关于“具人工粘性项的2守恒律组的有限差分格式”一文的注记

A Note on “A Finite Difference Scheme for a System of Two Conservation Laws with Artificial Viscosity”

中文摘要:

      

英文摘要:

      In [ 2 ], D.Hoff analyzes an implicit finite difference scheme for the mixed initial -value Dirichlet problem for a system of two conservation laws with artif ficial viscosity . The system is a model for isentropic flow in one space dimen-sion .However, in [2], there is an additional condition on the state function p(v),(?)For polytropic gas, p(v) = k²v^-γ, where k>0 and 1<γ≤3,the condition (*) is equivalent to 1<γ<2. In the present note, we remove the restriction(*),so that the main results of [2] still hold for the general state function p(v) with p′(v)<0, p″(v)>0.