Most of the numerical methods for the inversion of the Laplace Transform require the values of several incidental parameters. Generally, these parameters are related to the properties of the algorithm and to the analytical properties of the Laplace Transform function F(s). One of the most promising inversion methods, the Weeks methods, computes the inverse function f(t) as a series expansion of Laguerre functions involving two parameters, usually denoted by σ and b. In this paper we characterize the optimal choice bopt of b, which maximizes the rate of convergence of the series, in terms of the location of the singularities of F(s). © 1988 Springer-Verlag.

More on the weeks method for the numerical inversion of the Laplace transform

Giunta, G.;
1988

Abstract

Most of the numerical methods for the inversion of the Laplace Transform require the values of several incidental parameters. Generally, these parameters are related to the properties of the algorithm and to the analytical properties of the Laplace Transform function F(s). One of the most promising inversion methods, the Weeks methods, computes the inverse function f(t) as a series expansion of Laguerre functions involving two parameters, usually denoted by σ and b. In this paper we characterize the optimal choice bopt of b, which maximizes the rate of convergence of the series, in terms of the location of the singularities of F(s). © 1988 Springer-Verlag.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11367/64344
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