The Accurate Numerical Inversion of Laplace Transforms

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ID: 304426
1979
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Ranked #5 of 9 articles by views in ima journal of applied mathematics

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Abstract
Numerical inversion of almost arbitrary Laplace transforms, for any value of t, to any prescribed accuracy up to atleast three-quarters of the computer precision, is effected by trapezoidal integration along a special contour. The required number of points depends on t, the accuracy, and the transform singularity positions, and for moderate t is typically 11 for errors of order 10−6, 18 for order 10−10, 35 for order 10−20(with double precision working).
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openalex_W2135094424 Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors A. Talbot
Journal ima journal of applied mathematics
Year 1979
DOI
10.1093/imamat/23.1.97
URL
Keywords Keywords not found

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