<div class> <p> <br/> 姓名:庄平辉 <br/> 性别:男 <br/> 职称:副教授<br/> 所获学位:博士<br/> 授予单位:厦门大学 <br/> 学院:数学学院<br/> 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<br/> Phone:18959285820 <br/> Email: zxy1104@xmu.edu.cn <br/> 通信地址:厦门大学数学科学学院<br/> 邮编:361005<br/> <br/> 学习工作经历<br/> </strong>1978-1982: 福州大学计算机科学系计算数学专业,获学士学位;<br/> 1985-1988: 福州大学计算机科学系计算数学专业,获硕士学位;<br/> 2005-2008: 厦门大学数学科学学院计算数学专业,获博士学位;<br/> 2006年6月-2006年9月:澳大利亚昆士兰理工大学,访问学者;<br/> 2009年7月-2009年12月:澳大利亚昆士兰理工大学,访问学者;<br/> 1982年-1985年 石油大学计算机科学系,助教;<br/> 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。 <br/> <br/> 教学简介 <br/> </strong> 主讲过的课程:数值逼近,数值代数,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,线性代数等。<br/> 编写的教材:《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。<br/> 获得的教学表彰和奖励:2009年厦门大学工商银行奖(教学类)。<br/> <br/> 研究领域 <br/> </strong>微分方程数值方法及其理论分析,分数阶微分方程<br/> <br/> 基金项目<br/> </strong>(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.<br/> (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.<br/> (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. <br/> (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<br/> (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<br/> <br/> 近年来发表的主要学术论文<br/> </strong> (1) 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.<br/> (2)Q. Liu, Y. Gu, P. Zhuang, F. Liu and Y. Nie, An implicit RBF meshless approach for time fractional diffusion equations, Computational Mechanics, 48(2011), 1-12.<br/> (3)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.<br/> (4)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. <br/> (5)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 Mechanocs, 30(12)(2009), 1533-1546. <br/> (6)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. <br/> (7)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.<br/> (8)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.<br/> (9)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.<br/> (10)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.<br/> (11)P. Zhuang and F. Liu, Finite difference approximation for two-dimensional time fractional diffusion equation, J. Algorithms & Computational Technology, 1 (2007), 1-15.<br/> (12)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.<br/> (13)P. Zhuang, F. Liu, I. Turner and V. Anh, Numerical Treatment for the Fractional Fokker-Planck Equation, ANZIAM J., 48 (2007), 759-774.<br/> (14) 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. <br/> (15)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.<br/> <br/> 如果发现导师信息存在错误或者偏差,欢迎随时与我们联系,以便进行更新完善。联系方式>></a></p> <p> </p> <p><br/> <br/> </p> </div>