28 citations · 76 across the 11 of their papers we have counts for
11 papers
High-order Gauss-Legendre methods admit a composition representation and a conjugate-symplectic counterpart
Felice Iavernaro, Francesca Mazzia, Ernst Hairer
One of the most classical pairs of symplectic and conjugate-symplectic schemes is given by the Midpoint method (the Gauss-Runge-Kutta method of order 2) and the Trapezoidal rule. T…
Does the fluid-static equilibrium of a self-gravitating isothermal sphere of van der Waals' gas present multiple solutions?
Domenico Giordano, Pierluigi Amodio, Felice Iavernaro +1
We take up the investigation we left in the future-work stack in Giordano \textit{et al.} [``Fluid statics of a self-gravitational isothermal sphere of van der Waals' gas,'' Phys.…
Fluid statics of a self-gravitating isothermal sphere of van der Waals' gas
Domenico Giordano, Pierluigi Amodio, Felice Iavernaro +3
We subject to scrutiny the physical consistency of adopting the perfect-gas thermodynamic model within self-gravitation circumstances by studying the fluid statics of a self-gravit…
The Object Oriented c++ library QIBSH++ for Hermite spline Quasi Interpolation
Enrico Bertolazzi, Antonella Falini, Francesca Mazzia
The library QIBSH++ is a C++ object oriented library for the solution of Quasi Interpolation problems. The library is based on a Hermite Quasi Interpolating operator, which was der…
On the use of the Infinity Computer architecture to set up a dynamic precision floating-point arithmetic
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro +1
We devise a variable precision floating-point arithmetic by exploiting the framework provided by the Infinity Computer. This is a computational platform implementing the Infinity A…
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…
Temperature and density dependent cooling function for H with updated H/H collisional rates
Carla Maria Coppola, François Lique, Francesca Mazzia +2
The energy transfer among the components in a gas determines its fate. Especially at low temperatures, inelastic collisions drive the cooling and the heating mechanisms. In the ear…
Fluid statics of a self-gravitating perfect-gas isothermal sphere
Domenico Giordano, Pierluigi Amodio, Felice Iavernaro +4
We open the paper with introductory considerations describing the motivations of our long-term research plan targeting gravitomagnetism, illustrating the fluid-dynamics numerical t…
Conjugate-symplecticity properties of Euler--Maclaurin methods and their implementation on the Infinity Computer
F. Iavernaro, F. Mazzia, M. S. Mukhametzhanov +1
Multi-derivative one-step methods based upon Euler-Maclaurin integration formulae are considered for the solution of canonical Hamiltonian dynamical systems. Despite the negative r…
Bivariate hierarchical Hermite spline quasi--interpolation
Cesare Bracco, Carlotta Giannelli, Francesca Mazzia +1
Spline quasi-interpolation (QI) is a general and powerful approach for the construction of low cost and accurate approximations of a given function. In order to provide an efficien…
Fifty Years of Stiffness
Luigi Brugnano, Francesca Mazzia, Donato Trigiante
The notion of stiffness, which originated in several applications of a different nature, has dominated the activities related to the numerical treatment of differential problems fo…