An Error Analysis and Convergence of a Quadrature Formula to Invert Laplace Transforms
Abstract
The use of an expression for the exponential function exp(st) in Bromwich's integral, which incorporates a Padé approximation, yields a well known quadrature formula and its error terms. The error is then analysed for rational, transcendental and non-rational Laplace transforms respectively and a convergence scheme is presented for rational transforms
URI
http://imamat.oxfordjournals.org/content/20/1/21.shorthttp://erepository.uonbi.ac.ke:8080/xmlui/handle/123456789/37091
Citation
IMA J Appl Math (1977) 20 (1): 21-32.Publisher
University of Nairobi. Department of Mathematics, University of Nairobi