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Improving the approximation of the first and second order statistics of the response stochastic process to the random Legendre differential equation

Calatayud-Gregori, Julia; Cortés, J.-C.; Jornet-Sanz, Marc (Springer-Verlag, 2019-06)

[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 ...
On the Legendre differential equation with uncertainties at the regular-singular point 1: Lp random power series solution and approximation of its statistical moments

Calatayud-Gregori, Julia; Cortés, J.-C.; Jornet-Sanz, Marc (John Wiley & Sons, 2019-07)

[EN] In this paper, we construct two linearly independent response processes to the random Legendre differential equation on (-1,1)U(1,3), consisting of Lp(omega) convergent random power series around the regular¿singular ...
Some notes to extend the study on random non-autonomous second order linear differential equations appearing in Mathematical Modeling

Calatayud-Gregori, Julia; Cortés, J.-C.; Jornet-Sanz, Marc (MDPI AG, 2018)

[EN] The objective of this paper is to complete certain issues from our recent contribution (Calatayud, J.; Cortés, J.-C.; Jornet, M.; Villafuerte, L. Random non-autonomous second order linear differential equations: ...

Mostrando ítems 1-3 de 3