科研之友
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摘要
In this note, a novel method for parametric inversion of Laplace transforms by means of the Post-Widder formula is developed. In brief, the coefficients of the MacLaurin series equivalent of the sequence, which converges to Post-Widder's formula at infinity, are calculated by means of the iterated Aitken transform. Subsequently, the asymptotic values of such coefficients are obtained using the diagonal Pad, approximants in a computationally efficient manner. Our method revives the classical Post-Widder formula from the practical viewpoint.
- 出版日期2017-6
