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Mostrando ítems 1-3 de 3

Analysis of the random heat equation via approximate density functions

Calatayud, Julia; Cortés, J.-C. (Editura Academiei Romane, 2021)

[EN] In this paper we study the randomized heat equation with homogeneous boundary conditions. The diffusion coefficient is assumed to be a random variable and the initial condition is treated as a stochastic process. The ...
Probabilistic analysis of a class of 2D-random heat equations via densities

Bevia-Escrig, Vicente-José; Calatayud, J.; Cortés, J.-C. (Elsevier, 2023-12)

[EN] We give new probabilistic results for a class of random two-dimensional homogeneous heat equations with mixed homogeneous Dirichlet and Neumann boundary conditions and an arbitrary initial condition on a rectangular ...
Uncertainty quantification for random parabolic equations with non-homogeneous boundary conditions on a bounded domain via the approximation of the probability density function

Calatayud-Gregori, Julia; Cortés, J.-C.; Jornet-Sanz, Marc (John Wiley & Sons, 2019-11-30)

[EN] This paper deals with the randomized heat equation defined on a general bounded interval [L-1, L-2] and with nonhomogeneous boundary conditions. The solution is a stochastic process that can be related, via changes ...

Mostrando ítems 1-3 de 3