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Original Articles

Some new thoughts on Gauss–Laguerre quadrature

Pages 721-730 | Received 24 Jul 2004, Published online: 15 Aug 2006
 

Abstract

Gauss–Laguerre quadrature is notoriously poor for integrating non-exponentially decreasing infinite-range integrals. A method is proposed based on the non-standard basis set 1/x i and this is implemented for the weight functions 1.0, log x and sin x. A series of tests demonstrate the effectiveness of the approach, and an algorithm is presented to achieve convergence to a specified accuracy.

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