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Title of Article

APPLICATION OF TIME-STEP METHOD VARIANTS FOR NUMERICAL INVERSION OF THE LAPLACE TRANSFORM


Issue
1
Date
2014

Article type
scientific article
UDC
539.3+519.6
Pages
249-255
Keywords
Laplace transform inversion, time-step method, variable step, Runge-Kutta scheme


Authors
Igumnov L.A.
NII mekhaniki NNGU im. N.I. Lobachevskogo

Rataushko Ya.Yu.
NII mekhaniki NNGU im. N.I. Lobachevskogo


Abstract
The problem of constructing time-step methods for numerical inversion of the Laplace transform, based on the original function integration theorem, is considered. The stepping scheme is determined by the choice of the quadrature formula and the numerical solution scheme for the Cauchy problem, which arises for the integral appearing in the framework of the observed approach

File (in Russian)