{"title":"Efficient evaluation of integrals of analytic functions by the trapezoidal rule","authors":"S. Rice","doi":"10.1002/J.1538-7305.1973.TB01986.X","DOIUrl":null,"url":null,"abstract":"Definite integrals of analytic functions can often be evaluated efficiently by the trapezoidal rule after a suitable transformation. Here the work of Moran1 and Schwartz2 along this line is extended. First the dependence of the error on the spacing is discussed, and then several types of transformations are described and applied to integrals of technical interest.","PeriodicalId":55391,"journal":{"name":"Bell System Technical Journal","volume":"41 1","pages":"707-722"},"PeriodicalIF":0.0000,"publicationDate":"1973-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"74","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bell System Technical Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1002/J.1538-7305.1973.TB01986.X","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 74
Abstract
Definite integrals of analytic functions can often be evaluated efficiently by the trapezoidal rule after a suitable transformation. Here the work of Moran1 and Schwartz2 along this line is extended. First the dependence of the error on the spacing is discussed, and then several types of transformations are described and applied to integrals of technical interest.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
