Pub Date : 1989-11-01DOI: 10.1016/0167-7977(89)90017-8
Iain S. Duff
We first discuss algorithms and software for the solution of full linear systems. In particular, we discuss work which aims to capitalize on recent advances in machine architectures while at the same time maintaining portability through the use of computational kernels. We then examine how this can be extended to the sparse case and consider several approaches for the direct solution of sparse linear equations including general methods based on Markowitz pivoting, frontal methods, and multifrontal methods.
{"title":"Direct solvers","authors":"Iain S. Duff","doi":"10.1016/0167-7977(89)90017-8","DOIUrl":"https://doi.org/10.1016/0167-7977(89)90017-8","url":null,"abstract":"<div><p>We first discuss algorithms and software for the solution of full linear systems. In particular, we discuss work which aims to capitalize on recent advances in machine architectures while at the same time maintaining portability through the use of computational kernels. We then examine how this can be extended to the sparse case and consider several approaches for the direct solution of sparse linear equations including general methods based on Markowitz pivoting, frontal methods, and multifrontal methods.</p></div>","PeriodicalId":100318,"journal":{"name":"Computer Physics Reports","volume":"11 1","pages":"Pages 21-50"},"PeriodicalIF":0.0,"publicationDate":"1989-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0167-7977(89)90017-8","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72277559","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1989-11-01DOI: 10.1016/0167-7977(89)90019-1
ASTRID group, E. Bonomi, M. Flück, P.L. George , R. Gruber, R. Herbin, A. Perronnet , S. Merazzi, J. Rappaz , T. Richner, V. Schmid, P. Stehlin, C.T. Tran, M. Vidrascu , W. Voirol , J. Vos
{"title":"ASTRID: Structured finite element and finite volume programs adapted to parallel vectorcomputers","authors":"ASTRID group, E. Bonomi, M. Flück, P.L. George , R. Gruber, R. Herbin, A. Perronnet , S. Merazzi, J. Rappaz , T. Richner, V. Schmid, P. Stehlin, C.T. Tran, M. Vidrascu , W. Voirol , J. Vos","doi":"10.1016/0167-7977(89)90019-1","DOIUrl":"https://doi.org/10.1016/0167-7977(89)90019-1","url":null,"abstract":"","PeriodicalId":100318,"journal":{"name":"Computer Physics Reports","volume":"11 1","pages":"Pages 81-116"},"PeriodicalIF":0.0,"publicationDate":"1989-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0167-7977(89)90019-1","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72277558","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1989-11-01DOI: 10.1016/0167-7977(89)90016-6
Iain S. Duff
{"title":"Architectures and systems","authors":"Iain S. Duff","doi":"10.1016/0167-7977(89)90016-6","DOIUrl":"10.1016/0167-7977(89)90016-6","url":null,"abstract":"","PeriodicalId":100318,"journal":{"name":"Computer Physics Reports","volume":"11 1","pages":"Pages 1-20"},"PeriodicalIF":0.0,"publicationDate":"1989-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0167-7977(89)90016-6","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85676800","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1989-11-01DOI: 10.1016/0167-7977(89)90019-1
E. Bonomi, M. Flück, P. George, R. Gruber, R. Herbin, A. Perronnet, S. Merazzi, J. Rappaz, T. Richner, V. Schmid, P. Stehlin, C. T. Tran, M. Vidrascu, W. Voirol, J. Vos
{"title":"ASTRID: Structured finite element and finite volume programs adapted to parallel vectorcomputers","authors":"E. Bonomi, M. Flück, P. George, R. Gruber, R. Herbin, A. Perronnet, S. Merazzi, J. Rappaz, T. Richner, V. Schmid, P. Stehlin, C. T. Tran, M. Vidrascu, W. Voirol, J. Vos","doi":"10.1016/0167-7977(89)90019-1","DOIUrl":"https://doi.org/10.1016/0167-7977(89)90019-1","url":null,"abstract":"","PeriodicalId":100318,"journal":{"name":"Computer Physics Reports","volume":"136 1","pages":"81-116"},"PeriodicalIF":0.0,"publicationDate":"1989-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85259761","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}