-53.

139 Jingwei Li, Jianping Zhao, Lingzhi Qian, and Xinlong Feng, Two-level Meshless Local Petrov Galerkin Method for Multi-dimensional Nonlinear Convection-diffusion Equation Based on Radial Basis Function, Numerical Heat Transfer, Part B: Fundamentals,

2018 (12)

138 Shubo Zhao, Xufeng Xiao, Zhijun Tan, and Xinlong Feng, Two types of spurious oscillations at layers diminishing  methods for convection-diffusion-reaction equations on surface, Numerical Heat Transfer, Part A: Applications,

137 Rena Eskar, Pengzhan Huang and Xinlong Feng, A new high-order compact ADI finite difference scheme for solving 3D nonlinear Schrödinger equation,  Advances in Difference Equations, 2018, 2018(1): 286.

136 Rena Eskar, Xinlong Feng, and Pengzhan Huang, Fourth-Order Compact Split-Step Finite Difference Method for Solving the Two and Three-Dimensional Nonlinear Schrodinger Equations, Advances in Applied Mathematics and Mechanics, 2018, 10(4): 879-895.

135 Weilong Wang, Jilian Wu, and Xinlong Feng, A novel characteristic variational multiscale FEM for incompressible natural convection problem with variable density, International Journal of Numerical Methods for Heat and Fluid Flow, 2018

134 Yanqing Wang, Haiyan Su, and Xinlong Feng, Streamline Diffusion Finite Element Method for Stationary Incompressible Natural Convection Problem, Numerical Heat Transfer, Part B: Fundamentals,

133 Guoliang Zhang, Haiyan Su, and Xinlong Feng, A novel parallel two-step algorithm based on finite element discretization for the incompressible flow problem, Numerical Heat Transfer, Part B: Fundamentals,  2018, 73(5): 329-341.

132 Weilong Wang, Jilian Wu, and Xinlong Feng, A Novel Pressure-Correction Projection Finite Element Method for Incompressible Natural Convection Problem with Variable Density, Numerical Heat Transfer, Part A: Applications, 2018, 74(2): 1001-1017.

131 Xufeng Xiao, Kun Wang, and XinlongFeng, A lifted local Galerkin method for solving the reaction-diffusion equations on implicit surfaces, Computer Physics Communications, 2018, 231: 107-113.

130 Xufeng Xiao, XinlongFeng, and JinyunYuan, The lumped mass finite element method for surface parabolic problems: error estimates and maximum principle, Computers & Mathematics with Applications, 2018, 76(3): 488-507

129 Ruijian He, Xinlong Feng, and Zhangxin Chen. H1- Superconvergence of a Difference Finite Element Method Based on the P1−P1-conforming Element on Non-uniform Meshes for the 3D Poisson Equation, Mathematics of Computation, 2018, 87(312): 1659-1688.

128 Qin Zhang, Haiyan Su, and Xinlong Feng, A partitioned finite element scheme based on Gauge-Uzawa method for time-dependent MHD equations, Numerical Algorithms, 2018, 78(1): 277-295.

127 Ning Li, HaiyanSu, DongweiGui, and Xinlong Feng, Multiquadric RBF-FD method for the convection-dominated diffusion problems base on Shishkin nodes, International Journal of Heat and Mass Transfer,  2018, 118:734-745.

2017 (18)

126 Ning Li, Zhijun Tan, and Xinlong Feng, A novel two-level discretization method for high dimensional semilinear elliptic problems base on RBF-FD scheme, Numerical Heat Transfer, Part B: Fundamentals,  2017,72(5):349-360.

125 Yuanyang Qiao, Shuying Zhai, and Xinlong Feng, RBF-FD method for the high dimensional time fractional convection-diffusion equation, International Communications in Heat and Mass Transfer, 2017, 89:230-240.

124 Jingwei Li, Shuying Zhai, Zhifeng Weng, and Xinlong Feng, H-Adaptive RBF-FD method for the high-dimensional convection -diffusion equation, International Communications in Heat and Mass Transfer, 2017, 89: 139-146.

123 Xingdong Zhang and Xinlong Feng, The Hermitian Positive Definite Solution of the Nonlinear Matrix Equation, International Journal of Nonlinear Sciences and Numerical Simulation, 2017, 18(5): 293-301.

122 Gang Peng, Jianping Zhao, and Xinlong Feng, Operator-splitting method for 2D/3D parabolic equation via finite element method, Mathematical Reports, 2017, 19(69): 381-397.

121 Xufeng Xiao, Xinlong Feng, and Jinyun Yuan, The stabilized semi-implicit finite element method for the surface Allen-Cahn equation, Discrete Contin. Dyn. Syst. Ser. B., 2017, 22(7):2857-2877.

120 Jilian Wu, Jie Shen, and Xinlong Feng. Unconditionally stable Gauge–Uzawa finite element schemes for incompressible natural convection problems with variable density, Journal of Computational Physics, 2017, 348: 776-789.

119 Jilian Wu, Xinlong Feng, and Fei Liu. Pressure-Correction Projection FEM for Time-Dependent Natural Convection Problem. Communications in Computational Physics, 21(4) (2017): 1090-1117.

118 J. Xue, D. Gui, J. Lei, H. Sun, F. Zeng, and X. Feng. A hybrid Bayesian network approach for trade-offs between environmental flows and agricultural water using dynamic discretization. Advances in Water Resources, 2017, 110:445-458.

117 Ruijian He, Zhangxin Chen, and Xinlong Feng. Error estimates of fully discrete finite element solution for the 2D Cahn-Hilliard equation with infinite time horizon. Numerical Methods for Partial Differential Equations, 2017, 33(3): 742-762.

116 Haiyan Su, Xinlong Feng, and Jianping Zhao. Two-Level Penalty Newton Iterative Method for the 2D/3D Stationary Incompressible Magnetohydrodynamics Equations. Journal of Scientific Computing, 70(3) (2017): 1144–1179

115 Haiyan Su, Xinlong Feng, and Yinnian He. Second order fully discrete defect-correction scheme for nonstationary conduction- convection problem at high Reynolds number. Numerical Methods for Partial Differential Equations, 2017, 33(3): 681-703.

114 Lingzhi Qian, Jingru Chen, and Xinlong Feng. Local projection stabilized and characteristic decoupled scheme for the fluid–fluid interaction problems. Numerical Methods for Partial Differential Equations, 2017, 33(3): 704-723.

113 Xufeng Xiao, Dongwei Gui, and Xinlong Feng. A highly efficient operator -splitting finite element method for 2D/3D nonlinear Allen-Cahn equation. International Journal of Numerical Methods for Heat and Fluid Flow. 27(2) (2017):530-542.

112 Jilian Wu, Demin Liu, Xinlong Feng, and Pengzhan Huang. An efficient two-step algorithm for the stationary incompressible magnetohydrodynamic equations. Applied Mathematics and Computation, 302(2017): 21-33.

111 Haiyan Su, Xinlong Feng, and Yinnian He. Defect-correction finite element method based on Crank-Nicolson extrapolation scheme for the transient conduction-convection problem with high Reynolds number. International Communications in Heat and Mass Transfer, 81(2017): 229-249.

110 Telei Zhu, Haiyan Su, and Xinlong Feng. Some Uzawa-type finite element iterative methods for the steady incompressible magnetohydrodynamic equations. Applied Mathematics and Computation, 302(2017): 34-47.

109 Zhifeng Weng, Shuying Zhai, and Xinlong Feng. A Fourier spectral method for fractional-in-space Cahn-Hilliard equation. Applied Mathematical Modelling, 42 (2017): 462-477.

2016 (17)

108 Lina Song, Haiyan Su, and Xinlong Feng. Recovery-based error estimator for stabilized finite element methods for the stationary Navier-Stokes problem. SIAM Journal on Scientific Computing, 38(6)(2016): A3758-A3772.  

107 Jie Xue, Dongwei Gui, Jiaqiang Lei, Xinlong Feng, et al. Reconstructing meteorological time series to quantify the uncertainties of runoff simulation in the ungauged Qira River Basin using data from multiple stations. Theoretical and Applied Climatology, 126(1-2)(2016): 61-76.

106 Jilian, Wu, Pengzhan Huang, Xinlong Feng, and Demin Liu. An efficient two-step algorithm for steady-state natural convection problem. International Journal of Heat and Mass Transfer, 101(2016): 387-398.

105 Xinlong Feng and Yinnian He. On uniform in time H2-Regularity of the solution  for the 2D Cahn-Hilliard equation. Discrete and Continuous Dynamical System – A, 36(10) (2016): 5387-5400.

104 Ruijian He and Xinlong Feng. Second order convergence of the interpolation based on Q1c–element. Numerical Mathematics: Theory, Methods and Applications, 9(4) (2016): 564-587.

103 Yinnian He and Xinlong Feng. Uniform H2-regularity of solution for the 2D Navier-Stokes/Cahn-Hilliard phase field model. Journal of Mathematical Analysis and Applications, 441(2)(2016): 815-829.  

102 Tong Zhang, Xinlong Feng, and JinyunYuan. Implicit–explicit schemes of finite element method for the non-stationary thermal convection problems with temperature-dependent coefficients. International Communications in Heat and Mass Transfer, 76(2016): 325-336.

101 Yueqiang Shang, Yinnian He and Xinlong Feng. A NEW PARALLEL FINITE ELEMENT ALGORITHM BASED ON TWO- GRID DISCRETIZATION FOR THE GENERALIZED STOKES PROBLEM. International Journal of Numerical Analysis & Modeling, 13(5) (2016): 676-688.  

100 Jie Xue, Dongwei Gui, Ying Zhao, Jiaqiang Lei, Fangjiang Zeng, Xinlong Feng, et al. A decision-making framework to model environmental flow requirements in oasis areas using Bayesian networks, Journal of Hydrology, 540 (2016):1209-1222.

99 Xinlong Feng and Yinnian He. Convergence of the Crank-Nicolson/ Newton scheme for nonlinear parabolic problem, Acta Mathematica Scientia 36(1) (2016): 124-138.

98 Haiyan Su, Xinlong Feng and Pengzhan Huang. Iterative methods in penalty finite element discretization for the steady MHD equations. Computer Methods in Applied Mechanics and Engineering, 304 (2016): 521-545.  

97 Ning Li, Jianping Zhao, Xinlong Feng, and Dongwei Gui. Generalized polynomial chaos for the convection diffusion equation with uncertainty. International Journal of Heat and Mass Transfer, 97 (2016): 289-300.

96 Shuying Zhai and Xinlong Feng. A block-centered finite-difference method for time-fractional diffusion equation on nonuniform grids. Numerical Heat Transfer, Part B: Fundamentals, 69(3)(2016): 1-17.

95 Shuying Zhai, Zhifeng Weng, and Xinlong Feng. Fast explicit operator splitting method and time-step adaptivity for fractional non-local Allen–Cahn model. Applied Mathematical Modelling, 40(2)(2016): 1315-1324.  

94 Shuying Zhai and Xinlong Feng. Investigations on several compact ADI methods for the 2D time fractional diffusion equation. Numerical Heat Transfer, Part B: Fundamentals, 69 (4) (2016):364-376.  

93 Xiaohui Hu, Pengzhan Huang, and Xinlong Feng. A new mixed finite element method based on the Crank-Nicolson scheme for Burgers' equation. Applications of Mathematics, 61(1) (2016): 27-45.

92 Pengzhan Huang, Yinnian He, and Xinlong Feng. Second order time- space iterative method for the stationary Navier-Stokes equations. Applied Mathematics Letters, 59(2016): 79-86.

2015 (19)

91 Xinlong Feng, Tao Tang, and Jiang Yang. Long time numerical simulations for phase-field problems using p-adaptive spectral deferred correction methods. SIAM Journal on Scientific Computing, 37(1) (2015): A271-A294.

90 Shuying Zhai, Zhifeng Weng, and Xinlong Feng. An adaptive local grid refinement method for 2D diffusion equation with variable coefficients based on block-centered finite differences. Applied Mathematics and Computation, 268 (2015): 284-294.

89 Jie Xue, Dongwei Gui, Ying Zhao, Jiaqiang Lei, Xinlong Feng, et al. Quantification of Environmental Flow Requirements to Support Ecosystem Services of Oasis Areas: A Case Study in Tarim Basin, Northwest China. Water, 7(10) (2015): 5657-5675.  

88 Lingzhi Qian, Huiping Cai, Xinlong Feng, and Dongwei Gui. The characteristic subgrid artificial viscosity stabilized finite element method for the nonstationary Navier–Stokes equations. International Communications in Heat and Mass Transfer, 65 (2015): 37-46.  

87 Shuying Zhai, Leilei Wei, Langyang Huang, and Xinlong Feng. An Efficient Algorithm with High Accuracy for Time-Space Fractional Heat Equations. Numerical Heat Transfer, Part B: Fundamentals, 67(6) (2015): 550-562.  

86 Zhifeng Weng, Shuying Zhai, and Xinlong Feng. An improved two-grid finite element method for the Steklov eigenvalue problem. Applied Mathematical Modelling, 39(10) (2015): 2962-2972.  

85 Pengzhan Huang, Xinlong Feng, and Yinnian He. An efficient two-step algorithm for the incompressible flow problem. Advances in Computational Mathematics, 41(6) (2015): 1059-1077.  

84 Jilian Wu, Dongwei Gui, Demin Liu, and Xinlong Feng. The characteristic variational multiscale method for time dependent conduction–convection problems. International Communications in Heat and Mass Transfer, 68 (2015): 58-68.

83 Zhiyong Si, Yunxia Wang, and Xinlong Feng. Modified Method of Characteristics Variational Multiscale Finite Element Method for Time Dependent Navier-Stokes Problems. Mathematical Modelling and Analysis, 20(5) (2015): 658-680.

82 Shuying Zhai, Dongwei Gui, Pengzhan Huang, Xinlong Feng. A novel high-order ADI method for 3D fractional convection–diffusion equations. International Communications in Heat and Mass Transfer, 66 (2015): 212-217.

81 Ning Li, Bo Meng, Xinlong Feng, and Dongwei Gui. A Numerical Comparison of Finite Difference and Finite Element Methods for a Stochastic Differential Equation with Polynomial Chaos. East Asian Journal on Applied Mathematics, 5(2) (2015): 192-208.  

80 Shuying Zhai, Zhifeng Weng, and Xinlong Feng. Investigations on several numerical methods for the non-local Allen–Cahn equation. International Journal of Heat and Mass Transfer, 87 (2015): 111-118.  

79 Shuying Zhai, Zhifeng Weng, Dongwei Gui and Xinlong Feng. High-order compact operator splitting method for three-dimensional fractional equation with subdiffusion. International Journal of Heat and Mass Transfer, 84 (2015): 440-447.

78 Shuying Zhai, Lingzhi Qian, Dongwei Gui and Xinlong Feng. A block-centered characteristic finite difference method for convection -dominated diffusion equation. International Communications in Heat and Mass Transfer, 61 (2015): 1-7.  

77 Binbin Du, Haiyan Su, and Xinlong Feng. Two-level variational multiscale method based on the decoupling approach for the natural convection problem. International Communications in Heat and Mass Transfer, 61 (2015): 128-139.  

76 Yinnian He, Pengzhan Huang, and Xinlong Feng. H2-Stability of the First Order Fully Discrete Schemes for the Time-Dependent Navier –Stokes Equations. Journal of  Scientific Computing, 62(1)(2015): 230 -264.  

75 Jilian Wu, Pengzhan Huang, and Xinlong Feng. A New Variational Multiscale FEM for the Steady-State Natural Convection Problem with Bubble Stabilization. Numerical Heat Transfer, Part A: Applications, 68(7) (2015): 777-796.  

74 Pengzhan Huang, Jianping Zhao, and Xinlong Feng. Highly efficient and local projection-based stabilized finite element method for natural convection problem. International Journal of Heat and Mass Transfer, 83 (2015): 357-365.

73 Ning Li, Bo Meng, Dongwei Gui, and Xinlong Feng. The Spectral Collocation Method for the Stochastic Allen-Cahn Equation via Generalized Polynomial Chaos. Numerical Heat Transfer, Part B: Fundamentals, 68(1) (2015): 11-29.  

2014 (17)

72 Shuying Zhai, Xinlong Feng, and Yinnian He. A robust high-order compact method for the three dimensional nonlinear biharmonic equations. International Journal of Computational Methods, 11(4) (2014): 1350065.  

71 Xinlong Feng and Yinnian He. H1-Super-convergence of center finite difference method based on P1-element for the elliptic equation. Applied Mathematical Modelling, 38(23) (2014): 5439-5455.  

70 Xinlong Feng, Zhifeng Weng, and Hehu Xie. Acceleration of two-grid stabilized mixed finite element method for the Stokes eigenvalue problem. Applications of Mathematics, 59(6) (2014): 615-630.  

69 Shuying Zhai, Xinlong Feng, and Yinnian He. An unconditionally stable compact ADI method for three-dimensional time-fractional convection–diffusion equation. Journal of Computational Physics, 269 (2014): 138-155.  

68 Shuying Zhai, Xinlong Feng, and Yinnian He. Numerical simulation of the three dimensional Allen–Cahn equation by the high-order compact ADI method. Computer Physics Communications, 185(10) (2014): 2449 -2455.

67 Shuying Zhai, Xinlong Feng, and Yinnian He. A New High-Order Compact ADI Method for 3-D Unsteady Convection-Diffusion Problems with Discontinuous Coefficients. Numerical Heat Transfer, Part B: Fundamentals, 65(4) (2014): 376-391.

66 Haiyan Su, Pengzhan Huang, Juan Wen, and Xinlong Feng. Three Iterative Finite Element Methods for the Stationary Smagorinsky Model. East Asian Journal on Applied Mathematics 4(2) (2014): 132-151.  

65 Shuying Zhai and Xinlong Feng. A new coupled high-order compact method for the three-dimensional nonlinear biharmonic equations. International Journal of Computer Mathematics, 91(10) (2014): 2307-2325.  

64 Shuying Zhai, Xinlong Feng, and Yinnian He. A new method to deduce high-order compact difference schemes for two-dimensional Poisson equation.Applied Mathematics and Computation, 230 (2014): 9-26.

63 Xiaohui Hu, Pengzhan Huang, and Xinlong Feng. Two-Grid Method for Burgers’ Equation by a New Mixed Finite Element Scheme. Mathematical Modelling and Analysis, 19(1) (2014): 1-17.  

62 Shuying Zhai, Dongwei Gui, Jianping Zhao, and Xinlong Feng. High accuracy spectral method for the space-fractional diffusion equations. J. Math. Study, 47(3) (2014): 274-286.

61 Pengzhan Huang, Jianping Zhao, and Xinlong Feng. An Oseen scheme for the conduction–convection equations based on a stabilized nonconforming method. Applied Mathematical Modelling, 38(2)(2014): 535-547.  

60 Haiyan Su, Jianping Zhao, Dongwei Gui, and Xinlong Feng. Two-level defect-correction Oseen iterative stabilized finite element method for the stationary conduction–convection equations.International Communications in Heat and Mass Transfer, 56 (2014): 133-145.  

59 Haiyan Su, Lingzhi Qian, Dongwei Gui, and Xinlong Feng. Second order fully discrete and divergence free conserving scheme for time- dependent conduction–convection equations. International Communications in Heat and Mass Transfer, 59 (2014): 120-129.  

58 Haiyan Su, Dongwei Gui, Pengzhan Huang, and Xinlong Feng. Two-Level Stabilized, Nonconforming Finite-Element Algorithms for the Stationary Conduction -Convection Equations. Numerical Heat Transfer, Part B: Fundamentals, 66(3) (2014): 211-242.  

57 Lingzhi Qian, Huiping Cai, Rui Guo, and Xinlong Feng. The characteristic variational multiscale method for convection-dominated convection–diffusion –reaction problems. International Journal of Heat and Mass Transfer, 72 (2014): 461-469.    

56 Shuying Zhai, Xinlong Feng, and Zhifeng Weng. Numerical methods of new mixed finite element scheme for single-phase compressible flow. International Journal of Computational Methods, 11(1) (2014): 1350055.  

2013 (21)

55 Pengzhang Huang, Yinnian He, Xinlong Feng, Convergence and stability of two-level penalty mixed finite element method for stationary Navier-Stokes equations, Frontiers of Mathematics in China, 8(4): 837-854.

54 Xinlong Feng, Huailing Song, Tao Tang, and Jiang Yang. Nonlinear stability of the implicit-explicit methods for the Allen-Cahn equation. Inverse Problems and Imaging, 7(3) (2013): 679-695.

53 Xinlong Feng, Tao Tang, and Jiang Yang. Stabilized Crank-Nicolson/ Adams- Bashforth schemes for phase field models. East Asian J. Appl. Math, 3 (2013): 59-80.  

52 Xinlong Feng. An analytic study on the multi-pantograph delay equations with variable coefficients. Bull. Math. Soc. Sci. Math. Roumanie, 56(2) (2013): 205-215.

51 Haiyan Su, Pengzhan Huang, and Xinlong Feng. Two-level stabilized nonconforming finite element method for the Stokes equations. Applications of Mathematics, 58(6) (2013): 643-656.

50 Zhifeng Weng, Xinlong Feng, and Demin Liu. A two-grid stabilized mixed finite element method for semilinear elliptic equations. Applied Mathematical Modelling, 37(10) (2013): 7037-7046.

49 Zhifeng Weng, Xinlong Feng, and Shuying Zhai. Analysis of two-grid method for semi-linear elliptic equations by new mixed finite element scheme. Applied Mathematics and Computation, 219(9) (2013): 4826- 4835.

48 Wenjuan Wu, Xinlong Feng, and Demin Liu. The local discontinuous Galerkin finite element method for a class of convection–diffusion equations. Nonlinear Analysis: Real World Applications, 14(1) (2013): 734-752.  

47 Jilian Wu, Pengzhan Huang, and Xinlong Feng. Numerical Study on Several Stabilized Finite Element Methods for the Steady Incompressible Flow Problem with Damping. Journal of Applied Mathematics, 2013 (2013).  

46 Pengzhan Huang and Xinlong Feng. Error estimates for two‐level penalty finite volume method for the stationary Navier–Stokes equations. Mathematical Methods in the Applied Sciences, 36(14)(2013): 1918- 1928.

45 Yinnian He and Xinlong Feng. H1 Stability and Convergence of the FE, FV and FD Methods for an Elliptic Equation. East Asian Journal on Applied Mathematics, 3(2) (2013): 154-170.

44 Pengzhan Huang, Xinlong Feng, and Demin Liu. A stabilized finite element method for the time-dependent Stokes equations based on Crank–Nicolson scheme. Applied Mathematical Modelling, 37(4) (2013): 1910-1919.

43 Shuying Zhai, Xinlong Feng, and Zhifeng Weng. New high-order compact adi algorithms for 3D nonlinear time-fractional convection-diffusion equation. Mathematical Problems in Engineering, 2013 (2013).

42 Pengzhan Huang, Xinlong Feng, and Demin Liu. Two-level stabilized method based on Newton iteration for the steady Smagorinsky model. Nonlinear Analysis: Real World Applications, 14(3) (2013): 1795-1805.

41 Xindong Zhang, Pengzhan Huang, Xinlong Feng and Leilei Wei. Finite element method for two-dimensional time-fractional tricomi-type equations. Numerical Methods for Partial Differential Equations, 29(4) (2013): 1081-1096.

40 Zhifeng Weng, Xinlong Feng, and Demin Liu. A fully discrete stabilized mixed finite element method for parabolic problems. Numerical Heat Transfer, Part A: Applications, 63(10) (2013): 755-775.

39 Shuying Zhai, Xinlong Feng, and Yinnian He. A family of fourth-order and sixth-order compact difference schemes for the three-dimensional Poisson equation. Journal of Scientific Computing, 54(1) (2013): 97-120.

38 Pengzhan Huang, Xinlong Feng,and Yinnian He. Two-level defect- correction Oseen iterative stabilized finite element methods for the stationary Navier–Stokes equations. Applied Mathematical Modelling, 37(3) (2013): 728-741.

37 Pengzhan Huang, Xinlong Feng, and Haiyan Su. Two-level defect-correction locally stabilized finite element method for the steady Navier–Stokes equations. Nonlinear Analysis: Real World Applications, 14(2) (2013): 1171-1181.

36 Pengzhan Huang, Xinlong Feng, and Yinnian He. A quadratic equal-order stabilized finite element method for the conduction -convection equations. Computers & Fluids, 86 (2013): 169-176.  

35 Shuying Zhai, Xinlong Feng, and Demin Liu. A novel method to deduce a high-order compact difference scheme for the three-dimensional semilinear convection-diffusion equation with variable coefficients. Numerical Heat Transfer, Part B: Fundamentals, 63(5) (2013): 425-455.

2012 (10)

34 Xinlong Feng, Rongfei Li, Yinnian He, and Demin Liu. P1-Nonconforming quadrilateral finite volume methods for the semilinear elliptic equations. Journal of Scientific Computing, 52(3)(2012): 519-545.

33 Xinlong Feng, Yinnian He, and Pengzhan Huang. A stabilized implicit fractional-step method for the time-dependent Navier–Stokes equations using equal-order pairs. Journal of Mathematical Analysis and Applications, 392(2) (2012): 209-224.

32 Pengzhan Huang, Yinnian He, and Xinlong Feng. Two-level stabilized finite element method for Stokes eigenvalue problem. Applied Mathematics and Mechanics, 33 (2012): 621-630.

31 Pengzhan Huang, Yinnian He, and Xinlong Feng. A new defect- correction method for the stationary Navier–Stokes equations based on local Gauss integration. Mathematical Methods in the Applied Sciences, 35(9) (2012): 1033-1046.

30 Haiyan Sun, Yinnian He, and Xinlong Feng. On error estimates of the penalty method for the unsteady conduction-convection problem I: time discretization. International Journal of Numerical Analysis & Modeling, 9(4) (2012): 876-891.

29 Zhifeng Weng, Xinlong Feng, and Shuying Zhai. Investigations on two kinds of two -grid mixed finite element methods for the elliptic eigenvalue problem. Computers & Mathematics with Applications, 64(8) (2012): 2635-2646.

28 Pengzhan Huang, Xinlong Feng,and Demin Liu. A stabilised nonconforming finite element method for steady incompressible flows. International Journal of Computational Fluid Dynamics, 26(2) (2012): 133-144.

27 Lingzhi Qian, Xinlong Feng, and Yinnian He. The characteristic finite difference streamline diffusion method for convection-dominated diffusion problems. Applied Mathematical Modelling, 36(2)(2012):561 -572.

26 Zhifeng Weng, Xinlong Feng, and Pengzhan Huang. A new mixed finite element method based on the Crank–Nicolson scheme for the parabolic problems. Applied Mathematical Modelling, 36(10)(2012): 5068-5079.

25 Pengzhan Huang, Xinlong Feng, and Demin Liu. Two-level stabilized method based on three corrections for the stationary Navier–Stokes equations. Applied Numerical Mathematics, 62(8) (2012): 988-1001.

2011 (10)

24 Xinlong Feng, Yinnian He, and Demin Liu. Convergence analysis of an implicit fractional-step method for the incompressible Navier–Stokes equations. Applied Mathematical Modelling, 35(12) (2011): 5856-5871.

23 Xinlong Feng, Imbunm Kim, Hyun Nam and Dongwoo Sheen. Locally stabilized P1-nonconforming quadrilateral and hexahedral finite element methods for the Stokes equations. Journal of Computational and Applied Mathematics, 236(5) (2011): 714-727.

22 Xinlong Feng and Yinnian He. Modified homotopy perturbation method for solving the Stokes equations. Computers & Mathematics with Applications, 61(8) (2011): 2262-2266.

21 Shaoli Wang, Xinlong Feng, and Yinnian He. Global asymptotical properties for a diffused HBV infection model with CTL immune response and nonlinear incidence. Acta Mathematica Scientia, 31(5) (2011): 1959-1967.

20 Kun Wang and Xinlong Feng. New predictor–corrector methods of second-order for solving nonlinear equations. International Journal of Computer Mathematics, 88(2) (2011): 296-313.

19 Long Shao, Xinlong Feng, and Yinnian He. The local discontinuous Galerkin finite element method for Burger’s equation. Mathematical and Computer Modelling, 54(11) (2011): 2943-2954.

18 Pengzhan Huang, Yinnian He, and Xinlong Feng. Numerical investigations on several stabilized finite element methods for the Stokes eigenvalue problem. Mathematical Problems in Engineering , 2011 (2011).

17 Haiyan Sun, Yinnian He, and Xinlong Feng. On error estimates of the pressure-correction projection methods for the time-dependent Navier-Stokes equations. International Journal of Numerical Analysis & Modeling, 8(1) (2011): 70-85.

16 Kun Wang, Yinnian He, and Xinlong Feng. On error estimates of the fully discrete penalty method for the viscoelastic flow problem. International Journal of Computer Mathematics, 88(10) (2011): 2199-2220.

15 Yanfang Yang, Xinlong Feng, and Yinnian He. Large time-stepping method based on the finite element discretization for the Cahn-Hilliard equation. Journal of Applied Mathematics & Informatics, 29(5-6) (2011): 1129-1141.

2010 (3)

14 Xinlong Feng and Long Shao. On the generalized SOR-like methods for saddle point problems. Journal of Applied Mathematics & Informatics, 28(3-4 )(2010): 663-677.

13 Kun Wang and Xinlong Feng. New predictor-corrector methods for solving nonlinear equations. Journal of Applied Mathematics and Computing, 34(1-2) (2010): 299-315.

12 Kun Wang, Yinnian He, and Xinlong Feng. On error estimates of the penalty method for the viscoelastic flow problem I: Time discretization. Applied Mathematical Modelling, 34(12)(2010):4089- 4105.

2009 (2)

11 Xinlong Feng, Yinnian He, and Jixiang Meng. Application of modified homotopy perturbation method for solving the augmented systems. Journal of Computational and Applied Mathematics, 231(1) (2009): 288-301.

10 Xinlong Feng, and Yinnian He. The convergence of a new parallel algorithm for the Navier–Stokes equations. Nonlinear Analysis: Real World Applications, 10(1) (2009): 23-41.

2008 (4)

9 Xinlong Feng, Yinnian He, and Jixiang Meng. Application of homotopy perturbation method to the Bratu-type equations. Topological Methods in Nonlinear Analysis, 31(2) (2008): 243-252.

8 Xinlong Feng, Guoliang He, and Abdurishit Abduwali. Estimation of parameters of the Makeham distribution using the least squares method. Mathematics and Computers in Simulation, 77(1) (2008): 34-44.

7 Xinlong Feng, Yinnian He, and Zhinan Zhang. The numerical rank of a matrix and its applications. Applied Mathematics and Computation, 196(1) (2008): 416-421.

6 Zhiyong Si, Xinlong Feng, and Abdurishit Abduwali. The semi-discrete streamline diffusion finite element method for time-dependented convection–diffusion problems. Applied Mathematics and Computation, 202(2) (2008): 771-779.

2007 (4)

5 Xinlong Feng, Liquan Mei, and Guoliang He. An efficient algorithm for solving Troesch’s problem. Applied Mathematics and Computation, 189(1) (2007): 500-507.

4 Xinlong Feng and Zhinan Zhang. The rank of a random matrix. Applied mathematics and computation, 185(1) (2007): 689-694.

3 Xinlong Feng and Yinnian He. High order iterative methods without derivatives for solving nonlinear equations. Applied Mathematics and Computation, 186(2) (2007): 1617-1623.

2 Guoliang He, Yinnian He, and Xinlong Feng. Finite volume method based on stabilized finite elements for the nonstationary Navier-Stokes problem. Numerical Methods for Partial Differential Equations, 23(5) (2007): 1167-1191.

2006 (1)

1 Xinlong Feng and Yinnian He. Parametric iterative methods of second -order for solving nonlinear equation. Applied Mathematics and Computation, 173(2) (2006): 1060-1067.

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