On the regularized inversion of the Laplace transform
- 1 June 1991
- journal article
- Published by IOP Publishing in Inverse Problems
- Vol. 7 (3) , 355-368
- https://doi.org/10.1088/0266-5611/7/3/004
Abstract
The authors present an algorithm for the regularized inversion of the Laplace transform. They assume that the values of the Laplace transform are given in a finite number of equidistant points pi and that these values are affected by a Gaussian random noise with zero expectation and standard deviation sigma . The algorithm is applied to several examples and, in general, it gives a good approximation of the normal solution; numerical results are presented for values of sigma in the range (10-6, 10-2) and for sigma =0 (no noise).Keywords
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