✦ LIBER ✦

Numerical inversion of Mellin moments and Laplace transforms

✍ Scribed by R. Migneron; K.S.S. Narayanan

Publisher: Elsevier Science
Year: 1988
Tongue: English
Weight: 555 KB
Volume: 49
Category: Article
ISSN: 0010-4655
DOI: 10.1016/0010-4655(88)90006-9

No coin nor oath required. For personal study only.

✦ Synopsis

A new technique of inverting Moments and Laplace Transforms is presented, using a finite series of generalized Laguerre polynomials in the variable t = ln(1/x). The method is tested with two different functions, with particular emphasis on the estimation of errors involved. The applications of moment methods are also briefly discussed.

📜 SIMILAR VOLUMES

Numerical inversion of mellin and two-si

Numerical inversion of mellin and two-sided laplace transforms

✍ Menachem Dishon; George H. Weiss 📂 Article 📅 1978 🏛 Elsevier Science 🌐 English ⚖ 191 KB

Approximate formulae for numerical inver

Approximate formulae for numerical inversion of Laplace transforms

✍ Juraj Valsa; Lubomír Brančik 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 175 KB 👁 1 views

Most methods for the numerical calculation of inverse Laplace transformations f(t) = L -1 [F(s)] have serious limitations concerning the class of functions F(s) that can be inverted or the achievable accuracy. The procedures described in the paper can be used to invert rational as well as irrational

On regularized numerical inversion of Me

On regularized numerical inversion of Mellin transform

✍ M. Iqbal 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 330 KB

Accuracy of numerical inversion of lapla

Accuracy of numerical inversion of laplace transforms for pharmacokinetic parameter estimation

✍ R. D. Purves 📂 Article 📅 1995 🏛 John Wiley and Sons 🌐 English ⚖ 457 KB

Numerical inversion of the Laplace transform is a useful technique for pharmacokinetic modeling and parameter estimation when the model equations can be solved in the Laplace domain but the solutions cannot be inverted back to the time domain. The accuracy of numerical inversion of the Laplace trans

Regularized Inversion of Noisy Laplace T

Regularized Inversion of Noisy Laplace Transforms

✍ D.E. Chauveau; A.C.M. Vanrooij; F.H. Ruymgaart 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 469 KB

In this paper we construct a sequence of regularized inverses of the Laplace transform by relating this transform to a convolution operator for functions on the group of the positive real numbers with multiplication. Estimation of the mixing distribution, when a mixture of exponential distributions

A numerical inversion of laplace transfo

A numerical inversion of laplace transform and its application

✍ N. Kitahara; D. Nagahara; H. Yano 📂 Article 📅 1988 🏛 Elsevier Science 🌐 English ⚖ 545 KB

This paper describes a new method for numerical inversion of the Laplace transform based on a conformal mapping of the Bromwich path onto a unit circle. The inversion integral along the unit circle in a complex plane, is obtained numerically using the trapezoidal rule. Some numerical results of the