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.

中文翻译：

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计算物理学中的六个教科书错误

本文讨论了出现在数值方法和计算物理学教科书中的几个错误主张。这些不是个别作者所犯的错别字或错误，而是普遍存在的误解。为了阻止这些问题进一步传播，我们在此讨论它们以及一些背景评论。在每种情况下，我们还提供更正，旨在总结专家已知但在介绍性文献中经常被错误处理的材料。为了使错误和更正易于理解，我们从基础物理和数学中提取了具体示例。我们还借此机会为希望更详细地研究特定主题的读者提供专业文献的指导。