In this work, we present a review of the GILTT (Generalized Integral Laplace Transform
Technique) solutions for the one and two-dimensional, time-dependent, advection–diffusion …

Operational methods have been used for over a century to solve problems such as ordinary
and partial differential equations. When solving such problems, in many cases it is fairly …

We introduce and investigate a framework for constructing algorithms to invert Laplace
transforms numerically. Given a Laplace transform ̂ f of a complex-valued function of a …

For the numerical inversion of Laplace transforms we suggest to use multi‐precision
computing with the level of precision determined by the algorithm. We present two such …

The challenge of efficiently sampling exchangeable and nested Archimedean copulas is
addressed. Specific focus is put on large dimensions, where methods involving generator …

This paper investigates the performance of the numerical inverse Laplace transformation
(ILT) method based on concentrated matrix exponential (CME) distributions, referred to as …

Numerical inversion is required when Laplace transform cannot be inverted analytically by
manipulating tabled formulas of special cases. However, the numerical inverse Laplace …

The study of glacial isostatic adjustment (GIA) is gaining an increasingly important role
within the geophysical community. Understanding the response of the Earth to loading is …

The Gaver--Stehfest algorithm for numerical inversion of Laplace transform was developed
in the late 1960s. Due to its simplicity and good performance it is becoming increasingly …

We propose a micromechanics model for aging basic creep of early-age concrete.
Therefore, we formulate viscoelastic boundary value problems on two representative volume …