关于数值计算Evans函数时的全局误差
On the global error committed when evaluating the Evans function numerically
AI总结:
本文分析数值计算Evans函数时出现的阶降现象,并公开了详细计算过程。
摘要:
Evans函数是评估偏微分方程行波解稳定性的工具。近期一篇论文(math.NA/0605581)分析了数值计算Evans函数时出现的阶降现象。为清晰起见,该论文省略了一些冗长计算的细节。本技术报告的目的是公开这些细节。本报告不打算单独阅读;背景和参考文献请参见math.NA/0605581。
英文摘要:
The Evans function is a tool for assessing the stability of travelling wave solutions for partial differential equations. A recent paper (math.NA/0605581) analyzes the order reduction experienced when evaluating the Evans function numerically. The details of some lengthy calculations were excluded from that paper for clarity. The purpose of this technical report is to make these details publicly available. The report is not intended to be read on its own; the reader is referred to math.NA/0605581 for background and references.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。