{"title":"中子输运方程的子域分裂方法","authors":"B.D. Abramov, S.B. Shikhov","doi":"10.1016/0041-5553(90)90110-E","DOIUrl":null,"url":null,"abstract":"<div><p>A family of methods of iterations in subdomains, intended for solving boundary-value problems in neutron transport theory is analysed. These methods are generated by certain schemes for splitting positive operators in Banach spaces with a cone. The comparative characteristics of such methods are studied and the most efficient ones are indicated.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 6","pages":"Pages 74-86"},"PeriodicalIF":0.0000,"publicationDate":"1990-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0041-5553(90)90110-E","citationCount":"3","resultStr":"{\"title\":\"Methods of splitting by subdomains for the neutron transport equation\",\"authors\":\"B.D. Abramov, S.B. Shikhov\",\"doi\":\"10.1016/0041-5553(90)90110-E\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>A family of methods of iterations in subdomains, intended for solving boundary-value problems in neutron transport theory is analysed. These methods are generated by certain schemes for splitting positive operators in Banach spaces with a cone. The comparative characteristics of such methods are studied and the most efficient ones are indicated.</p></div>\",\"PeriodicalId\":101271,\"journal\":{\"name\":\"USSR Computational Mathematics and Mathematical Physics\",\"volume\":\"30 6\",\"pages\":\"Pages 74-86\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1990-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/0041-5553(90)90110-E\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"USSR Computational Mathematics and Mathematical Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/004155539090110E\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"USSR Computational Mathematics and Mathematical Physics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/004155539090110E","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Methods of splitting by subdomains for the neutron transport equation
A family of methods of iterations in subdomains, intended for solving boundary-value problems in neutron transport theory is analysed. These methods are generated by certain schemes for splitting positive operators in Banach spaces with a cone. The comparative characteristics of such methods are studied and the most efficient ones are indicated.
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