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  1. Science in China Series A: Mathematics
  2. Science in China Series A: Mathematics : Volume 55
  3. Science in China Series A: Mathematics : Volume 55, Issue 9, September 2012
  4. Chebfun and numerical quadrature
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Science in China Series A: Mathematics : Volume 60
Science in China Series A: Mathematics : Volume 59
Science in China Series A: Mathematics : Volume 58
Science in China Series A: Mathematics : Volume 57
Science in China Series A: Mathematics : Volume 56
Science in China Series A: Mathematics : Volume 55
Science in China Series A: Mathematics : Volume 55, Issue 12, December 2012
Science in China Series A: Mathematics : Volume 55, Issue 11, November 2012
Science in China Series A: Mathematics : Volume 55, Issue 10, October 2012
Science in China Series A: Mathematics : Volume 55, Issue 9, September 2012
Chebfun and numerical quadrature
The existence and non-existence of travelling front in high order auto-catalysis chemical reaction
A refined invariant subspace method and applications to evolution equations
Zero-based subspaces and quasi-invariant subspaces of the Bargmann-Fock space
Abstract Volterra equations in locally convex spaces
A simple construction of optimal estimation in multivariate marginal Cox regression
Generalization errors of Laplacian regularized least squares regression
On conformal vector fields on Randers manifolds
Static flow on complete noncompact manifolds I: short-time existence and asymptotic expansions at conformal infinity
Some new 3-designs from PSL(2, q) with q ≡ 1 (mod4)
The Bonnesen isoperimetric inequality in a surface of constant curvature
On Radon-Penrose transformation and k-Cauchy-Fueter operator
Global fast and slow solutions of a localized problem with free boundary
Interpolation of Lorentz martingale spaces
Erratum to: On the construction of irreducible characters in p-blocks with normal metacyclic defect groups
Gröbner bases in difference-differential modules with coefficients in a commutative ring
Science in China Series A: Mathematics : Volume 55, Issue 8, August 2012
Science in China Series A: Mathematics : Volume 55, Issue 7, July 2012
Science in China Series A: Mathematics : Volume 55, Issue 6, June 2012
Science in China Series A: Mathematics : Volume 55, Issue 5, May 2012
Science in China Series A: Mathematics : Volume 55, Issue 4, April 2012
Science in China Series A: Mathematics : Volume 55, Issue 3, March 2012
Science in China Series A: Mathematics : Volume 55, Issue 2, February 2012
Science in China Series A: Mathematics : Volume 55, Issue 1, January 2012
Science in China Series A: Mathematics : Volume 54
Science in China Series A: Mathematics : Volume 53
Science in China Series A: Mathematics : Volume 52
Science in China Series A: Mathematics : Volume 51
Science in China Series A: Mathematics : Volume 50
Science in China Series A: Mathematics : Volume 49
Science in China Series A: Mathematics : Volume 48
Science in China Series A: Mathematics : Volume 47
Science in China Series A: Mathematics : Volume 46
Science in China Series A: Mathematics : Volume 45
Science in China Series A: Mathematics : Volume 44
Science in China Series A: Mathematics : Volume 43
Science in China Series A: Mathematics : Volume 42
Science in China Series A: Mathematics : Volume 41
Science in China Series A: Mathematics : Volume 40

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Chebfun and numerical quadrature

Content Provider Springer Nature Link
Author Hale, Nicholas Trefethen, Lloyd N.
Copyright Year 2012
Abstract 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.
Starting Page 1749
Ending Page 1760
Page Count 12
File Format PDF
ISSN 16747283
Journal Science in China Series A: Mathematics
Volume Number 55
Issue Number 9
e-ISSN 18691862
Language English
Publisher SP Science China Press
Publisher Date 2012-07-24
Publisher Place Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Chebfun Clenshaw-Curtis quadrature Gauss quadrature barycentric interpolation formula Riemann-Liouville integral fractional calculus Applications of Mathematics
Content Type Text
Resource Type Article
Subject Mathematics
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