In chapter two , we consider full disceret scheme of mixed finite element methods for the following initial - value problems of linear integro - differential equations of parabolic in this chapter , we give the error analysis of this full discrete scheme and get optimal error estimates for the discrete solutions of u and p 第二章讨论下述线性抛物型积分微分方程初边值问题混合有限元方法的后差全离散格式。给出了该全离散格式的误差分析,得到了离散解逼近未知函数u以及伴随速度p的关于空间和时间的最优阶误差估计。