Abstract
The paper describes a general method for the numerical calculation of Laplace's inverse transform of a given function. The general method is then specialized to two cases in which the computer is shown to be of great use. An appendix contains the solution of the collateral problem of the numerical derivation of a function. Some results are given as examples.
Similar content being viewed by others
Bibliography
M. Picone,Recenti contributi dell' Istituto per le Applicazioni del Calcolo all'analisi quantitativa dei problemi di propagazione. Atti della Reale Accademia d'Italia.6, (1935) 643.
C. Miranda,Sull'inversione della trasformata di Laplace. Pubblicazioni del Consiglio Nazionale delle Ricerche, 1937, n. 10.
F. Tricomi,Trasformazione di Laplace e polinomi di Laguerre. Atti della Accademia dei Lincei.21, (1935), 232.
L. A. Pipes,Applied Mathematics for Engineers and Physicists. Ed. Mc. GRAW-HILL Book Co. INC., N. Y., (1958).
W. T. Thomson,Laplace Transformation, Prentice-Hall Inc., Englewood Clipps, N. J., (1950).
C. J. Tranter,Integral Transforms in Mathematical Physics, Methuen & Co. Litd, London 1956.
J. Legras,Precis d'analyse numerique. Ed. Dunod, Paris, (1963).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Pennacchi, R. Numerical inversion of Laplace transform. Calcolo 4, 107–116 (1967). https://doi.org/10.1007/BF02641647
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02641647