{"title":"Nordsieck形式的二阶导数一般线性方法","authors":"R. I. Okuonghae, M. Ikhile","doi":"10.33993/jnaat481-1140","DOIUrl":null,"url":null,"abstract":"This paper considers the construction of second derivative general linear methods (SD-GLM) from hybrid LMM and their transformation to NordsieckGLM. How the Runge-Kutta starters for the methods can be derived are given. The representation of the methods in Nordsieck form has the advantage of easy implementation in variable stepsize. \n ","PeriodicalId":287022,"journal":{"name":"Journal of Numerical Analysis and Approximation Theory","volume":"8 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Second derivative General Linear Method in Nordsieck form\",\"authors\":\"R. I. Okuonghae, M. Ikhile\",\"doi\":\"10.33993/jnaat481-1140\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper considers the construction of second derivative general linear methods (SD-GLM) from hybrid LMM and their transformation to NordsieckGLM. How the Runge-Kutta starters for the methods can be derived are given. The representation of the methods in Nordsieck form has the advantage of easy implementation in variable stepsize. \\n \",\"PeriodicalId\":287022,\"journal\":{\"name\":\"Journal of Numerical Analysis and Approximation Theory\",\"volume\":\"8 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-09-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Numerical Analysis and Approximation Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.33993/jnaat481-1140\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Numerical Analysis and Approximation Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.33993/jnaat481-1140","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Second derivative General Linear Method in Nordsieck form
This paper considers the construction of second derivative general linear methods (SD-GLM) from hybrid LMM and their transformation to NordsieckGLM. How the Runge-Kutta starters for the methods can be derived are given. The representation of the methods in Nordsieck form has the advantage of easy implementation in variable stepsize.
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