Chebfun and numerical quadrature
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,...
| প্রধান লেখক: | , |
|---|---|
| বিন্যাস: | Journal article |
| ভাষা: | English |
| প্রকাশিত: |
2012
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| _version_ | 1826281515802165248 |
|---|---|
| author | Hale, N Trefethen, L |
| author_facet | Hale, N Trefethen, L |
| author_sort | Hale, N |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-07T00:29:58Z |
| format | Journal article |
| id | oxford-uuid:7f6d7548-23bc-458f-bd67-22c48c276317 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T00:29:58Z |
| publishDate | 2012 |
| record_format | dspace |
| spelling | oxford-uuid:7f6d7548-23bc-458f-bd67-22c48c2763172022-03-26T21:16:55ZChebfun and numerical quadratureJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:7f6d7548-23bc-458f-bd67-22c48c276317EnglishSymplectic Elements at Oxford2012Hale, NTrefethen, LChebfun 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. |
| spellingShingle | Hale, N Trefethen, L Chebfun and numerical quadrature |
| title | Chebfun and numerical quadrature |
| title_full | Chebfun and numerical quadrature |
| title_fullStr | Chebfun and numerical quadrature |
| title_full_unstemmed | Chebfun and numerical quadrature |
| title_short | Chebfun and numerical quadrature |
| title_sort | chebfun and numerical quadrature |
| work_keys_str_mv | AT halen chebfunandnumericalquadrature AT trefethenl chebfunandnumericalquadrature |