Some new thoughts on Gauss-Laguerre quadrature

De Montfort University Open Research Archive

Show simple item record Evans, Gwynne A. en 2008-11-24T13:51:48Z 2008-11-24T13:51:48Z 2005-06-01 en
dc.identifier.citation Evans, G.A. (2005) Some new thoughts on Gauss-Laguerre quadrature. International Journal of Computer Mathematics, 82(6), pp. 721-730.
dc.identifier.issn 1029-0265 en
dc.description The use of non-standard abscissae in the infinite range work had an obvious application to classical Laguerre quadrature. In this paper these ideas are pursued to allow modified Laguerre quadrature to operate accurately on non-exponential decreasing integrands. The evaluation of the relevant monomials now requires exponential integrals, and the functions ci(x) and si(x) for which simple fast algorithms are available. A simple ‘black-box’ algorithm for combining a conventional Clenshaw-Curtis or Gauss-Legendre rule with this modified Gauss-Laguerre algorithm is provided. The work gives a fresh aspect to a classical quadarature rule which arises in areas such as statistics and wave theory. en
dc.language.iso en en
dc.publisher Taylor & Francis en
dc.subject RAE 2008
dc.subject UoA 23 Computer Science and Informatics
dc.title Some new thoughts on Gauss-Laguerre quadrature en
dc.type Article en
dc.identifier.doi en
dc.researchgroup Scientific Computation

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