{"title":"通过散度定理用曲面积分逼近体积积分","authors":"S. Dragomir","doi":"10.4064/am2393-1-2020","DOIUrl":null,"url":null,"abstract":". In this paper, by utilising the famous Divergence Theorem for n - dimensional integral, we provide some error estimates in approximating the integral on a body B; a bounded closed subset of R n ( n (cid:21) 2) with smooth (or piecewise smooth) boundary @B; by an integral on the surface @B and some other simple terms. Some examples for 3 -dimensional case are also given.","PeriodicalId":52313,"journal":{"name":"Applicationes Mathematicae","volume":"32 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Approximating the volume integral by a surface integral via the divergence theorem\",\"authors\":\"S. Dragomir\",\"doi\":\"10.4064/am2393-1-2020\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". In this paper, by utilising the famous Divergence Theorem for n - dimensional integral, we provide some error estimates in approximating the integral on a body B; a bounded closed subset of R n ( n (cid:21) 2) with smooth (or piecewise smooth) boundary @B; by an integral on the surface @B and some other simple terms. Some examples for 3 -dimensional case are also given.\",\"PeriodicalId\":52313,\"journal\":{\"name\":\"Applicationes Mathematicae\",\"volume\":\"32 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Applicationes Mathematicae\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4064/am2393-1-2020\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applicationes Mathematicae","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4064/am2393-1-2020","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
Approximating the volume integral by a surface integral via the divergence theorem
. In this paper, by utilising the famous Divergence Theorem for n - dimensional integral, we provide some error estimates in approximating the integral on a body B; a bounded closed subset of R n ( n (cid:21) 2) with smooth (or piecewise smooth) boundary @B; by an integral on the surface @B and some other simple terms. Some examples for 3 -dimensional case are also given.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
