{"title":"特刊:新的并行算法及其显式差分法的加速","authors":"P. Purcz","doi":"10.1080/1063719031000088030","DOIUrl":null,"url":null,"abstract":"New parallel “ring” algorithm for solution of a spatially one dimensional initial-boundary-value problem (IBVP) for a parabolic equation using an explicit difference method in this article is suggested. The parallel algorithm has been verified by implementation on a workstation-cluster running under parallel virtual machine (PVM). A speed-up function is determined as a ratio of time needed for realization of the algorithm in sequential case to time in parallel. Theoretical estimates of the speed-up function show the significant speed-up of the parallel algorithm in comparison with the serial one.","PeriodicalId":406098,"journal":{"name":"Parallel Algorithms and Applications","volume":"5 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2003-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Special Issue: New parallel algorithm and its speed-up for the explicit difference method\",\"authors\":\"P. Purcz\",\"doi\":\"10.1080/1063719031000088030\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"New parallel “ring” algorithm for solution of a spatially one dimensional initial-boundary-value problem (IBVP) for a parabolic equation using an explicit difference method in this article is suggested. The parallel algorithm has been verified by implementation on a workstation-cluster running under parallel virtual machine (PVM). A speed-up function is determined as a ratio of time needed for realization of the algorithm in sequential case to time in parallel. Theoretical estimates of the speed-up function show the significant speed-up of the parallel algorithm in comparison with the serial one.\",\"PeriodicalId\":406098,\"journal\":{\"name\":\"Parallel Algorithms and Applications\",\"volume\":\"5 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2003-05-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Parallel Algorithms and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/1063719031000088030\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Parallel Algorithms and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/1063719031000088030","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Special Issue: New parallel algorithm and its speed-up for the explicit difference method
New parallel “ring” algorithm for solution of a spatially one dimensional initial-boundary-value problem (IBVP) for a parabolic equation using an explicit difference method in this article is suggested. The parallel algorithm has been verified by implementation on a workstation-cluster running under parallel virtual machine (PVM). A speed-up function is determined as a ratio of time needed for realization of the algorithm in sequential case to time in parallel. Theoretical estimates of the speed-up function show the significant speed-up of the parallel algorithm in comparison with the serial one.