scholarly journals Numerical Inversion of the Laplace Transform from the Real Axis

2000 ◽  
Vol 248 (2) ◽  
pp. 572-587 ◽  
Author(s):  
Ruben G. Airapetyan ◽  
Alexander G. Ramm
Keyword(s):  
Laplace Transform ◽  
Real Axis ◽  
Numerical Inversion ◽  
The Real ◽  
The Laplace Transform

scholarly journals Inversion of the Laplace Transform from the Real Axis Using an Adaptive Iterative Method

2009 ◽  
Vol 2009 ◽  
pp. 1-38 ◽  
Author(s):  
Sapto W. Indratno ◽  
Alexander G. Ramm
Keyword(s):  
Approximate Solution ◽  
Iterative Method ◽  
Laplace Transform ◽  
Real Axis ◽  
Quadrature Formula ◽  
Compact Support ◽  
Unknown Function ◽  
Stopping Rule ◽  
The Real ◽  
The Laplace Transform

A new method for inverting the Laplace transform from the real axis is formulated. This method is based on a quadrature formula. We assume that the unknown function is continuous with (known) compact support. An adaptive iterative method and an adaptive stopping rule, which yield the convergence of the approximate solution to , are proposed in this paper.

On the numerical inversion of the Laplace transform

1964 ◽  
Vol 54 (6A) ◽  
pp. 1779-1795
Author(s):  
I. M. Longman
Keyword(s):  
Numerical Calculation ◽  
Laplace Transform ◽  
Real Axis ◽  
Positive Real Axis ◽  
Inverse Laplace Transform ◽  
Numerical Inversion ◽  
Positive Real ◽  
The Laplace Transform

abstract Methods are demonstrated for the numerical calculation of the inverse Laplace transform g(t) of a function g(p) given on the positive real axis of the p-plane.

scholarly journals Numerical inversion of the Laplace transform

1999 ◽  
Vol 110 (23) ◽  
pp. 11176-11186 ◽  
Author(s):  
Bruno Hüpper ◽  
Eli Pollak
Keyword(s):  
Laplace Transform ◽  
Numerical Inversion ◽  
The Laplace Transform
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