Bibliography

1

1959. Gaver D. P. "Embedded Markov chain analysis of a waiting line process in continuous time", Annals Math. Stat. 30, 698-720

2

1968. (Dubner-Abate algorithm) : Dubner H. and J. Abate. "Numerical inversion of Laplace transforms by relating them to finite Fourier-cosine transform", J. ACM 15(1):115-123.

3

1971. (Salzer-Piessens algorithm) : Piessens, R. "Gaussian quadrature formulas for the numerical integration of Bromwich's integral and the inversion of the Laplace transform". J. Engineer. Math. 5(1):1-9.

4

1970. (Gaver-Stehfest algorithm) : Stehfest H. "Algorithm 368 [D5] : Numerical inversion of Laplace transforms", Comm. ACM 13(1):47-49 and 13(10):624.

5

1966. (Widder-Weeks algorithm) : Weeks W.T. "Numerical inversion of Laplace transforms using Laguerre functions", J. ACM. 13(3):419-426.

6

1994. Cheng, A.H-D., P. Sidaurik and Y. Abousleiman. "Approximate inversion of the Laplace transform", The Mathematica Journal 4(2):76-82.

7

1975. Kleinrock. "Queuing systems, Vol. 1: theory", Wiley

8

1998. Douillet P.L. "A study of some queuing systems", Ph.D. Thesis, University of Paris, 253 p. Available at : www-inf. int-evry.fr/- douillet/thesis.

In [8], more than 200 references, are given concerning inverse Laplace Transform, queuing systems and formal calculus.