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<p>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 from DeCaria et al. (J Comput Phys 455:110927, 2022).</p>

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Adaptive Step Selection for a Filtered Implicit Method

  • 期刊论文

  • 发表日期：

    2025年4月1日

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  • Stephen M. McGovern

摘要

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 from DeCaria et al. (J Comput Phys 455:110927, 2022).