Closed expressions for coefficients in weighted Newton-Cotes quadratures-Reference-Cited by-同舟云学术

Closed expressions for coefficients in weighted Newton-Cotes quadratures

Published:2013 Issue:4 Volume:27 Page:649-658
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Masjed-Jamei Mohammad¹,Milovanovic Gradimir²^ORCID,Jafari M.A.³

Affiliation:

1. Department of Mathematics, K. N. Toosi University of Technology, Tehran, Iran%SR92-01.54

2. Mathematical Institute of the Serbian Academy of Sciences and Arts, Beograd%SR11-012.08

3. Department of Financial Sciences, University of Economic Sciences, Tehran, Iran%SR92-01.54

Abstract

In this short note, we derive closed expressions for Cotes numbers in the weighted Newton-Cotes quadrature formulae with equidistant nodes in terms of moments and Stirling numbers of the first kind. Three types of equidistant nodes are considered. The corresponding program codes in Mathematica Package are presented. Finally, in order to illustrate the application of the obtained quadrature formulas a few numerical examples are included.

Publisher

National Library of Serbia

Subject

General Mathematics

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