{"title":"An Interval Version of the Backward Differentiation (BDF) Method","authors":"M. Jankowska, A. Marcinak","doi":"10.1109/SCAN.2006.8","DOIUrl":null,"url":null,"abstract":"We present an interval version of the backward differentiation method for solving the initial value problem (IVP) for ordinary differential equations (ODEs). The method considered belongs to a group of the interval multistep methods. A number of the explicit and implicit interval multistep methods are tested on selected problems and the comparison is given.","PeriodicalId":388600,"journal":{"name":"12th GAMM - IMACS International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics (SCAN 2006)","volume":"29 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2006-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"12th GAMM - IMACS International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics (SCAN 2006)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SCAN.2006.8","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
We present an interval version of the backward differentiation method for solving the initial value problem (IVP) for ordinary differential equations (ODEs). The method considered belongs to a group of the interval multistep methods. A number of the explicit and implicit interval multistep methods are tested on selected problems and the comparison is given.
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