厦门大学数学科学学院信息与计算数学系导师介绍：庄平辉
作者：聚创厦大考研网-小厦老师
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发布时间： 2018-08-10 14:17
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简介
系别：
信息与计算数学系
办公室：651
教师：庄平辉
职称：教授
职务：教师
Phone：18959285820
Email：
zxy1104@xmu.edu.cn
研究方向：
微分方程数值方法及其理论分析,分数阶微分方程
庄平辉, 信息与计算数学系教授, 硕士生导师.
学习工作经历：
1978-1982: 福州大学计算机科学系计算数学专业，获学士学位；
1985-1988: 福州大学计算机科学系计算数学专业，获硕士学位；
2005-2008: 厦门大学数学科学学院计算数学专业，获博士学位；
2006年6月-2006年9月：澳大利亚昆士兰理工大学，访问学者；
2009年7月-2009年12月：澳大利亚昆士兰理工大学，访问学者；
2014年7月-2014年10月：澳大利亚昆士兰理工大学，访问学者；
1982年-1985年 石油大学计算机科学系，助教；
1988年4月至今：厦门大学数学科学学院，1988年晋升讲师，1998年晋升副教授。2012年晋升教授
教学简介
主讲过的课程：
数学分析，数值逼近，数值代数，计算方法，高级语言程序设计，计算机实用技术，数据库管理，Visual Basic程序设计，高等数学，线性代数，Matlab基础等。
编写的教材：
[1]《高等数学精品课堂》（上，下册），林建华，庄平辉，林应标编著，厦门大学出版社出版，2007年11月。
[2]《高等数学》（上，下册），林建华，杨世廞，高琪仁，许清泉，庄平辉，林应标编，北京大学出版社，2010-2011.
[3]《高等数学学习指导》（上，下册），林建华，杨世廞，高琪仁，许清泉，庄平辉，林应标编，厦门大学出版社，2011-2012.
获得的教学表彰和奖励：
2009年厦门大学工商银行奖（教学类）。
科研简介
研究领域：
微分方程数值方法及其理论分析，分数阶微分方程
基金项目：
[1]非结构网格谱元法及其应用，国家自然科学基金面上项目（11071203），项目组主要成员，2011-2013.
[2] 分数阶扩散方程的数值方法及其理论分析，福建省自然科学基金，项目主持者，2005-2007.
[3] 奇异摄动偏微分方程问题的数值方法及其应用，国家自然科学基金（10271098），项目组主要成员， 2003.1-2005.12.
[4]谱元法湍流大涡模拟，国家自然科学基金, 项目组成员，2002.1-2004.12
[5] 非线性发展方程及其科学计算，国家自然科学基金，项目组成员，1998.1-2000.12
近年来发表的主要学术论文：
[1]Feng, LB; Liu, FW , Turner, I; Zhuang, PH, Numerical methods and analysis for simulating the flow of a generalized Oldroyd-B fluid between two infinite parallel rigid plates, International Joubnal of Heat and Mass Transfer, 115 B, 2017, 1309-1320.
[2]L. B. Feng，P.Zhuang，F.Liu，I.Turner，V.Anh，J.Li，A fast second-order accurate method for a two-sided
space-fractional diffusion equation with variable coefficients，Computers and Mathematics with Applications，73，2017，1155–1171.
[3]P. Zhuang，F. Liu ，I. Turner，V. Anh，Galerkin finite element method and error analysis for the fractional cable equation，Numerical Algorithms, 72，2016，447–466.
[4]L. B. Feng，P. Zhuang，F. Liu , I. Turner，Y. T. Gu，Finite element method for space-time fractional diffusion equation，Numerical Algorithms, 72，2016，749–767.
[5]F. Liu, P. Zhuang, I.Turner, V. Anh, K.Burrage, A semi-alternating direction method for a 2-D fractional FitzHugh–Nagumo monodomain model on an approximate irregular domain, Journal of Computational Physics,293, 2015, 252-263.
[6]L.B. Feng, P. Zhuang, F. Liu, I. Turner, Stability and convergence of a new finite volume method for a two-sided space-fractional diffusion equation, Applied Mathematics and Computation, 257, 2015, 52–65
[7]Q. Liu, F. Liu, Y.T. Gu, P. Zhuang, J. Chen, I. Turner, A meshless method based on Point Interpolation Method (PIM) for the space fractional diffusion equation, Applied Mathematics and Computation, 256, 2015 930–938
[8]Libo Feng, Pinghui Zhuang, Fawang Liu, Ian Turner and Qianqian Yang, Second-Order Approximation for the Space Fractional Diffusion Equation with Variable Coefficient, Progress in Fractional Differentiation and Applications, 1(1), 2015, 23-35
[9]P. Zhuang, F. Liu, I. Turner, Y.T. Gu, Finite volume and ?nite element methods for solving a one-dimensional space-fractional Boussinesq equation, Applied Mathematical Modelling, 38, 2014, 3860–3870
[10]F. Liu, P. Zhuang, I. Turner, K. Burrage, V. Anh, A new fractional ?nite volume method for solving the fractional diffusion equation, Applied Mathematical Modelling, 38, 2014, 3871–3878
[11]H. Zhang, F. Liu, P. Zhuang, I. Turner, V. Anh, Numerical analysis of a new space–time variable fractional order advection–dispersion equation, Applied Mathematics and Computation, 242, 2014, 541–550
[12]Fawang Liu, Mark M. Meerschaert, Robert J. McGough, Pinghui Zhuang, Qingxia Liu, Numerical methods for solving the multi-term time-fractional wave-diffusion equation, Fractional Calculus and Applied Analysis，16(1)，2013，9-25
[13]F. Liu, P. Zhuang and K. Burrage, Numerical methods and analysis for a class of fractional advection–dispersion models, Computers & Mathematics with Applications, 64(10), 2012, 2990–3007.
[14]Y. T. Gu and P. Zhuang, Anomalous sub-diffusion equations by the meshless collocation method, Australian Journal of Mechanical Engineering, 10(1), 2012, 1 - 8.
[15] P. Zhuang, Y. T. Gu, F. Liu, I. Turner and P. K. D. V. Yarlagadda, Time-dependent fractional advection–diffusion equations by an implicit MLS meshless method, International Journal for Numerical Methods in Engineering, Vol. 88, 13(2012),1346–1362.
[16]Q. Liu, Y. T. Gu, P. Zhuang, F. Liu and Y. Nie, An implicit RBF meshless approach for time fractional diffusion equations, Computational Mechanics, 48(2011), 1-12.
[17]Y.T. Gu, P. Zhuang and Q. Liu, An advanced meshless method for time fractional diffusion equation, International Journal of Computational Methods, 8(4) (2011), 653-665.
[18]Y. T. Gu, P. Zhuang and F. Liu, An Advanced Implicit Meshless Approach for the Non-Linear Anomalous Subdiffusion Equation, Computer Modeling in Engineering & Sciences, 56(3)(2010), 303-334.
[19]Ping-Hui Zhuang and Qing-Xia LIU, Numerical method of Rayleigh-Stokes problem for heated generalized second grade fluid with fractional derivative, Applied Mathematics and Mechanics, 30(12)(2009), 1533-1546.
[20]P. Zhuang, F. Liu, V. Anh and I. Turner, Stability and convergence of an implicit numerical method for the nonlinear fractional reaction-subdiffusion process, IMA Journal of Applied Mathematics, 74(2009), 645-667.
[21]P. Zhuang, F. Liu, V. Anh and I. Turner, Numerical methods for the variable-order fractional advection-diffusion equation with a nonlinear source term, SIAM J. on Numerical Analysis, 47(3)(2009)，1760-1781.
[22]S. Chen, F. Liu, P. Zhuang and V. Anh, Finite difference approximations for the fractional Fokker-Planck equation, Applied Mathematical Modelling, 33 (2009) , 256-273.
[23]P. Zhuang, F. Liu, V. Anh and I. Turner, New solution and analytical techniques of the implicit numerical methods for the anomalous sub-diffusion equation, SIAM J. on Numerical Analysis, 46(2) (2008) ,1079-1095.
[24]F. Liu, P. Zhuang, V. Anh, I. Turner and K. Burrage , Stability and Convergence of the difference Methods for the space-time fractional advection-diffusion equation, Applied Mathematics and Computation, 91, (2007), 12-20.
[25]P. Zhuang and F. Liu, Finite difference approximation for two-dimensional time fractional diffusion equation, J. Algorithms & Computational Technology, 1 (2007), 1-15.
[26]P. Zhuang and F. Liu, Implicit difference approximation for the two-dimensional space-time fractional diffusion equation, J. Appl. Math. Computing, 25(2007), 269-282.
[27]P. Zhuang, F. Liu, I. Turner and V. Anh, Numerical Treatment for the Fractional Fokker-Planck Equation, ANZIAM J., 48 (2007), 759-774.
[28] Y. Lin, P. Zhuang and F. Liu, Fractional high order approximation for the system of the nonlinear fractional ordinary differential equations, Journal of Xiamen University(NATURAL Science), 6 (2007), 765-769.
[29]J. Song, F. Liu and P. Zhuang, An approximate solution for the non-linear anomalous subdiffusion equation using the Adomian decomposition method, Journal of Xiamen University (NATURAL Science), 46(4), (2007), 469-473.
[30]P. Zhuang and F. Liu, Implicit difference approximation for the time fractional diffusion equation, J. Appl. Math. Computing, 22(3) (2006), 87-99.
[31]F. Liu, P. Zhuang, I. Turner, V. Anh, A fractional-order implicit difference approximation for the space-time fractional diffusion equation, 47, ANZIAM J. (E)(2006), 48-68.
[32]P. Zhuang and F. Liu, An explicit difference approximation for the space-time fractional diffusion equation, Numerical Mathematics: A Journal of Chinese Universities, Vol. 27 Supplement (2005), 223-230.
[33]F. Liu, V. Anh, I. Turner and P. Zhuang, Numerical simulation for solute transport in fractal porous media, ANZIAM J., 45(E)(2004), 461-473.
[34]T. Zheng, P. Zhuang, X. Cai and F. Liu, A Petrov-Galerkin method for singularly perturbed time-dependent convection-diffusion equations with non-smooth data, Computational Mechanics, ID-614(2004).
[35]F. Liu, V. Anh, I. Turner and P. Zhuang, Time fractional advection dispersion equation, J. Appl. Math. Computing, Vol. 13(2003), 233-245.
国际会议论文：
[1]P. Zhuang, F. Liu, V. Anh, I. Turner, The Galerkin finite element approximations of the fractional Cable equation, The 5th Symposium on Fractional Differentiation and its Applications(FDA’12), May 14-17 2012, Hohai University, Nanjing, China.
[2]P. Zhuang, F. Liu, V. Anh, I.Turner, Y. T. Gu, Two novel numerical methods of a space-fractional Boussinesq equation, 4th International Conference on Computational Methods (ICCM2012) , 25 - 28 November 2012, Crowne Plaza, Gold Coast, Australia.
[3]F. Liu, P. Zhuang, V. Anh, I.Turner, K. Burrage, V. Anh, A new fractional finite volume method for solving the two-sided space fractional diffusion equation with a variable coefficient，4th International Conference on Computational Methods (ICCM2012) , 25 - 28 November 2012, Crowne Plaza, Gold Coast, Australia.
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