S. Akesbi et al., SPLITTING METHOD AND ACCELERATION OF THE CONVERGENCE IN TRANSPORT-THEORY, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 319(7), 1994, pp. 765-770
We give in this work an efficient algorithm for solving one dimensiona
l transport equations. It consists in splitting the transport operator
into positive and negative parts corresponding to positive and negati
ve velocities. Such a decomposition yields an acceleration of converge
nce result.