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    Some new thoughts on Gauss-Laguerre quadrature

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    Date
    2005-06-01
    Author
    Evans, Gwynne A.
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    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.
    Citation : Evans, G.A. (2005) Some new thoughts on Gauss-Laguerre quadrature. International Journal of Computer Mathematics, 82(6), pp. 721-730.
    URI
    http://hdl.handle.net/2086/247
    DOI
    http://dx.doi.org/10.1080/00207160512331323399
    ISSN : 1029-0265
    Research Group : Scientific Computation
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