EXPANSION OF STEP-TRANSITION OPERATOR OF MULTI-STEP METHOD AND ITS APPLICATIONS (I)

• 来源期刊: 计算数学（英文版）
• 关键词: Multi-step method Step-transition operator Expansion.
• 年，卷（期）: 2002,（2）
• 页码范围: 185-196
• 页数: 12页
• 语种: 英文

摘要

We expand the step-transition operator of any linear multi-step method with order s ≥ 2 up to O(τs+5). And through examples we show how much the perturbation of the step-transition operator caused by the error of initial value is.