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Numerical laplace transformation and inversion in the analysis of physical systems
Author(s) -
Wilcox D. J.,
Gibson I. S.
Publication year - 1984
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620200812
Subject(s) - mathematics , laplace transform , methods of contour integration , computation , mathematical analysis , transformation (genetics) , inversion (geology) , generalization , laplace transform applied to differential equations , algorithm , geometry , biochemistry , paleontology , chemistry , structural basin , biology , gene
The paper develops a new discrete transform pair which economizes on the number of samples of F ( s ) and f ( t ) compared with the standard pair. Whereas the standard pair used uniform sampling along the Bromwich contour, the new method allows a progressive increase in the sampling interval, thereby reducing the number of samples required to meet a specified bandwidth requirement. In the case of the computation of transient responses of physical systems, a reduction by a factor of 10 is not unrealistic. The new transform pair is based on the generalization of fundamental sampling principles. In particular, this leads to an integration contour different from the Bromwich contour.