数学物理学报(英文版) ›› 1989, Vol. 9 ›› Issue (1): 33-42.
王靖华
Wang Jinghua
摘要： A natural generalization of random choice finite difference scheme of Harten and Lax for Courant number larger than 1 is obtained. We handle interactions between neighboring Riemann solvers by linear superposition of their conserved quantities. We show consistency of the scheme for arbitrarily large Courant numbers. For scalar problems the scheme is total variation diminishing.A brief discussion is given for entropy condition.