{"title":"Numerical Algorithm for Design of Stability Polynomials for the First Order Methods","authors":"E. Novikov, M. V. Rybkov, A. Novikov","doi":"10.3384/ECP17142979","DOIUrl":null,"url":null,"abstract":"The algorithm for coefficients determination for stability polynomials of degree up to m = 35 is developed. The coefficients correspond to explicit Runge-Kutta methods of the first accuracy order. Dependence between values of a polynomial at the points of extremum and both size and form of a stability domain is shown. Numerical results are given.","PeriodicalId":56990,"journal":{"name":"建模与仿真(英文)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2018-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"建模与仿真(英文)","FirstCategoryId":"1093","ListUrlMain":"https://doi.org/10.3384/ECP17142979","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The algorithm for coefficients determination for stability polynomials of degree up to m = 35 is developed. The coefficients correspond to explicit Runge-Kutta methods of the first accuracy order. Dependence between values of a polynomial at the points of extremum and both size and form of a stability domain is shown. Numerical results are given.
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