Some preliminary observations on an algorithm for the computation of moment integrals
type: Item
instance of: scholarly article
title: Some preliminary observations on an algorithm for the computation of moment integrals
zbMATH Open document ID: 0623.65027
DOI: 10.1016/S0377-0427(87)80016-X
author: Jet Wimp
author: Bob Kline
author: Andrew Galardi
author: David Colton
published in: Journal of Computational and Applied Mathematics
publication date: 1987-01-01T00:00:00Z
review text: The authors investigate the computation of Stieltjes moment integrals of the type \(\sigma_ n=\int^{\infty}_{0}t^ ne^{-P(t)} dt,\) \(n=0,1,2,..\). where P(t) is entire, with \(t^{N_ e-P(t)}=O(1)\), \(t\in {\mathbb{R}}\), for all N, and \(P(t)=\sum^{\infty}_{k=1}P_ kt^ k\). For this they introduce a Miller type algorithm: \(\sigma_ n=1/(n+1)\sum^{\infty}_{k=0}(k+1)P_{k+1}\sigma_{n+k+1}\). The relative adjoint algorithm and the convergence of the algorithm are studied and numerical examples are taken into account.
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 65Q05
Mathematics Subject Classification ID: 39A10
zbMATH DE Number: 4011768
zbMATH Keywords: difference equations
zbMATH Keywords: Stieltjes moment integrals
zbMATH Keywords: Miller type algorithm
zbMATH Keywords: adjoint algorithm
zbMATH Keywords: convergence
zbMATH Keywords: numerical examples
reviewed by: Dumitru Acu
MaRDI profile type: Publication
cites work: Q5820721
cites work: The special functions and their approximations. Vol. I, II
cites work: Q3332204
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description: scientific article; zbMATH DE number 4011768