caa a22 4500 378920162 CHVBK 20180305123603.0 cr unu---uuuuu 161128e20040601xx s 000 0 eng 10.1515/1569394042215874 doi (NATIONALLICENCE)gruyter-10.1515/1569394042215874 Kryzhniy V. V. Kuban State Technological University, Kransodar, Russia. E-mail: kryzhniy@yahoo.com On regularization method for numerical inversion of Laplace transforms [Elektronische Daten] [V. V. Kryzhniy] In this paper we consider a new method of constructing regularizing operators of the inverse Laplace transform. The regularizing operators constructed in this work are defined for any image function analytic for Re p > 0. The analytical dependence between exact and regularized solutions allows to analyze the rate of convergence of the regularized solution to the exact one. This analysis is illustrated by graphs and reveals the main features of the numerical inversion of the Laplace transform. The numerical examples illustrating the advantages of the proposed method in stability and accuracy are given. Copyright 2004, Walter de Gruyter Journal of Inverse and Ill-posed Problems Walter de Gruyter 12/3(2004-06-01), 279-296 0928-0219 12:3<279 2004 12 jiip https://doi.org/10.1515/1569394042215874 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.1515/1569394042215874 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Kryzhniy V. V. Kuban State Technological University, Kransodar, Russia. E-mail: kryzhniy@yahoo.com NATIONALLICENCE 773 0- Journal of Inverse and Ill-posed Problems Walter de Gruyter 12/3(2004-06-01), 279-296 0928-0219 12:3<279 2004 12 jiip CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence SWISSBIB 378920162 BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter