论文标题
对抛物线方程的时间 - 偏裂的后验误差的综述
A review of maximum-norm a posteriori error bounds for time-semidiscretisations of parabolic equations
论文作者
论文摘要
针对应用于一类线性抛物线方程的各种时间间隔率的最大规范中的后验误差估计值。我们总结了文献的结果，并提出了一些新的改进的误差范围。与抛物线能运营商及其导数相关的绿色功能的$ L_1 $ NORM中的一定范围是一定的界限。
A posteriori error estimates in the maximum norm are studied for various time-semidiscretisations applied to a class of linear parabolic equations. We summarise results from the literature and present some new improved error bounds. Crucial ingredients are certain bounds in the $L_1$ norm for the Green's function associated with the parabolic operator and its derivatives.
