一、引言 A.A.Samarsky在差分格式理论导引一书中,对算子方程三层差分格式稳定性理论作了详细的讨论,得到了稳定的充分条件和先天估计。本文将在此基础上进一步给出若干便于检验的充分条件,特别把这种讨论与发展方程半离散有限元联系起来,我们发现,当所讨论的算子A,B是发展方程半离散标准有限元方程的系数时,我们得到了发展方程的一种 I. INTRODUCTION A.A.Samarsky in the guidance of the theory of differential format in a book, the three-level differential equation stability theory of the operator equation discussed in detail, the sufficient conditions for stability and the priori estimates. Based on this, we give some sufficient conditions for testing. Especially, we associate this discussion with the semi-discrete finite element method of evolution equation. We find that when the operators A and B discussed are the semi-discrete standard finite element method When we get the coefficient of equation, we get a kind of development equation