Splines in Numerical Integration

Udovičić, Zlatko. "Splines in Numerical Integration." Mathematica Balkanica New Series 24.3-4 (2010): 351-358. <http://eudml.org/doc/11356>.

@article{Udovičić2010,
abstract = {AMS Subj. Classification: 65D07, 65D30.We gave a short review of several results which are related to the role of splines (cardinal, centered or interpolating) in numerical integration. Results deal with the problem of approximate computation of the integrals with spline as a weight function, but also with the problem of approximate computation of the integrals without weight function. Besides, we presented an algorithm for calculation of the coefficients of the polynomials which correspond to the cardinal B-spline of arbitrary order and described five methods for calculation of the moments in the case when cardinal B-spline of order m,m ∈ N, is a weight function.},
author = {Udovičić, Zlatko},
journal = {Mathematica Balkanica New Series},
keywords = {Cardinal B-Spline; Coefficients; Moments; Rectangular Rule; Interpolating Quadratic Spline; Hat Function; Cubic B-Spline; cardinal -spline; coefficients; moments; rectangular rule; interpolating quadratic spline; hat function; cubic -spline},
language = {eng},
number = {3-4},
pages = {351-358},
publisher = {Bulgarian Academy of Sciences - National Committee for Mathematics},
title = {Splines in Numerical Integration},
url = {http://eudml.org/doc/11356},
volume = {24},
year = {2010},
}

TY - JOUR
AU - Udovičić, Zlatko
TI - Splines in Numerical Integration
JO - Mathematica Balkanica New Series
PY - 2010
PB - Bulgarian Academy of Sciences - National Committee for Mathematics
VL - 24
IS - 3-4
SP - 351
EP - 358
AB - AMS Subj. Classification: 65D07, 65D30.We gave a short review of several results which are related to the role of splines (cardinal, centered or interpolating) in numerical integration. Results deal with the problem of approximate computation of the integrals with spline as a weight function, but also with the problem of approximate computation of the integrals without weight function. Besides, we presented an algorithm for calculation of the coefficients of the polynomials which correspond to the cardinal B-spline of arbitrary order and described five methods for calculation of the moments in the case when cardinal B-spline of order m,m ∈ N, is a weight function.
LA - eng
KW - Cardinal B-Spline; Coefficients; Moments; Rectangular Rule; Interpolating Quadratic Spline; Hat Function; Cubic B-Spline; cardinal -spline; coefficients; moments; rectangular rule; interpolating quadratic spline; hat function; cubic -spline
UR - http://eudml.org/doc/11356
ER -