{"title":"计算机符号集成在有限元开发中的应用","authors":"C. Andersen","doi":"10.1145/1408800.1408851","DOIUrl":null,"url":null,"abstract":"Computerized symbolic integration is used in developing finite element programs. Several classes of integrals which arise in two-dimensional problems are examined to determine whether symbolic integration can compete with numerical quadrature. Group theoretic techniques are employed to reduce the amount of symbolic computation.","PeriodicalId":204185,"journal":{"name":"ACM '74","volume":"18 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Use of computerized symbolic integration in finite element development\",\"authors\":\"C. Andersen\",\"doi\":\"10.1145/1408800.1408851\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Computerized symbolic integration is used in developing finite element programs. Several classes of integrals which arise in two-dimensional problems are examined to determine whether symbolic integration can compete with numerical quadrature. Group theoretic techniques are employed to reduce the amount of symbolic computation.\",\"PeriodicalId\":204185,\"journal\":{\"name\":\"ACM '74\",\"volume\":\"18 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"ACM '74\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/1408800.1408851\",\"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 '74","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/1408800.1408851","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Use of computerized symbolic integration in finite element development
Computerized symbolic integration is used in developing finite element programs. Several classes of integrals which arise in two-dimensional problems are examined to determine whether symbolic integration can compete with numerical quadrature. Group theoretic techniques are employed to reduce the amount of symbolic computation.