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Zbornik radova (Građevinski fakultet Sveučilišta u Rijeci), Vol. XIX No. 1, 2016.

Professional paper

Gauss-Legendre-Radau and Gauss-Legendre-Lobatto Numerical Integration

Nina Čeh orcid id orcid.org/0000-0003-4903-9769 ; Faculty of Civil Engineering, University of Rijeka, Rijeka, Croatia
Ivan Dražić orcid id orcid.org/0000-0002-1463-996X ; Faculty Of Engineering, University of Rijeka, Rijeka, Croatia
Nermina Mujaković ; Department of Mathematics, University of Rijeka, Rijeka, Croatia

Full text: croatian pdf 923 Kb

page 133-146

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Abstract

Gauss formulae for numerical integration are based on calculating the values of the integrand at Gaussian nodes and multiplying these values by weight factors, whereby the nodes are nonuniformly distributed in order to achieve higher accuracy compared to the uniform distribution of nodes. In this work Gauss-Legendre-Radau and Gauss-Legendre-Lobatto integration formulae, in which at least one end of the integration interval is a node, are listed in detail. These formulae are tested using the Runge function.

Keywords

Gauss integration; Gauss-Radau formula; Gauss-Lobatto formula

Hrčak ID:

192804

URI

https://hrcak.srce.hr/192804

Publication date:

20.12.2017.

Article data in other languages: croatian

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