{"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}
引用次数: 3
Abstract
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.