Zobrazeno 1 - 10
of 71
pro vyhledávání: '"Antonia Vecchio"'
Publikováno v:
Mathematical Biosciences and Engineering, Vol 20, Iss 7, Pp 11656-11675 (2023)
In this paper we consider a non-standard discretization to a Volterra integro-differential system which includes a number of age-of-infection models in the literature. The aim is to provide a general framework to analyze the proposed scheme for the n
Externí odkaz:
https://doaj.org/article/b4747fc8a1114a89a209634f6633cad2
Publikováno v:
Axioms, Vol 11, Iss 2, p 69 (2022)
In this paper, we study a dynamically consistent numerical method for the approximation of a nonlinear integro-differential equation modeling an epidemic with age of infection. The discrete scheme is based on direct quadrature methods with Gregory co
Externí odkaz:
https://doaj.org/article/2ad29fbbb3c24ecea28ab2d0fe0bb4f0
Autor:
Eleonora Messina, Antonia Vecchio
Publikováno v:
Axioms, Vol 10, Iss 1, p 23 (2021)
In this paper, the asymptotic behaviour of the numerical solution to the Volterra integral equations is studied. In particular, a technique based on an appropriate splitting of the kernel is introduced, which allows one to obtain vanishing asymptotic
Externí odkaz:
https://doaj.org/article/8b051b53519445cea053edad9a6a61d9
Publikováno v:
Mathematics, Vol 8, Iss 7, p 1133 (2020)
This paper describes the effect of perturbation of the kernel on the solutions of linear Volterra integral equations on time scales and proposes a new perspective for the stability analysis of numerical methods.
Externí odkaz:
https://doaj.org/article/e187f532c32b4318ae5b0b17701bb183
Autor:
Eleonora Messina, Antonia Vecchio
Publikováno v:
Discrete Dynamics in Nature and Society, Vol 2015 (2015)
We consider Volterra integral equations on time scales and present our study about the long time behavior of their solutions. We provide sufficient conditions for the stability and investigate the convergence properties when the kernel of the equatio
Externí odkaz:
https://doaj.org/article/a45ff280b96c4e90bc5a91fbf53c8f54
Autor:
Woula Themistoclakis, Antonia Vecchio
Publikováno v:
Discrete Dynamics in Nature and Society, Vol 2012 (2012)
We consider a weakly nonlinear system of the form (𝐼+𝜑(𝑥)𝐴)𝑥=𝑝, where 𝜑(𝑥) is a real function of the unknown vector 𝑥, and (𝐼+𝜑(𝑥)𝐴) is an 𝑀-matrix. We propose to solve it by means of a sequence of linear sys
Externí odkaz:
https://doaj.org/article/a49fb4847a6a438080f795ff657fa1ce
Publikováno v:
Discrete Dynamics in Nature and Society, Vol 2009 (2009)
We present a set of difference equations which generalizes that proposed in the work of G. Izzo and A. Vecchio (2007) and represents the discrete counterpart of a larger class of continuous model concerning the dynamics of an infection in an organism
Externí odkaz:
https://doaj.org/article/ad81622c794b4fc099dc9788fc44f443
Publikováno v:
International Journal of Dynamics and Control. 11:574-584
We present a novel approach to the system inversion problem for linear, scalar (i.e. single-input, single-output, or SISO) plants. The problem is formulated as a constrained optimization program, whose objective function is the transition time betwee
Publikováno v:
Journal of Computational and Applied Mathematics. 425:115068