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. ...
Casabán, M.C.; Cortés, J.-C.; Navarro-Quiles, A.; Romero, José-Vicente; Roselló, María-Dolores; Villanueva Micó, Rafael Jacinto(Elsevier, 2016)
[EN] This paper provides a complete probabilistic description of SIS-type epidemiological models where all the input parameters (contagion rate, recovery rate and initial conditions) are assumed to be random variables. By ...
[EN] The classical kinetic equation has been broadly used to describe reaction and deactivation processes in chemistry. The mathematical formulation of this deterministic nonlinear differential equation depends on reaction ...
[EN] In this paper a randomized version of the Beverton-Holt type discrete model is proposed. Its solution stochastic process and the random steady state are determined. Its first probability density function and second ...
[EN] The aim of this paper is to perform a stochastic analysis of nonlinear oscillators subject to
stationary Gaussian forcing sources using the random perturbation technique along with the
Maximum Entropy Principle. By ...
[EN] This paper deals with the study, from a probabilistic point of view, of logistic-type differential equations with uncertainties. We assume that the initial condition is a random variable and the diffusion coefficient ...
Cortés López, Juan Carlos; Romero Bauset, José Vicente; Roselló Ferragud, María Dolores; Villanueva Micó, Rafael Jacinto(Scientific Research Publishing, 2012)
This paper proposes a stochastic model to study the evolution of normal and excess weight population between 24 - 65 years old in the region of Valencia (Spain). An approximate solution process of the random model is ...
[EN] We combine the stochastic perturbation method with the maximum entropy principle to construct approximations of the first probability density function of the steady-state solution of a class of nonlinear oscillators ...
Romero Bauset, José Vicente; Blanes Zamora, Sergio; Cortés López, Juan Carlos; Roselló Ferragud, María Dolores(Universitat Politècnica de València, 2013-06-26)
Consideramos el sistema de ecuaciones lineales,
M x = d,
con M la matriz de Hilbert de tamaño n y d la suma de la filas de M.
El sistema anterior se resolverá usando los algoritmos de Gauss-Seidel y métodos directos.
Se ...
Salvador Rubio, Francisco Javier; Martínez López, Jorge; Romero Bauset, José Vicente; Roselló Ferragud, María Dolores(Elsevier, 2013-04)
Firstly, the code has been validated at real operating diesel engine conditions with experimental data in terms of mass flow, momentum flux and effective velocity, showing that the model is able to predict with a high level ...
Casabán, M.-C.; Cortés, J.-C.; Navarro-Quiles, A.; Romero, José-Vicente; Roselló, María-Dolores; Villanueva Micó, Rafael Jacinto(Elsevier, 2017)
[EN] The random variable transformation technique is a powerful method to determine the probabilistic solution for random differential equations represented by the first probability density function of the solution stochastic ...
[EN] This paper is devoted to construct approximations of the probability density function of the non-autonomous first-order homogeneous linear random diff erential equation, where the initial condition and the diff usion ...
Cortés, J.-C.; Navarro-Quiles, A.; Romero, José-Vicente; Roselló, María-Dolores(UP4 Institute of Sciences, S.L., 2017)
[EN] In this paper the randomized Cauchy-Euler differential equation is studied. With this aim, from a statistical point of
view, both the first and second probability density functions of the solution stochastic process ...
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 ...
Cortés, J.-C.; Jódar Sánchez, Lucas Antonio; Romero Bauset, José Vicente; Villafuerte, L.(Asian Academic Publisher, 2012)
[EN] In this paper mixed diffusion models under decomposable space-time uncertainty are studied. Existence conditions for constructing a mean square convergent series stochastic solution process are given. Methods for ...
Cortés López, Juan Carlos; Romero Bauset, José Vicente; Roselló Ferragud, María Dolores; Villanueva Micó, Rafael Jacinto(Hindawi Publishing Corporation, 2013)
The consideration of uncertainty in differential equations leads to the emergent area of random differential equations. Under this approach, inputs become random variables and/or stochastic processes. Often one assumes ...
Casabán Bartual, Mª Consuelo; Cortés López, Juan Carlos; Romero Bauset, José Vicente; Roselló Ferragud, María Dolores(Hindawi Publishing Corporation, 2014)
Deterministic differential equations are useful tools for mathematical modelling. The consideration of uncertainty into their formulation leads to random differential equations. Solving a random differential equation means ...
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 ...
Casabán Bartual, Mª Consuelo; Company Rossi, Rafael; Jódar Sánchez, Lucas Antonio; Romero Bauset, José Vicente(Hindawi Publishing Corporation, 2012)
A new discretization strategy is introduced for the numerical solution of partial integrodifferential equations appearing in option pricing jump diffusion models. In order to consider the unknown behaviour of the solution ...