{"title":"Interactive graphical spline approximation to boundary value problems","authors":"J. B. Rosen, Paul S. LaFata","doi":"10.1145/800184.810516","DOIUrl":null,"url":null,"abstract":"Earlier work on interactive graphical approximation of data using linear programming has now been extended to ordinary differential equation multipoint boundary value problems. The approximation is obtained using a suitable spline basis where the degree and uniform knot size is specified by the user. The coefficients of the spline basis are determined so as to minimize the maximum error in the differential equation over a specified discrete grid.","PeriodicalId":126192,"journal":{"name":"ACM '71","volume":"57 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"ACM '71","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/800184.810516","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 4
Abstract
Earlier work on interactive graphical approximation of data using linear programming has now been extended to ordinary differential equation multipoint boundary value problems. The approximation is obtained using a suitable spline basis where the degree and uniform knot size is specified by the user. The coefficients of the spline basis are determined so as to minimize the maximum error in the differential equation over a specified discrete grid.
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