[EN] In this work, we study the full randomized versions of Airy, Hermite and Laguerre differential equations, which depend on a random variable appearing as an equation coefficient as well as two random initial conditions. ...
Calatayud, J.; Cortés, J.-C.; Dorini, F. A.; Jornet, M.(Elsevier, 2020-06)
[EN] In this paper we extend the study on the linear advection equation with independent stochastic velocity and initial condition performed in Dorini and Cunha (2011). By using both existing and novel results on the ...
[EN] In this paper, we deal with uncertainty quantification for the random Legendre differential equation, with input coefficient A and initial conditions X-0 and X-1. In a previous study (Calbo et al. in Comput Math Appl ...
Cortés, J.-C.; Jódar Sánchez, Lucas Antonio; Company Rossi, Rafael; Villafuerte, Laura(University of Manitoba - Department of Computer Science, 2015-11)
[EN] In this paper we introduce the Laguerre polynomials as mean square solutions of random differential equations. The study is based on the construction of an infinite random power series solution which becomes a random ...
Calbo Sanjuán, Gema(Universitat Politècnica de València, 2010-11-02)
El objetivo de este proyecto de tesis doctoral es el desarrollo de técnicas analítico-numéricas para resolver, en media cuadrática problemas, de valores iniciales de ecuaciones y sistemas de ecuaciones en diferencias y ...
Casabán, M.-C.; Company Rossi, Rafael; Jódar Sánchez, Lucas Antonio(Elsevier, 2023-01)
[EN] This paper deals with the construction of numerical solutions of moving boundary random problems where the uncertainty is limited to a finite degree of randomness in the mean square framework. Using a front fixing ...
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. ...
Calatayud Gregori, Julia; Cortés, J.-C.; Jornet Sanz, Marc(American Institute of Mathematical Sciences, 2022-02)
[EN] This paper deals with the random wave equation on a bounded domain with Dirichlet boundary conditions. Randomness arises from the velocity wave, which is a positive random variable, and the two initial conditions, ...
Burgos-Simon, Clara; Cortés, J.-C.; Debbouche, A.; Villafuerte, L.; Villanueva Micó, Rafael Jacinto(Elsevier, 2019)
[EN] The aim of this paper is to study a generalization of fractional Airy differential equations whose input data (coefficient and initial conditions) are random variables. Under appropriate hypotheses assumed upon the ...
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 ...