计算物理中的六个教科书错误
Six textbook mistakes in computational physics
摘要：
本文讨论了数值方法和计算物理教材中出现的几个错误说法。这些不是个别作者犯的错别字或错误，而是普遍存在的误解。为了阻止这些问题进一步传播，我们在这里讨论它们，以及一些背景评论。在每一种情况下，我们也提供了一个更正，这是为了总结材料，是已知的专家，但经常被错误处理的介绍性文献。为了使错误和更正易于理解，我们提出了从基础物理和数学中提取的具体例子。我们也借此机会为希望更详细地研究给定主题的读者提供专业文献的指针。
英文摘要：
This article discusses several erroneous claims which appear in textbooks on numerical methods and computational physics. These are not typos or mistakes an individual author has made, but widespread misconceptions. In an attempt to stop these issues from further propagating, we discuss them here, along with some background comments. In each case, we also provide a correction, which is aimed at summarizing material that is known to experts but is frequently mishandled in the introductory literature. To make the mistakes and corrections easy to understand, we bring up specific examples drawn from elementary physics and math. We also take this opportunity to provide pointers to the specialist literature for readers who wish to delve into a given topic in more detail.
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。
