In this work, the performance of Locally Linearized integrators for the numerical simulation of
stochastic oscillators driven by random forces is studied. This includes the reproduction of a …

A new approach for the construction of high order A-stable explicit integrators for ordinary
differential equations (ODEs) is theoretically studied. Basically, the integrators are obtained …

This paper introduces Jacobian-free Locally Linearized Runge–Kutta formulas of Dormand
and Prince for integrating large systems of initial value problems. With these new Jacobian …

In this paper, new Locally Linearized Runge-Kutta formulas of Dormand and Prince are
introduced with the purpose of integrating large systems of initial value problems. The new …

In this paper, the class of Jacobian-free High Order Local Linearization (HOLL) methods is
introduced for integrating large systems of initial value problems. Unlike other high order …

A crucial point for the computational efficiency of the exponential-type integrators for
differential equations is the effective evaluation of the integrals involving matrix exponential …

The combination of the multiple shooting strategy with the generalized Gauss–Newton
algorithm turns out in a recognized method for estimating parameters in ordinary differential …

In this article, approximate linear minimum variance (LMV) filters for continuous-discrete
state space models are introduced. The filters are derived from a wide class of recursive …

Dans le domaine ferroviaire de nombreux incidents ont montré le problème de
l'échauffement de la caténaire au droit du contact avec le pantographe durant le captage de …

El propósito de este trabajo es construir códigos adaptativos del método de Linealización
Local para Ecuaciones Diferenciales Ordinarias (EDO) y analizar su comportamiento …