  The paper studies the convergence of some parallel multisplitting block
iterative methods for the solution of linear systems arising in the numerical
solution of Euler equations. Some sufficient conditions for convergence are
proposed. As special cases the convergence of the parallel block generalized
AOR (BGAOR), the parallel block AOR (BAOR), the parallel block generalized SOR
(BGSOR), the parallel block SOR (BSOR), the extrapolated parallel BAOR and the
extrapolated parallel BSOR methods are presented. Furthermore, the convergence
of the parallel block iterative methods for linear systems with special block
tridiagonal matrices arising in the numerical solution of Euler equations are
discussed. Finally, some examples are given to demonstrate the convergence
results obtained in this paper.
