10 citations · 22 across the 9 of their papers we have counts for
9 papers
A weak order 2 Runge-Kutta method for Itô stochastic delay differential equations
Alessia andò, Dimitri Breda, Faraz William
We present a Runge-Kutta method of weak order 2 for the numerical time integration of stochastic delay differential equations. This scheme extends the class of second order Runge-K…
Hopf bifurcation and periodic solutions in a sustainable supply chain defined by a planar system of ordinary differential equations
Alessia andò, Dimitri Breda
We analyze the stability of the equilibria and bifurcations of a planar system of ordinary differential equations describing the product-resource interaction in a sustainable suppl…
Approximating evolution operators of linear delay equations: a general framework for the convergence analysis
Alessia andò, Giusy Bosco, Dimitri Breda +1
We consider the problem of discretizing evolution operators of linear delay equations with the aim of approximating their spectra, which is useful in investigating the stability pr…
Exploring Exponential Runge-Kutta Methods: A Survey
Alessia andò, Nicolò Cangiotti, Mattia Sensi
In this survey, we provide an in-depth investigation of exponential Runge-Kutta methods for the numerical integration of initial-value problems. These methods offer a valuable synt…
Nonuniqueness phenomena in discontinuous dynamical systems and their regularizations
Alessia andò, Roderick Edwards, Nicola Guglielmi
In a recent paper by Guglielmi and Hairer (SIADS 2015), an analysis in the limit was proposed of regularized discontinuous ODEs in codimension-2 switching domain…
Piecewise orthogonal collocation for computing periodic solutions of coupled delay equations
Alessia andò, Dimitri Breda
We extend the piecewise orthogonal collocation method to computing periodic solutions of coupled renewal and delay differential equations. Through a rigorous error analysis, we pro…
A pseudospectral method for investigating the stability of linear population models with two physiological structures
Alessia Andò, Simone De Reggi, Davide Liessi +1
The asymptotic stability of the null equilibrium of a linear population model with two physiological structures formulated as a first-order hyperbolic PDE is determined by the spec…
Piecewise orthogonal collocation for computing periodic solutions of renewal equations
Alessia Ando', Dimitri Breda
We extend the use of piecewise orthogonal collocation to computing periodic solutions of renewal equations, which are particularly important in modeling population dynamics. We pro…
Convergence analysis of collocation methods for computing periodic solutions of retarded functional differential equations
Alessia Andò, Dimitri Breda
We analyze the convergence of piecewise collocation methods for computing periodic solutions of general retarded functional differential equations under the abstract framework rece…