论文标题
计算物理学中的六本教科书错误
Six textbook mistakes in computational physics
论文作者
论文摘要
本文讨论了几种错误的主张,这些主张出现在有关数值方法和计算物理学的教科书中。这些不是单个作者犯的错别字或错误,而是广泛的误解。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。在每种情况下,我们还提供了一种更正,该更正旨在总结专家已知但经常在介绍性文献中犯错的材料。为了使错误和更正易于理解,我们提出了基本物理和数学的特定示例。我们还借此机会为希望更详细地研究给定主题的读者提供了专业文献的指示。
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.