9 citations · 9 across the 4 of their papers we have counts for
7 papers
A didactically motivated reexamination of a particle's quantum mechanics with square-well potentials
Domenico Giordano, Pierluigi Amodio, Felice Iavernaro
We address two questions regarding square-well potentials from a didactic perspective. The first question concerns whether or not the justification of the standard a priori omissio…
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…
Considerations about the incompleteness of the Ehrenfest's theorem in quantum mechanics
Domenico Giordano, Pierluigi Amodio
We describe a study motivated by our interest to examine the incompleteness of the Ehrenfest's theorem in quantum mechanics and to resolve a doubt regarding whether or not the herm…
Mathematical aspects relative to the fluid statics of a self-gravitating perfect-gas isothermal sphere
Pierluigi Amodio, Domenico Giordano, Felice Iavernaro +4
In the present paper we analyze and discuss some mathematical aspects of the fluid-static configurations of a self-gravitating perfect gas enclosed in a spherical solid shell. The…
A note on the continuous-stage Runge-Kutta-(Nyström) formulation of Hamiltonian Boundary Value Methods (HBVMs)
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
In recent years, the class of energy-conserving methods named Hamiltonian Boundary Value Methods (HBVMs) has been devised for numerically solving Hamiltonian problems. In this shor…