{"title":"An investigation of the stability of certain two-layer difference schemes","authors":"N.Yu. Bakayev","doi":"10.1016/0041-5553(90)90015-K","DOIUrl":null,"url":null,"abstract":"<div><p>Estimates of the stability of weighted difference schemes in the norms of Banach spaces are constructed. On the basis of these, corresponding estimates are obtained for the stability, in the norms of the spaces <em>C</em><sub><em>h</em></sub> and <em>L</em><sub><em>ph</em></sub>, 1 ⩽ <em>p</em> ∞, of difference schemes which approximate an initial-boundary value problem for the heat-conduction equation with boundary conditions of the first, second and third kinds.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 1","pages":"Pages 114-117"},"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)90015-K","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"USSR Computational Mathematics and Mathematical Physics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/004155539090015K","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Estimates of the stability of weighted difference schemes in the norms of Banach spaces are constructed. On the basis of these, corresponding estimates are obtained for the stability, in the norms of the spaces Ch and Lph, 1 ⩽ p ∞, of difference schemes which approximate an initial-boundary value problem for the heat-conduction equation with boundary conditions of the first, second and third kinds.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
