Consistency and Stability Issues in the Numerical Integration of the First and Second Order Initial Value Problem

• 作者: Isaac Fried
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: INITIAL Value Problems Numerical Integration CONSISTENCY STABILITY Multiple Solutions Sensitivity to INITIAL Conditions Slowing and Advancing the COMPUTED Motion
• 年，卷（期）: 2019,（8）
• 页码范围: 676-690
• 页数: 15页
• 分类号: O1

摘要

In this note we consider some basic, yet unusual, issues pertaining to the accuracy and stability of numerical integration methods to follow the solution of first order and second order initial value problems (IVP). Included are remarks on multiple solutions, multi-step methods, effect of initial value perturbations, as well as slowing and advancing the computed motion in second order problems.