Chen Charpentier, Benito Miguel; Cortés López, Juan Carlos; Licea Salazar, Juan Antonio; Romero Bauset, José Vicente; Roselló Ferragud, María Dolores; Santonja, F.; Villanueva Micó, Rafael Jacinto(Elsevier, 2015-03)
Due to errors in measurements and inherent variability in the quantities of interest, models based on random differential equations give more realistic results than their deterministic counterpart. The generalized polynomial ...
Chen Charpentier, Benito Miguel; Cortés López, Juan Carlos; Romero Bauset, José Vicente; Roselló Ferragud, María Dolores(Elsevier, 2013-05)
The aim of this paper is to explore whether the generalized polynomial chaos (gPC)
and random Fröbenius methods preserve the first three statistical moments of random
differential equations. There exist exact solutions ...
This paper presents a method for constructing polynomial approximations of the solutions of nonlinear initial value systems of differential equations. Given an a priori chosen accuracy, the degree of the vector polynomial ...
Chen Charpentier, Benito Miguel; Cortés López, Juan Carlos; Romero Bauset, José Vicente; Roselló Ferragud, María Dolores(Elsevier, 2013-01-01)
In this paper we study the use of the generalized polynomial chaos method to differential equations describing a model that depends on more than one random input. This random input can be in the form of parameters or of ...