Chebfun and numerical quadrature

作     者：HALE Nicholas TREFETHEN Lloyd N 

作者机构：Mathematical InstituteUniversity of OxfordOxford OX1 3LBUK 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2012年第55卷第9期

页      面：1749-1760页

核心收录：

学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学] 

基　　金：supported by the MathWorks,Inc.,King Abdullah University of Science and Technology (KAUST) (Award No. KUK-C1-013-04) the European Research Council under the European Union’s Seventh Framework Programme (FP7/2007-2013)/ERC (Grant Agreement No. 291068) 

主　　题：数值积分 Matlab 函数定义 分数阶导数 软件系统 时间间隔 运算符 雅可比 

摘      要：Chebfun is a Matlab-based software system that overloads Matlab s discrete operations for vectors and matrices to analogous continuous operations for functions and *** begin by describing Chebfun s fast capabilities for Clenshaw-Curtis and also Gauss-Legendre,-Jacobi,-Hermite,and-Laguerre quadrature,based on algorithms of Waldvogel and Glaser,Liu and *** we consider how such methods can be applied to quadrature problems including 2D integrals over rectangles,fractional derivatives and integrals,functions defined on unbounded intervals,and the fast computation of weights for barycentric interpolation.