{"title":"逆向微分(BDF)方法的区间版本","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":"{\"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}","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}
An Interval Version of the Backward Differentiation (BDF) Method
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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