Numerical Algorithms

, 49:283 | Cite as

Some new applications of truncated Gauss-Laguerre quadrature formulas

Original Paper

Abstract

We show how truncated Gauss-Laguerre quadrature formulas can be used to produce accurate approximations and high rates of convergence, also when they are applied to integrand functions having only an algebraic type decay to zero at infinity. The approach presented in the paper is proposed for the computation of integrals and for the construction of Nyström type interpolants for some second kind integral equations.

Keywords

Gauss-Laguerre quadrature rules Integral equations Nyström methods 

Mathematics Subject Classifications (2000)

65D32 65R20 

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Copyright information

© Springer Science+Business Media, LLC. 2008

Authors and Affiliations

  1. 1.Dipartimento di MatematicaUniversità della BasilicataPotenzaItaly
  2. 2.Dipartimento di MatematicaPolitecnico di TorinoTurinItaly

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