Scholarlink

<p>The theory for computing the phase-lag and amplification-factor for both explicit and implicit multistep approaches for first-order differential equations was recently established by one of the authors. The goal of this work is to design high order Adams–Bashforth algorithms that eliminate the phase-lag, amplification-factor, and their respective derivatives. The stability zones of the recently developed approaches will also be presented. Additionally, we will discuss our findings from numerical experiments using the recently created techniques.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

High-Order Adams–Bashforth Methods for First-Order IVPs with Oscillating Solutions

  • 期刊论文

  • 发表日期：

    2025年6月25日

查看全文
  • Mei Hong,
  • Chia-Liang Lin,
  • Theodore E. Simos

摘要

The theory for computing the phase-lag and amplification-factor for both explicit and implicit multistep approaches for first-order differential equations was recently established by one of the authors. The goal of this work is to design high order Adams–Bashforth algorithms that eliminate the phase-lag, amplification-factor, and their respective derivatives. The stability zones of the recently developed approaches will also be presented. Additionally, we will discuss our findings from numerical experiments using the recently created techniques.