Time filters increase accuracy of the fully implicit method
Time filters increase accuracy of the fully implicit method
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DOI：
10.1007/s10543-018-0695-z
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发表时间：
2018-02
影响因子：
1.5
通讯作者：
A. Guzel;W. Layton
中科院分区：
文献类型：
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作者：
A. Guzel;W. Layton
此报表考虑向全隐式或向后Euler方法添加简单时间过滤器的效果。该方法是模块化的，只需要添加一行额外的代码。误差估计和可变时间步长是直接的，每个步骤的个体效果在概念上是清楚的。在向后欧拉方法的基础上，引入一个曲率减小的时间滤波器，得到一个等价的二步、二阶、A稳定的线性多步法。
This report considers the effect of adding a simple time filter to the fully implicit or backward Euler method. The approach is modular and requires the addition of only one line of additional code. Error estimation and variable time step are straightforward and the individual effect of each step is conceptually clear. The backward Euler method with a curvature reducing time filter induces an equivalent 2-step, second order,A-stable, linear multistep method.