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

Nina Čeh ; Građevinski fakultet Sveučilišta u Rijeci, Rijeka, Hrvatska
Ivan Dražić orcid id orcid.org/0000-0002-1463-996X ; Tehnički fakultet Sveučilišta u Rijeci, Rijeka, Hrvatska
Nermina Mujaković ; Odjel za matematiku Sveučilišta u Rijeci, Rijeka, Hrvatska


Puni tekst: hrvatski pdf 923 Kb

str. 133-146

preuzimanja: 447

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Sažetak

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.

Ključne riječi

Gauss integration, Gauss-Radau formula, Gauss-Lobatto formula

Hrčak ID:

192804

URI

https://hrcak.srce.hr/192804

Podaci na drugim jezicima: hrvatski

Posjeta: 735 *