The use of Richardson extrapolation to reduce the truncation error in the finite difference solution of one and two dimensional electrostatics problems
{"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}
引用次数: 2
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.
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