Some aspects of Gaussian quadrature formulae for the numerical inversion of the Laplace transform
Open Access
- 1 January 1971
- journal article
- research article
- Published by Oxford University Press (OUP) in The Computer Journal
- Vol. 14 (4) , 433-436
- https://doi.org/10.1093/comjnl/14.4.433
Abstract
The optimal addition of abscissas to Gaussian quadrature formulae for the numerical evaluation of the Bromwich integral is discussed and Gaussian quadrature rules with a preassigned abscissa at infinity are studied. Techniques are given for the efficient calculation of the abscissas of the unconstrained Gauss formulae.Keywords
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