# Least squares coefficients for a quadrature formula for Laplace transform inversion

- Authors
- Journal
- Journal of Computational and Applied Mathematics 0377-0427
- Publisher
- Elsevier
- Publication Date
- Volume
- 4
- Issue
- 1
- Identifiers
- DOI: 10.1016/0771-050x(78)90020-7

## Abstract

Abstract A linear iterative method of least squares approximation of functions by exponentials due to Miller [9] is adapted to derive a set of least squares coefficients for an approximate Laplace transform inversion formula eq. (1). An earlier assumption made by Zakian [2] - that the approximation to the Laplace transform inverse will improve provided the approximation to the Dirac delta function is improved - is shown to be not substantiated for a number of test functions.

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