双曲型双边值差分逼近G.K.S.稳定条件的代数形式

The Criterion of the G.K.S. Stability with the Double Boundaries Value Problems for the Hiperbolic Difference Approximation

(数学系) 导出双曲型偏微分方程式双边值问题差分逼近的G.K.S.稳定性判别条件的代数形式,并得到判别G.K.S.稳定性的若干定理。

The purpose of this paper is to deduce the criterion of the G. K, S. stability with the initial-boundary value problems for the hyperbolic difference approximation to the initial double boundaries value problems. Several theorems with respect to the criterion of the G. K. S. stability in algebraic form are obtained.