7 papers
Continuous-Stage Runge-Kutta approximation to Differential Problems
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
In recent years, the efficient numerical solution of Hamiltonian problems has led to the definition of a class of energy-conserving Runge-Kutta methods named Hamiltonian Boundary V…
Arbitrary high-order methods for one-sided direct event location in discontinuous differential problems with nonlinear event function
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
In this paper we are concerned with numerical methods for the one-sided event location in discontinuous differential problems, whose event function is nonlinear (in particular, of…
The hidden side of COVID-19 spread in Italy
Luigi Brugnano, Felice Iavernaro, Paolo Zanzottera
Background. The paper concerns the SARS-CoV2 (COVID-19) pandemic that, starting from the end of February 2020, began spreading along the Italian peninsula, by first attacking small…
A multi-region variant of the SIR model and its extensions
Luigi Brugnano, Felice Iavernaro
In this note, we describe simple generalizations of the basic SIR model for epidemic, in case of a multi-region scenario, to be used for predicting the COVID-19 epidemic spread in…
Arbitrarily high-order energy-preserving methods for simulating the gyrocenter dynamics of charged particles
Luigi Brugnano, Felice Iavernaro, Ruili Zhang
Gyrocenter dynamics of charged particles plays a fundamental role in plasma physics. In particular, accuracy and conservation of energy are important features for correctly perform…
Spectrally accurate space-time solution of Manakov systems
Luigi Barletti, Luigi Brugnano, Yifa Tang +1
In this paper, we study the numerical solution of Manakov systems by using a spectrally accurate Fourier decomposition in space, coupled with a spectrally accurate time integration…