1 citations · 2 across the 5 of their papers we have counts for
5 papers
Exponential Runge-Kutta methods for delay equations in the sun-star abstract framework
Alessia Ando', Rossana Vermiglio
Exponential Runge-Kutta methods for semilinear ordinary differential equations can be extended to abstract differential equations, defined on Banach spaces. Thanks to the sun-star…
A practical guide to piecewise pseudospectral collocation for Floquet multipliers of delay equations in MATLAB
Dimitri Breda, Davide Liessi, Rossana Vermiglio
In recent years we provided numerical methods based on pseudospectral collocation for computing the Floquet multipliers of different types of delay equations, with the goal of stud…
Bivariate collocation for computing in epidemic models with two structures
Dimitri Breda, Simone De Reggi, Francesca Scarabel +2
Structured epidemic models can be formulated as first-order hyperbolic PDEs, where the "spatial" variables represent individual traits, called structures. For models with two struc…
Numerical bifurcation analysis of renewal equations via pseudospectral approximation
Francesca Scarabel, Odo Diekmann, Rossana Vermiglio
We propose an approximation of nonlinear renewal equations by means of ordinary differential equations. We consider the integrated state, which is absolutely continuous and satisfi…
Efficient numerical computation of the basic reproduction number for structured populations
Dimitri Breda, Francesco Florian, Jordi Ripoll +1
As widely known, the basic reproduction number plays a key role in weighing birth/infection and death/recovery processes in several models of population dynamics. In this general s…