{"title":"初值问题的非线性龙格-库塔公式","authors":"D. J. Evans, B. Sanugi","doi":"10.1145/36318.36322","DOIUrl":null,"url":null,"abstract":"New non-linear Runge-Kutta methods for solving initial value problems are shown to be obtained by the strategic use of geometric mean (GM) rather than arithmetic mean averaging of the functional values in the standard integration formula.","PeriodicalId":177516,"journal":{"name":"ACM Signum Newsletter","volume":"118 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1987-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"A nonlinear Runge-Kutta formula for initial value problems\",\"authors\":\"D. J. Evans, B. Sanugi\",\"doi\":\"10.1145/36318.36322\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"New non-linear Runge-Kutta methods for solving initial value problems are shown to be obtained by the strategic use of geometric mean (GM) rather than arithmetic mean averaging of the functional values in the standard integration formula.\",\"PeriodicalId\":177516,\"journal\":{\"name\":\"ACM Signum Newsletter\",\"volume\":\"118 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1987-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"ACM Signum Newsletter\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/36318.36322\",\"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 Signum Newsletter","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/36318.36322","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A nonlinear Runge-Kutta formula for initial value problems
New non-linear Runge-Kutta methods for solving initial value problems are shown to be obtained by the strategic use of geometric mean (GM) rather than arithmetic mean averaging of the functional values in the standard integration formula.