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A modification of the Weeks method for numerical inversion of the Laplace transform


Authors: J. N. Lyness and G. Giunta
Journal: Math. Comp. 47 (1986), 313-322
MSC: Primary 65R10; Secondary 44A10
DOI: https://doi.org/10.1090/S0025-5718-1986-0842138-1
MathSciNet review: 842138
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Abstract: The Weeks method for calculating numerical values of $ f(t)$ from its Laplace transform $ F(s)$ involves the numerical evaluation of a set of contour integrals. In this paper, we describe a powerful modification, by means of which results of comparable accuracy can be obtained using approximately half the number of complex function values. This and other possible minor modifications are discussed.


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DOI: https://doi.org/10.1090/S0025-5718-1986-0842138-1
Article copyright: © Copyright 1986 American Mathematical Society

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