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Calculation of Chakalov-Popoviciu quadratures of Radau and Lobatto type

Published online by Cambridge University Press:  17 February 2009

Miodrag M. Spalević
Miodrag M. Spalević
Affiliation:
University of Kragujevac, Faculty of Science, Department of Mathematics and Informatics, P.O. Box 60, 34000 Kragujevac, Serbia, Yugoslavia; e-mail: spale@knez.uis.kg.ac.yu.
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Abstract

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A numerical method for calculation of the generalized Chakalov-Popoviciu quadrature formulae of Radau and Lobatto type, using the results given for the generalized Chakalov-Popoviciu quadrature formula, is given. Numerical results are included. As an application we discuss the problem of approximating a function f on the finite interval I = [a, b] by a spline function of degree m and variable defects dv, with n (variable) knots, matching as many of the initial moments of f as possible. An analytic formula for the coefficients in the generalized Chakalov-Popoviciu quadrature formula is given.

Type
Research Article
Information
The ANZIAM Journal , Volume 43 , Issue 3 , January 2002 , pp. 429 - 447
Copyright
Copyright © Australian Mathematical Society 2002

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