Numerical inversion of integral transforms
β Scribed by N Mullineux; J.R Reed
- Publisher
- Elsevier Science
- Year
- 1977
- Tongue
- English
- Weight
- 478 KB
- Volume
- 3
- Category
- Article
- ISSN
- 0898-1221
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β¦ Synopsis
The difficulties associated with the numerical inversion of Fourier and Laplace transforms are identified and a method, based on the modified Fourier transform, developed to overcome them. The method WC1 deal with problems which are non-linear in the sense that the parameters are frequency dependent. Computed results compare favourably with test results on electrical power systems.
π SIMILAR VOLUMES
We derive recurrence relationships for the evaluation of two integral transforms which are of interest for the numerical solution of some integral equations and for the construction of certain quadrature rules.
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
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 momen