{"title":"关于Richardson外推过程和数值微分公式的注记","authors":"François Dubeau","doi":"10.1016/j.jcpx.2019.100017","DOIUrl":null,"url":null,"abstract":"<div><p>Richardson's extrapolation process is a well known method to improve the order of several approximation processes. Here we observe that for numerical differentiation, Richardson's process can be applied not only to improve the order of a numerical differentiation formula but also to find in fact the original formula.</p></div>","PeriodicalId":37045,"journal":{"name":"Journal of Computational Physics: X","volume":"2 ","pages":"Article 100017"},"PeriodicalIF":0.0000,"publicationDate":"2019-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jcpx.2019.100017","citationCount":"2","resultStr":"{\"title\":\"A remark on Richardson's extrapolation process and numerical differentiation formulae\",\"authors\":\"François Dubeau\",\"doi\":\"10.1016/j.jcpx.2019.100017\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Richardson's extrapolation process is a well known method to improve the order of several approximation processes. Here we observe that for numerical differentiation, Richardson's process can be applied not only to improve the order of a numerical differentiation formula but also to find in fact the original formula.</p></div>\",\"PeriodicalId\":37045,\"journal\":{\"name\":\"Journal of Computational Physics: X\",\"volume\":\"2 \",\"pages\":\"Article 100017\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-03-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/j.jcpx.2019.100017\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Computational Physics: X\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S2590055219300332\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Computational Physics: X","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2590055219300332","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A remark on Richardson's extrapolation process and numerical differentiation formulae
Richardson's extrapolation process is a well known method to improve the order of several approximation processes. Here we observe that for numerical differentiation, Richardson's process can be applied not only to improve the order of a numerical differentiation formula but also to find in fact the original formula.
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