Cortés López, Juan Carlos; Jódar Sánchez, Lucas Antonio; Romero Bauset, José Vicente; Roselló Ferragud, María Dolores(Elsevier, 2011-11)
The aim of this paper is twofold. First, we deal with the extension to the random framework of the piecewise Fröbenius method to solve Airy differential equations. This extension is based on mean square stochastic calculus. ...
This paper deals with the construction of numerical methods of random initial value problems. Random linear multistep methods are presented and sufficient conditions for their mean square convergence are established. Main ...
Cortés López, Juan Carlos; Jódar Sánchez, Lucas Antonio; Villafuerte Altuzar, Laura; Company Rossi, Rafael(Elsevier, 2011-10)
This paper deals with the construction of a numerical solution of random initial value problems by means of a random improved Euler method. Conditions for the mean square convergence of the proposed method are established. ...
Calbo Sanjuán, Gema; Cortés López, Juan Carlos; Jódar Sánchez, Lucas Antonio(Elsevier, 2011-12-01)
This paper deals with the construction of random power series solution of second order linear differential equations of Hermite containing uncertainty through its coefficients and initial conditions. Under appropriate ...
Calbo Sanjuán, Gema; Cortés López, Juan Carlos; Jódar Sánchez, Lucas Antonio; Villafuerte Altuzar, Laura(Elsevier, 2011-05)
In this paper we construct, by means of random power series, the solution of second order linear differential equations of Legendre-type containing uncertainty through its coefficients and initial conditions. By assuming ...
Ferrer Contreras, Miguel; Diego Antón, María de; González Salvador, Alberto; Piñero Sipán, María Gemma(Institute of Electrical and Electronics Engineers (IEEE), 2012-06)
This paper provides a unified analysis of the steady-state behavior of different multichannel filtered-x affine projection algorithms when used in active noise control (ANC) systems. The analysis deals with two different ...