{"title":"用样条配点法计算圆柱通道内的温度场","authors":"A. V. Sadykov","doi":"10.1134/S1063785025700117","DOIUrl":null,"url":null,"abstract":"<p>A computational scheme is proposed for the numerical solution of the energy equation by the spline collocation method. The spline collocation method uses the representation of cubic splines through normalized B-splines. The system of linear equations with respect to the spline coefficients is solved by the method of variable directions with a variable iterative parameter.</p>","PeriodicalId":784,"journal":{"name":"Technical Physics Letters","volume":"51 1","pages":"27 - 29"},"PeriodicalIF":0.9000,"publicationDate":"2025-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Calculation of the Temperature Field in a Cylindrical Channel by the Spline Collocation Method\",\"authors\":\"A. V. Sadykov\",\"doi\":\"10.1134/S1063785025700117\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>A computational scheme is proposed for the numerical solution of the energy equation by the spline collocation method. The spline collocation method uses the representation of cubic splines through normalized B-splines. The system of linear equations with respect to the spline coefficients is solved by the method of variable directions with a variable iterative parameter.</p>\",\"PeriodicalId\":784,\"journal\":{\"name\":\"Technical Physics Letters\",\"volume\":\"51 1\",\"pages\":\"27 - 29\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2025-07-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Technical Physics Letters\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S1063785025700117\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"PHYSICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Technical Physics Letters","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1134/S1063785025700117","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"PHYSICS, APPLIED","Score":null,"Total":0}
Calculation of the Temperature Field in a Cylindrical Channel by the Spline Collocation Method
A computational scheme is proposed for the numerical solution of the energy equation by the spline collocation method. The spline collocation method uses the representation of cubic splines through normalized B-splines. The system of linear equations with respect to the spline coefficients is solved by the method of variable directions with a variable iterative parameter.
期刊介绍:
Technical Physics Letters is a companion journal to Technical Physics and offers rapid publication of developments in theoretical and experimental physics with potential technological applications. Recent emphasis has included many papers on gas lasers and on lasing in semiconductors, as well as many reports on high Tc superconductivity. The excellent coverage of plasma physics seen in the parent journal, Technical Physics, is also present here with quick communication of developments in theoretical and experimental work in all fields with probable technical applications. Topics covered are basic and applied physics; plasma physics; solid state physics; physical electronics; accelerators; microwave electron devices; holography.