{"title":"Extended One-Step Methods: An Exponential Fitting Approach","authors":"M. Van Daele, G. Vanden Berghe","doi":"10.1002/anac.200410003","DOIUrl":null,"url":null,"abstract":"<p>Exponentially fitted versions of the extended one-step methods for first-order ODEs are constructed following the six-step flow chart introduced by Ixaru and Vanden Berghe in <i>Exponential fitting</i>, (Mathematics and Its Application 568, Kluwer Academic Publishers, 2004) and their properties are examined. It is shown how formulae for optimal frequencies can be constructed. Some numerical experiments illustrate the use of the developed algorithms. (© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)</p>","PeriodicalId":100108,"journal":{"name":"Applied Numerical Analysis & Computational Mathematics","volume":"1 2","pages":"353-362"},"PeriodicalIF":0.0000,"publicationDate":"2004-12-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/anac.200410003","citationCount":"10","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Numerical Analysis & Computational Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/anac.200410003","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 10
Abstract
Exponentially fitted versions of the extended one-step methods for first-order ODEs are constructed following the six-step flow chart introduced by Ixaru and Vanden Berghe in Exponential fitting, (Mathematics and Its Application 568, Kluwer Academic Publishers, 2004) and their properties are examined. It is shown how formulae for optimal frequencies can be constructed. Some numerical experiments illustrate the use of the developed algorithms. (© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)
扩展一步法:指数拟合方法
根据Ixaru和Vanden Berghe在指数拟合(Mathematics and Its Application 568, Kluwer Academic Publishers, 2004)中介绍的六步流程，构建了一阶ode扩展一步方法的指数拟合版本，并对其性质进行了检验。说明了如何构造最佳频率的公式。一些数值实验说明了所开发算法的应用。(©2004 WILEY-VCH Verlag GmbH &KGaA公司，Weinheim)
本文章由计算机程序翻译，如有差异，请以英文原文为准。
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