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Original Articles

A numerical method for locating the abscissa of convergence of a laplace transform function with no singularity at infinity

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Pages 89-103 | Received 05 Jan 1990, Published online: 19 Mar 2007

References

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  • Giunta , G. , Laccetti , G. and Rizzardi , M. 1988 . More on the Weeks method for the numerical inversion of the Laplace Transform . Numerische Mathematik , 54
  • Giunta , G. , Laccetti , G. and Rizzardi , M. 1988 . On computing the abscissa of convergence of a. Laplace Transform function: working note , Vol. 2 , Universitàdi Napoli . Pubbl. Dipartimento di Matematica e Applicazioni
  • Giunta , G. , Lyness , J.N. and Murli , A. 1984 . An implementation of Weeks' method for the inverse Laplace Transform problem , III ANL/MCS-TM-39, Argonne National Laboratory, Argonne
  • Henrici , P. 1974 . Applied and Computational Complex Analysis , Vol. I, II , J. Wiley . 1977
  • Lyness , J.N. and Giunta , G. 1986 . A modification of the Weeks method for numerical inversion of the Laplace Transform . Math. Comp , 47
  • Murli A. Rizzardi M. Algorithm XXX: Talbot's method for the Laplace inversion problem 1990 to appear in ACM TOMS
  • Talbot , A. 1979 . The accurate numerical inversion of Laplace Transforms . J. Inst. Maths. Applies , 23
  • Tricomi , F. 1935 . Trasformazione di Laplace e polinomi di Laguerre: inversione della trasformazione . Rend. Ace. Naz. Lincei , 2
  • Weeks , T. 1966 . Numerical inversion of Laplace Transform using Laguerre functions . J. ACM , 13

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