InvertLT is a functional numerical implementation of the described mathematical method (developed in C++ and MATLAB). It allows inverting a Laplace transform given on the real and positive axis and returns the values of an original function at a specified time interval. InvertLT is a DLL (Windows only) that can be called from MATLAB. InvertLT is an implementation of a method described in the scientific paper [2] Kryzhniy V.V. ”On regularization of numerical inversion of Laplace transforms” , J. Inv. Ill-Posed probl., 2004, Vol.12, No.3, pp.279-296 from the references list. It is a well-tested program. No problems were encountered while using it. Developed program is written in C++ and recompiled into Matlab afterwards. Original C++ version is much faster.

References in zbMATH (referenced in 13 articles , 1 standard article )

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  1. D’Amore, Luisa; Mele, Valeria; Campagna, Rosanna: Quality assurance of Gaver’s formula for multi-precision Laplace transform inversion in real case (2018)
  2. Belomestny, Denis; Mai, Hilmar; Schoenmakers, John: Generalized Post-Widder inversion formula with application to statistics (2017)
  3. D’Amore, Luisa; Campagna, Rosanna; Mele, Valeria; Murli, Almerico: Algorithm 946: ReLIADiff -- a C++ software package for real Laplace transform inversion based on algorithmic differentiation (2014)
  4. D’Amore, Luisa; Campagna, Rosanna; Mele, Valeria; Murli, Almerico; Rizzardi, Mariarosaria: ReLaTIve. An Ansi C90 software package for the Real Laplace Transform Inversion (2013)
  5. Kryzhniy, V. V.: On regularization method for numerical inversion of the Laplace transforms computable at any point on the real axis (2010)
  6. Revelli, J. A.; Rojo, F.; Budde, C. E.; Wio, H. S.: Optimal intermittent search strategies: smelling the prey (2010)
  7. Rojo, F.; Revelli, J.; Budde, C. E.; Wio, H. S.; Oshanin, G.; Lindenberg, Katja: Intermittent search strategies revisited: effect of the jump length and biased motion (2010)
  8. Indratno, Sapto W.; Ramm, Alexander G.: Inversion of the Laplace transform from the real axis using an adaptive iterative method (2009)
  9. Moura, Márcio das Chagas; Droguett, Enrique López: A continuous-time semi-Markov Bayesian belief network model for availability measure estimation of fault tolerant systems (2008)
  10. Selivanov, Mikhail F.; Chernoivan, Yuri A.: A combined approach of the Laplace transform and Padé approximation solving viscoelasticity problems (2007)
  11. Kryzhniy, V. V.: Numerical inversion of the Laplace transform: analysis via regularized analytic continuation (2006)
  12. Kryzhniy, V. V.: On regularization method for numerical inversion of Laplace transforms (2004)
  13. Kryzhniy, V. V.: High-resolution exponential analysis via regularized numerical inversion of Laplace transforms (2004)