{"title":"求解超立方体上的非线性偏微分方程","authors":"C. Siva Ram Murthy","doi":"10.1016/0141-1195(90)90037-7","DOIUrl":null,"url":null,"abstract":"<div><p>This paper presents an efficient parallel algorithm for solving nonlinear Partial Differential Equations (PDEs), occurring in heat transfer and fluid flow simulation, on hypercube machines. To evaluate its performance, an expression for the efficiency of the algorithm is derived. The results show that the hypercubes are well suited for solving nonlinear PDEs.</p></div>","PeriodicalId":100043,"journal":{"name":"Advances in Engineering Software (1978)","volume":"12 1","pages":"Pages 17-20"},"PeriodicalIF":0.0000,"publicationDate":"1990-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0141-1195(90)90037-7","citationCount":"1","resultStr":"{\"title\":\"Solving nonlinear Partial Differential Equations on hypercubes\",\"authors\":\"C. Siva Ram Murthy\",\"doi\":\"10.1016/0141-1195(90)90037-7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>This paper presents an efficient parallel algorithm for solving nonlinear Partial Differential Equations (PDEs), occurring in heat transfer and fluid flow simulation, on hypercube machines. To evaluate its performance, an expression for the efficiency of the algorithm is derived. The results show that the hypercubes are well suited for solving nonlinear PDEs.</p></div>\",\"PeriodicalId\":100043,\"journal\":{\"name\":\"Advances in Engineering Software (1978)\",\"volume\":\"12 1\",\"pages\":\"Pages 17-20\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1990-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/0141-1195(90)90037-7\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Advances in Engineering Software (1978)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/0141119590900377\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Engineering Software (1978)","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/0141119590900377","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Solving nonlinear Partial Differential Equations on hypercubes
This paper presents an efficient parallel algorithm for solving nonlinear Partial Differential Equations (PDEs), occurring in heat transfer and fluid flow simulation, on hypercube machines. To evaluate its performance, an expression for the efficiency of the algorithm is derived. The results show that the hypercubes are well suited for solving nonlinear PDEs.