Zobrazeno 1 - 10
of 81
pro vyhledávání: '"POPOLIZIO, MARINA"'
Starting from the well-known relationship $|{{\mathrm{e}}}^z| = {{\mathrm{e}}}^{{\mathrm Re}(z)}$, we consider the question whether $|E_{\alpha,\beta}(z)|$ and $E_{\alpha,\beta}({\mathrm Re}(z))$ are comparable, as functions of the complex variable $
Externí odkaz:
http://arxiv.org/abs/2410.11852
Autor:
Giusti, Andrea, Colombaro, Ivano, Garra, Roberto, Garrappa, Roberto, Polito, Federico, Popolizio, Marina, Mainardi, Francesco
Publikováno v:
Fract. Calc. Appl. Anal., Vol. 23, No 1 (2020), pp. 9-54
The Mittag-Leffler function is universally acclaimed as the Queen function of fractional calculus. The aim of this work is to survey the key results and applications emerging from the three-parameter generalization of this function, known as the Prab
Externí odkaz:
http://arxiv.org/abs/2002.10978
Autor:
Garrappa, Roberto, Popolizio, Marina
Publikováno v:
Journal of Scientific Computing, Volume 77, Issue 1, pp 129-153 (2018)
The computation of the Mittag-Leffler (ML) function with matrix arguments, and some applications in fractional calculus, are discussed. In general the evaluation of a scalar function in matrix arguments may require the computation of derivatives of p
Externí odkaz:
http://arxiv.org/abs/1804.04883
Publikováno v:
International Journal of Computer Mathematics, 2019, 96(9), 1799-1817
Some important applicative problems require the evaluation of functions $\Psi$ of large and sparse and/or \emph{localized} matrices $A$. Popular and interesting techniques for computing $\Psi(A)$ and $\Psi(A)\mathbf{v}$, where $\mathbf{v}$ is a vecto
Externí odkaz:
http://arxiv.org/abs/1709.06351
We propose two closely--related Lagrangian numerical methods for the simulation of physical processes involving advection, reaction and diffusion. The methods are intended to be used in settings where the flow is nearly incompressible and the P\'ecle
Externí odkaz:
http://arxiv.org/abs/1707.07973
Autor:
Garrappa, Roberto, Popolizio, Marina
Publikováno v:
Mediterranean Journal of Mathematics, 12(1), 2015, 219-244
This paper focuses on the numerical solution of initial value problems for fractional differential equations of linear type. The approach we propose grounds on expressing the solution in terms of some integral weighted by a generalized Mittag-Leffler
Externí odkaz:
http://arxiv.org/abs/1311.1388
Publikováno v:
In Journal of Computational Physics 1 May 2018 360:229-246
Publikováno v:
In Computers and Mathematics with Applications 1 September 2017 74(5):977-992
Publikováno v:
In Journal of Computational Physics 15 July 2015 293:115-134
Autor:
Politi, Tiziano, Popolizio, Marina
Publikováno v:
In Mathematics and Computers in Simulation April 2015 110:53-68