时间滤波对隐式方法的影响分析：提高精度与稳定性
Analysis of the effect of Time Filters on the implicit method: increased accuracy and improved stability
AI总结：
本文研究时间滤波对隐式方法的影响，提出一种改进方法，通过增加一行代码实现模块化，提升精度和稳定性，开发出一种二阶线性多步方法。
摘要：
本报告考虑了通过时间滤波实现的线性多步方法。该方法具有多个优点。它具有模块化特性，仅需添加一行额外代码即可实现。误差估计和可变时间步长处理简便，且每个步骤的个体影响在概念上清晰。我们为后向欧拉方法开发了该方法，并引入一种曲率减少的时间滤波器，从而得到一种二阶、强稳定、线性多步方法。
英文摘要：
This report considers linear multistep methods through time filtering. The approach has several advantages. It is modular and requires the addition of only one line of additional code. Error estimation and variable timesteps is straightforward and the individual effect of each step\ is conceptually clear. We present its development for the backward Euler method and a curvature reducing time filter leading to a 2-step, strongly A-stable, second order linear multistep method.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
