{"title":"无限区域内混合型算子问题数值解的收敛性研究","authors":"Mikhail Galanin, D. Sorokin","doi":"10.26907/1562-5419-2020-23-4-656-665","DOIUrl":null,"url":null,"abstract":"Methods for solving problems of elliptic equations, based on the third Green formula, was analyzed. New methods for solving a problem with a mixed-type operator in an unbounded domain are proposed. On the basis of the proposed methods, programs for solving problems with a mixed type operator have been created. The results of computational experiments, showing the correctness of the application of methods, are presented.","PeriodicalId":235410,"journal":{"name":"Russ. Digit. Libr. J.","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2020-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Convergence Research of Numerical Methods for Solving Problems With Mixed Type Operator in an Unlimited Area\",\"authors\":\"Mikhail Galanin, D. Sorokin\",\"doi\":\"10.26907/1562-5419-2020-23-4-656-665\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Methods for solving problems of elliptic equations, based on the third Green formula, was analyzed. New methods for solving a problem with a mixed-type operator in an unbounded domain are proposed. On the basis of the proposed methods, programs for solving problems with a mixed type operator have been created. The results of computational experiments, showing the correctness of the application of methods, are presented.\",\"PeriodicalId\":235410,\"journal\":{\"name\":\"Russ. Digit. Libr. J.\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-05-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Russ. Digit. Libr. J.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.26907/1562-5419-2020-23-4-656-665\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Russ. Digit. Libr. J.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.26907/1562-5419-2020-23-4-656-665","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Convergence Research of Numerical Methods for Solving Problems With Mixed Type Operator in an Unlimited Area
Methods for solving problems of elliptic equations, based on the third Green formula, was analyzed. New methods for solving a problem with a mixed-type operator in an unbounded domain are proposed. On the basis of the proposed methods, programs for solving problems with a mixed type operator have been created. The results of computational experiments, showing the correctness of the application of methods, are presented.