The theory of scale functions for spectrally negative Lévy processes

S Cohen, A Kuznetsov, AE Kyprianou, V Rivero… - Lévy Matters II: Recent …, 2013 - Springer
The purpose of this review article is to give an up to date account of the theory and
applications of scale functions for spectrally negative Lévy processes. Our review also …

Retrial queueing systems

JR Artalejo, A Gómez-Corral - Mathematical and Computer Modelling, 1999 - Springer
We consider a branch of queueing theory, retrial queueing systems, which is characterized
by the following basic assumption: a customer who cannot receive service (due to finite …

An analytic approach for modeling the coverage performance of dense satellite networks

A Al-Hourani - IEEE Wireless Communications Letters, 2021 - ieeexplore.ieee.org
Connectivity provided from space is the ultimate method for a true and uninterrupted global
coverage, where there are several massive satellite constellations that are currently …

Boundary particle method for Laplace transformed time fractional diffusion equations

ZJ Fu, W Chen, HT Yang - Journal of Computational Physics, 2013 - Elsevier
This paper develops a novel boundary meshless approach, Laplace transformed boundary
particle method (LTBPM), for numerical modeling of time fractional diffusion equations. It …

Numerical approximation of fractional‐order Volterra integrodifferential equation

X Qiang, Kamran, A Mahboob… - Journal of Function …, 2020 - Wiley Online Library
Laplace transform is a powerful tool for solving differential and integrodifferential equations
in engineering sciences. The use of Laplace transform for the solution of differential or …

Open problems in queueing theory inspired by datacenter computing

M Harchol-Balter - Queueing Systems, 2021 - Springer
Datacenter operations today provide a plethora of new queueing and scheduling problems.
The notion of a “job” has become more general and multi-dimensional. The ways in which …

On the Approximation of Fractal-Fractional Differential Equations Using Numerical Inverse Laplace Transform Methods.

S Ahmad, K Shah, T Abdeljawad… - … in Engineering & …, 2023 - search.ebscohost.com
Laplace transform is one of the powerful tools for solving differential equations in
engineering and other science subjects. Using the Laplace transform for solving differential …

Numerical inverse Laplace transformation using concentrated matrix exponential distributions

G Horváth, I Horváth, SAD Almousa, M Telek - Performance Evaluation, 2020 - Elsevier
This paper investigates the performance of the numerical inverse Laplace transformation
(ILT) method based on concentrated matrix exponential (CME) distributions, referred to as …

How individuals change language

RA Blythe, W Croft - Plos one, 2021 - journals.plos.org
Languages emerge and change over time at the population level though interactions
between individual speakers. It is, however, hard to directly observe how a single speaker's …

On different numerical inverse Laplace methods for solute transport problems

Q Wang, H Zhan - Advances in Water Resources, 2015 - Elsevier
Numerical inversion is required when Laplace transform cannot be inverted analytically by
manipulating tabled formulas of special cases. However, the numerical inverse Laplace …