逆向微分(BDF)方法的区间版本

12th GAMM - IMACS International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics (SCAN 2006) Pub Date : 2006-09-26 DOI:10.1109/SCAN.2006.8

M. Jankowska, A. Marcinak

{"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}

引用次数: 2

摘要

提出了求解常微分方程初值问题的一种区间型后向微分法。所考虑的方法属于区间多步骤方法的一组。在选定的问题上对若干显式和隐式区间多步方法进行了检验，并进行了比较。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

12th GAMM - IMACS International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics (SCAN 2006)

自引率

0.00%

发文量