Artículos de revistas
A numerical scheme for the variance of the solution of the random transport equation
Registro en:
Applied Mathematics And Computation. Elsevier Science Inc, v. 190, n. 1, n. 362, n. 369, 2007.
0096-3003
WOS:000247803500034
10.1016/j.amc.2007.01.038
Autor
Cunha, MCC
Dorini, FA
Institución
Resumen
We present a numerical scheme, based on Godunov's method (REA algorithm), for the variance of the solution of the ID random linear transport equation, with homogeneous random velocity and stochastic initial condition. We obtain the stability conditions of the method and we also show its consistency with a deterministic nonhomogeneous advective-diffusive equation, which means convergency. Numerical results are considered to validate our scheme. (c) 2007 Elsevier Inc. All rights reserved. 190 1 362 369