{"title":"Numerical Approximation to the n-th Derivatives","authors":"Yong Jiang, Yu Dai, Yumei Li","doi":"10.1109/ICIC.2011.82","DOIUrl":null,"url":null,"abstract":"Continuing the work of [1], this paper considers mainly the approximation to the n-th derivatives of functions, and develops an effective algorithm with its convergence and error estimate by the method of numerical integration. As an application, the algorithm is used to evaluate the integration of highly oscillatory functions and proves efficient.","PeriodicalId":6397,"journal":{"name":"2011 Fourth International Conference on Information and Computing","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2011-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2011 Fourth International Conference on Information and Computing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICIC.2011.82","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Continuing the work of [1], this paper considers mainly the approximation to the n-th derivatives of functions, and develops an effective algorithm with its convergence and error estimate by the method of numerical integration. As an application, the algorithm is used to evaluate the integration of highly oscillatory functions and proves efficient.
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