{"title":"解泊松方程的直接方法","authors":"B. L. Buzbee, G. Golub, C. Nielson","doi":"10.1137/0707049","DOIUrl":null,"url":null,"abstract":"Some efficient and accurate direct methods are developed for solving certain elliptic partial difference equations over a rectangle with Dirichlet, Neumann or periodic boundary conditions. Generalizations to higher dimensions and to L-shaped regions are included.","PeriodicalId":250823,"journal":{"name":"Milestones in Matrix Computation","volume":"48 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1970-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"287","resultStr":"{\"title\":\"On direct methods for solving Poisson's equation\",\"authors\":\"B. L. Buzbee, G. Golub, C. Nielson\",\"doi\":\"10.1137/0707049\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Some efficient and accurate direct methods are developed for solving certain elliptic partial difference equations over a rectangle with Dirichlet, Neumann or periodic boundary conditions. Generalizations to higher dimensions and to L-shaped regions are included.\",\"PeriodicalId\":250823,\"journal\":{\"name\":\"Milestones in Matrix Computation\",\"volume\":\"48 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1970-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"287\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Milestones in Matrix Computation\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1137/0707049\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Milestones in Matrix Computation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1137/0707049","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Some efficient and accurate direct methods are developed for solving certain elliptic partial difference equations over a rectangle with Dirichlet, Neumann or periodic boundary conditions. Generalizations to higher dimensions and to L-shaped regions are included.
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