TY - GEN AU - Calatayud, Julia AU - Cortés, Juan Carlos AU - Díaz Navas, José Antonio AU - Jornet, Marc PY - 2020 UR - https://hdl.handle.net/10481/96032 AB - We study the random heat partial differential equation on a bounded domain assuming that the diffusion coefficient and the boundary conditions are random variables, and the initial condition is a stochastic process. Under general conditions, this... LA - eng KW - Random heat partial differential equation KW - Probability density function KW - Numerical method KW - Uncertainty quantification KW - Finite difference scheme TI - Constructing reliable approximations of the probability density function to the random heat PDE via a finite difference scheme DO - 10.1016/j.apnum.2020.01.012 ER -