个人简介

学历简介： 学士 1985-7 复旦大学 硕士 1988-7 复旦大学 博士 1995-9 香港大学 工作经历： 1988年7月 至 1991年11月 汕头大学 助教 1991年12月 至 1997年11月 汕头大学 讲师 1997年12月 至 2002年11月 汕头大学 副教授 2002年12月 至 现在 汕头大学 教授 担任课程： 本科生：《数值分析》、《矩阵计算》、《泛函分析》、《数学模型》、《运筹学》、《数值逼近》、《高等数学》、《概率统计》 研究生：《数值逼近》、《科学计算方法》、《矩阵计算》，《泛函分析》、《积分方程数值解》

研究领域

数值代数

承担项目： [ 1 ] 国家自然科学基金项目 分数阶扩散方程的高精度离散方法、快速算法及应用；2018/1/1 [ 2 ] 国家自然科学基金项目 一类Robin反问题的数值解法；2013/1/1—2016/12/31； [ 3 ] 其它课题 Robin反问题的数值解法；2011/6/1 [ 4 ] 省基金 Fredholm积分方程的快速求解法研究； [ 5 ] 省基金 Toeplitz方程组的预处理迭代解法及其应用； [ 6 ] 国家基金 求解Fredholm积分方程的带预处理的共轭梯度法； [ 7 ] 国家基金 弗雷德霍姆方程的预处理迭代解法；

近期论文

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[ 1 ] 林福荣, 杨世伟；A two-stage method for piecewise-constant solution for Fredholm integral equations of the first kind；Mathematics； 5；2017/05/22 [ 2 ] 房喜明，林福荣，王超；Estimation of a regularisation parameter for a Robin inverse problem；East Asian Journal on Applied Mathematics； 7；325-342；2017/05/01 [ 3 ] 陈琼生,林福荣；A modified Nystrom-Clenshaw-Curtis quadrature for integral equations with piecewise smooth kernels；Applied Numerical Mathematics； 85；77-89；2014/11/15 [ 4 ] 马衍波,林福荣；Conjugate gradient method for estimation of Robin coefficients；East Asian Journal on Applied Mathematics； 4；189-204；2014/05/15 [ 5 ] 林福荣, 杨世伟； A weighted H1 seminorm regularization method for Fredholm integral equations of the first kind；International Journal of Computer Mathematics； 91；1012-1029；2014/05/01 [ 6 ] 林福荣, 杨世伟，金小庆； Preconditioned iterative methods for fractional diffusion equation；Journal of Computational Physics； 256；109–117；2014/01/01 [ 7 ] 林福荣, 杨海霞；A fast stationary iterative method for a partial integro-differential equation in pricing options；Calcolo； 50；313-327；2013/12/01 [ 8 ] 林福荣, 鲁鑫，金小庆；Sinc Nystrom Method for Singularly Perturbed Love's Integral Equation；East Asian Journal on Applied Mathematics； 3；48-58；2013/02/28 [ 9 ] 宣艳, 林福荣；Numerical methods based on rational variable substitution for Wiener-Hopf equations of the second kind；Journal of Computational and Applied Mathematics； 236；3528–3539；2012/08/15 [ 10 ] 林福荣, 王墀锡； BTTB preconditioners for BTTB systems；Numerical Algorithms； 60；153—167；2012/05/31 [ 11 ] 林福荣, 梁芬；Application of high order numerical quadratures to numerical inversion of the Laplace transform；Advances in Computational Mathematics； 36；267--278；2012/02/29 [ 12 ] 林福荣, 张德才； BTTB preconditioners for BTTB least squares problems；Linear Algebra and its Applications； 434；2285-2295；2011/06/01 [ 13 ] 梁芬, 林福荣； A fast numerical solution method for two dimensional Fredholm integral equations of the second kind based on the piece-wise polynomial interpolation；Applied Mathematics and Computation； 216；3073--3088；2010/07/15 [ 14 ] 林福荣, 吴国宝；Inverse Product Toeplitz Preconditioners for non-Hermitian Toeplitz Systems；Numerical Algorithms； 54；279—295；2010/06/30 [ 15 ] 林福荣；A fast numerical solution method for two dimensional Fredholm integral equations of the second kind；Applied Numerical Mathematics； 59；1709-1719；2009/01/01 [ 16 ] 林福荣；Block Preconditioners with Circulant Blocks for General Linear Systems；Computer and Mathematics with Applications； 58；1309--1319；2009/01/01 [ 17 ] 林福荣；Approximation BFGS methods for nonlinear image restoration；Journal of Computational and Applied Mathematics； 226；84-91；2009/01/01 [ 18 ] 林福荣；An explicit formula for the inverse of band triangular Toeplitz matrix；Linear Algebra and its Applications； 428；520-534；2008/01/01 [ 19 ] [ 20 ] Fu-Rong Lin and Wei-Fu Fang；A Linear Integral Equation Approach to the Robin Inverse Problem；Inverse Problems, 21 (2005), pp. 1757—1772； [ 21 ] Fu-Rong Lin, Michael K. Ng, and Wai-Ki Ching；Factorized Banded Inverse Preconditioners for Matrices with Toeplitz Structure；SIAM J Scientific Computing, 26 (2005), no. 6, pp. 1852—1870； [ 22 ] F. R. Lin and W. K. Ching；Inverse Toeplitz Preconditioners for Hermitian Toeplitz Systems；Numerical Linear Algebra with Applications, 12 (2005), no. 2-3, pp. 221—229； [ 23 ] Fu-Rong Lin, Wai-Ki Ching, and Michael K. Ng；Preconditioning Regularized Least Squares Problems arising from High-Resolution Image Reconstruction from Low-Resolution Frames；Linear Algebra and Its Applications, 301 (2004), pp. 149—168； [ 24 ] Fu-Rong Lin, Wai-Ki Ching, and Michael K. Ng；Fast Inversion of Triangular Toeplitz Matrices；Theoretical Computer Science, 315 (2004), no. 2-3, pp. 511—523； [ 25 ] F. R. Lin；Preconditioned Iterative Methods for the Numerical Solution of Fredholm Equations of the Second Kind；Calcolo, 40 (2003), no. 4, pp. 231—248； [ 26 ] Fu-Rong Lin and M. Ng；Super-Resolution Image Reconstruction with Estimation of Low-Resolution Frames；International Journal of Applied Mathematics, 13 (2003), pp. 99--117； [ 27 ] Fu-Rong Lin，Wai-Ki Ching，and Michael K. Ng；Discrete Wavelet Transforms for Toeplitz Matrices；Linear Algebra and Its Applications,370 (2003), pp. 269—285； [ 28 ] F. R. Lin, X. Q. Jin, and S. L. Lei；Strang-type Preconditioners for Solving Linear Systems from Delay Differential Equations；BIT, 43 (2003), pp. 136—149； [ 29 ] R. Chan, F. R. Lin, and C. F. Chan；A Fast Solver for Fredholm Equations of the Second Kind with Weakly Singular Kernels；Journal of Numerical Mathematics, 10 (2002), pp. 13—36； [ 30 ] F. R. Lin；Genuine-Optimal Circulant Preconditioners for Wiener-Hopf Equations；Journal of Computational Mathematics, 19 (2001), pp. 629—638； [ 31 ] F. R. Lin；Preconditioners for Block Toeplitz Systems Based on Circulant Preconditioners；Numerical Algorithms, 26 (2001), pp. 365—379； [ 32 ] F. R. Lin；Notes on Wavelet-like Basis Matrices；Computers and Mathematics with applications, 40 (2000), pp. 761—769； [ 33 ] F. R. Lin and M. K. Ng；Fast Preconditioned Iterative Methods for Convolution-type Integral Equations；BIT, 40 (2000), pp. 336—350； [ 34 ] R. Chan, F. R. Lin and W. F. Ng；Fast Dense Matrix Method for the Solution of Integral Equations of the Second Kind；Numerical Mathematics —a Journal of Chinese Universities, 7(1998), No.1, pp. 105—120； [ 35 ] F. R. Lin, M.K. Ng and R. Chan；Preconditioners for Wiener-Hopf Equations with High Order Quadrature rules；SIAM J. Numer. Anal., 34(1997)，pp. 1418--1431； [ 36 ] F. R. Lin and M.K. Ng；Higher-order Quadratures for Circulant Preconditioned Wiener-Hopf Equations；BIT, 36 (1996), pp. 110—121； [ 37 ] R. Chan and F.R. Lin；Preconditioned Conjugate Gradient Methods for Integral Equations of the Second Kind Defined on the Half-line；J. of Computational Mathematics, 14 (1996), pp. 223—236； [ 38 ] M. Ng, F. Lin and R. Chan；Construction of Preconditioners for Wiener-Hopf Equations by Operator Splitting；Applied Mathematics and Computation, 72 (1995), pp. 77—96；