{"title":"CAS在热传导方程超高阶精度格式构建中的应用","authors":"V. Shapeev","doi":"10.1145/1140378.1140387","DOIUrl":null,"url":null,"abstract":"The algorithm of indeterminate coefficients method for constructing difference schemes and its implementation in a computer algebra system (CAS) are described. The set of two-layer schemes with high order of convergence are constructed for the one-dimensional heat conduction equation. The conclusions are proved by numerical experiments.","PeriodicalId":314801,"journal":{"name":"SIGSAM Bull.","volume":"6 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2005-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Application of CAS to constructing schemes of superhigh order of accuracy for heat conduction equation\",\"authors\":\"V. Shapeev\",\"doi\":\"10.1145/1140378.1140387\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The algorithm of indeterminate coefficients method for constructing difference schemes and its implementation in a computer algebra system (CAS) are described. The set of two-layer schemes with high order of convergence are constructed for the one-dimensional heat conduction equation. The conclusions are proved by numerical experiments.\",\"PeriodicalId\":314801,\"journal\":{\"name\":\"SIGSAM Bull.\",\"volume\":\"6 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2005-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"SIGSAM Bull.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/1140378.1140387\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"SIGSAM Bull.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/1140378.1140387","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Application of CAS to constructing schemes of superhigh order of accuracy for heat conduction equation
The algorithm of indeterminate coefficients method for constructing difference schemes and its implementation in a computer algebra system (CAS) are described. The set of two-layer schemes with high order of convergence are constructed for the one-dimensional heat conduction equation. The conclusions are proved by numerical experiments.
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