Type
ArticleKAUST Grant Number
KUK-C1-013-04Date
2012-07-24Online Publication Date
2012-07-24Print Publication Date
2012-09Permanent link to this record
http://hdl.handle.net/10754/597764
Metadata
Show full item recordAbstract
Chebfun is a Matlab-based software system that overloads Matlab's discrete operations for vectors and matrices to analogous continuous operations for functions and operators. We 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 Rokhlin. Then 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. © 2012 Science China Press and Springer-Verlag Berlin Heidelberg.Citation
Hale N, Trefethen LN (2012) Chebfun and numerical quadrature. Sci China Math 55: 1749–1760. Available: http://dx.doi.org/10.1007/s11425-012-4474-z.Sponsors
This work was supported by the MathWorks, Inc., King Abdullah University of Science and Technology (KAUST) (Award No. KUK-C1-013-04), and the European Research Council under the European Union's Seventh Framework Programme (FP7/2007-2013)/ERC (Grant Agreement No. 291068) <SUP>2)</SUP>.Publisher
Springer NatureJournal
Science China Mathematicsae974a485f413a2113503eed53cd6c53
10.1007/s11425-012-4474-z