In this paper a method for computing hyperbolic matrix functions based on Hermite matrix polynomial expansions is outlined. Hermite series truncation together with Paterson-Stockmeyer method allow to compute the hyperbolic ...
Many scientific and engineering problems are described using Ordinary Differential Equations (ODEs),
where the analytic solution is unknown. Much research has been done by the scientific community
on developing numerical ...
Differential matrix Riccati equations (DMREs) enable to model many physical systems appearing in different branches of science, in some cases, involving very large problem sizes. In this paper, we propose an adaptive ...
In this work, we developed a parallel algorithm to speed up the resolution of differential matrix Riccati
equations using a backward differentiation formula algorithm based on a fixed-point method. The role and
use of ...
[EN] The computation of matrix trigonometric functions has received remarkable attention in
the last decades due to its usefulness in the solution of systems of second order linear
differential equations. Several ...