{"title":"利用理查德森外推法减小一、二维静电问题有限差分解的截断误差","authors":"W. E. Hutchcraft, R. Gordon","doi":"10.1109/SSST.1996.493544","DOIUrl":null,"url":null,"abstract":"Richardson extrapolation can be used to obtain an accurate solution to a problem while being efficient with both computer time and memory. In this paper, Richardson extrapolation is used in conjunction with the finite difference method to solve both one- and two-dimensional electrostatics problems. Numerical results are presented for both cases, and it is seen that high accuracy can be achieved.","PeriodicalId":135973,"journal":{"name":"Proceedings of 28th Southeastern Symposium on System Theory","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1996-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"The use of Richardson extrapolation to reduce the truncation error in the finite difference solution of one and two dimensional electrostatics problems\",\"authors\":\"W. E. Hutchcraft, R. Gordon\",\"doi\":\"10.1109/SSST.1996.493544\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Richardson extrapolation can be used to obtain an accurate solution to a problem while being efficient with both computer time and memory. In this paper, Richardson extrapolation is used in conjunction with the finite difference method to solve both one- and two-dimensional electrostatics problems. Numerical results are presented for both cases, and it is seen that high accuracy can be achieved.\",\"PeriodicalId\":135973,\"journal\":{\"name\":\"Proceedings of 28th Southeastern Symposium on System Theory\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1996-03-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of 28th Southeastern Symposium on System Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SSST.1996.493544\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of 28th Southeastern Symposium on System Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SSST.1996.493544","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The use of Richardson extrapolation to reduce the truncation error in the finite difference solution of one and two dimensional electrostatics problems
Richardson extrapolation can be used to obtain an accurate solution to a problem while being efficient with both computer time and memory. In this paper, Richardson extrapolation is used in conjunction with the finite difference method to solve both one- and two-dimensional electrostatics problems. Numerical results are presented for both cases, and it is seen that high accuracy can be achieved.
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