| 郑永树.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[J].数学研究及应用,1989,9(2):238~240 |
| 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” |
| 投稿时间：1987-05-25 |
| DOI：10.3770/j.issn:1000-341X.1989.02.014 |
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| 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. |
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