{"title":"A class of hybrid linear multistep methods with A(ɑ)-stability properties for stiff IVPs in ODEs","authors":"R. Okuonghae, M. Ikhile","doi":"10.1515/jnum-2013-0006","DOIUrl":null,"url":null,"abstract":"Abstract In this paper, we consider a family of hybrid linear multistep methods (LMM) with reasonable error order for the numerical solution of stiff initial value problems (IVPs) in ordinary differential equations (ODEs). The methods are A(ɑ)-stable for k = 1, ...,9.","PeriodicalId":342521,"journal":{"name":"J. Num. Math.","volume":"26 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"20","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"J. Num. Math.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/jnum-2013-0006","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 20
Abstract
Abstract In this paper, we consider a family of hybrid linear multistep methods (LMM) with reasonable error order for the numerical solution of stiff initial value problems (IVPs) in ordinary differential equations (ODEs). The methods are A(ɑ)-stable for k = 1, ...,9.
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