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Approximate formulae for numerical inversion of Laplace transforms
Author(s) -
Valsa Juraj,
Brančik Lubomír
Publication year - 1998
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/(sici)1099-1204(199805/06)11:3<153::aid-jnm299>3.0.co;2-c
Subject(s) - laplace transform , lossy compression , computation , transcendental function , inverse , inversion (geology) , irrational number , rational function , transcendental equation , mathematics , algorithm , inverse laplace transform , computer science , numerical analysis , mathematical analysis , geometry , geology , paleontology , statistics , structural basin
Most methods for the numerical calculation of inverse Laplace transformations f ( t ) = L −1 [ F ( s )] have serious limitations concerning the class of functions F ( s ) that can be inverted or the achievable accuracy. The procedures described in the paper can be used to invert rational as well as irrational or transcendental functions of the complex variable s . The required accuracy of the results can be enhanced without changing the algorithm, only at the cost of a longer computation time. The described methods were verified with many examples including transients in lumped/distributed systems with sections of lossy multiconductor transmission lines or with distributed RC elements. © 1998 John Wiley & Sons, Ltd.