Numerical inversion of the Laplace transform on the real axis is an inverse and ill-posed problem. We describe a powerful modification of Weeks' Method, based on automatic differentiation, to be used in the real inversion. We show that the automatic differentiation technique assures accurate and efficient numerical computation of the inverse Laplace function."
A Modification of Weeks' Method for Numerical Inversion of the Laplace Transform in the Real Case Based on Automatic Differentiation / Cuomo, Salvatore; D'Amore, Luisa; Rizzardi, M.; Murli, Almerico. - Lecture Notes In Computational Science and Engineering Vol 64:(2008), pp. 45-54. (Intervento presentato al convegno Advances in Automatic Differentiation tenutosi a Bonn, Germany nel August 11-15) [10.1007/978-3-540-68942-3_5].
A Modification of Weeks' Method for Numerical Inversion of the Laplace Transform in the Real Case Based on Automatic Differentiation
CUOMO, SALVATORE;D'AMORE, LUISA;MURLI, ALMERICO
2008
Abstract
Numerical inversion of the Laplace transform on the real axis is an inverse and ill-posed problem. We describe a powerful modification of Weeks' Method, based on automatic differentiation, to be used in the real inversion. We show that the automatic differentiation technique assures accurate and efficient numerical computation of the inverse Laplace function."I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
