Pre-filtering and post-filtering steps can be added to many of the traditional numerical methods to generate new, higher order methods with strong stability properties. Presented in this paper are a variable step pre-filter and post-filter that allow adaptive time stepping for a filtered method based on Implicit Euler.

翻译：在许多传统数值方法中，添加前滤波与后滤波步骤可以生成具有强稳定性特性的新型高阶方法。本文提出了一种可变步长的前滤波与后滤波器，使得基于隐式欧拉法的滤波方法能够实现自适应时间步进。