{"title":"边值问题的交互式图形样条逼近","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":"{\"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}","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}
Interactive graphical spline approximation to boundary value problems
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.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
