Title
A second look at the interpolatory background of the Euler-Maclaurin quadrature formula.
Abstract
In this paper we complete the results of Schoenberg and Sharma on the interpolatory background of the Euler-Maclaurin quadrature formula by providing a direct proof from the properties of the B-spline of order 2m and of Bernoulli polynomials and numbers.
Year
DOI
Venue
2013
10.1016/j.amc.2013.07.037
Applied Mathematics and Computation
Keywords
Field
DocType
interpolatory background,euler-maclaurin quadrature formula,bernoulli polynomial,direct proof,spline interpolation,quadrature,b spline
Gauss–Kronrod quadrature formula,Mathematical optimization,Bernoulli polynomials,Mathematical analysis,Tanh-sinh quadrature,Clenshaw–Curtis quadrature,Gauss–Hermite quadrature,Euler's formula,Gauss–Jacobi quadrature,Mathematics,Gauss–Laguerre quadrature
Journal
Volume
ISSN
Citations 
220
0096-3003
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Zlatko Udovičić120.91
D. Barrera2415.35