{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,23]],"date-time":"2023-10-23T04:47:55Z","timestamp":1698036475020},"reference-count":22,"publisher":"Elsevier BV","issue":"1-2","license":[{"start":{"date-parts":[[1987,7,1]],"date-time":"1987-07-01T00:00:00Z","timestamp":552096000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Parallel Computing"],"published-print":{"date-parts":[[1987,7]]},"DOI":"10.1016\/0167-8191(87)90012-3","type":"journal-article","created":{"date-parts":[[2003,9,3]],"date-time":"2003-09-03T17:52:02Z","timestamp":1062611522000},"page":"117-125","source":"Crossref","is-referenced-by-count":15,"title":["Matrix and vector operations on hypercube parallel processors"],"prefix":"10.1016","volume":"5","author":[{"given":"Oliver A","family":"McBryan","sequence":"first","affiliation":[]},{"given":"Eric F","family":"Van de Velde","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/0167-8191(87)90012-3_BIB1","doi-asserted-by":"crossref","first-page":"333","DOI":"10.1090\/S0025-5718-1977-0431719-X","article-title":"Multi-level adaptive solutions to boundary-value problems","volume":"31","author":"Brandt","year":"1977","journal-title":"Math. Comput."},{"key":"10.1016\/0167-8191(87)90012-3_BIB2","year":"1984","journal-title":"Caltech\/JPL Concurrent Computation Project Annual Report 1983\u20131984"},{"key":"10.1016\/0167-8191(87)90012-3_BIB3","article-title":"Parallel networks for multi-grid algorithms: Architecture and complexity","author":"Chan","year":"1983","journal-title":"Yale University Research Report, DCS 262"},{"key":"10.1016\/0167-8191(87)90012-3_BIB4","doi-asserted-by":"crossref","first-page":"517","DOI":"10.1016\/0021-9991(76)90047-4","article-title":"Random choice solution of hyperbolic systems","volume":"22","author":"Chorin","year":"1976","journal-title":"J. Comput. Phys."},{"key":"10.1016\/0167-8191(87)90012-3_BIB5","series-title":"Sparse Matrix Computations","article-title":"A generalized conjugate gradient method for the numerical solution of elliptic partial differential equations","author":"Concus","year":"1976"},{"key":"10.1016\/0167-8191(87)90012-3_BIB6","doi-asserted-by":"crossref","first-page":"801","DOI":"10.1109\/T-C.1972.223584","article-title":"A fast computer method for matrix transposing","volume":"21","author":"Ecklundh","year":"1971","journal-title":"IEEE Trans. Comput."},{"issue":"5","key":"10.1016\/0167-8191(87)90012-3_BIB7","doi-asserted-by":"crossref","first-page":"50","DOI":"10.1063\/1.2916241","article-title":"Algorithms for concurrent processors","volume":"37","author":"Fox","year":"1984","journal-title":"Phys. Today"},{"key":"10.1016\/0167-8191(87)90012-3_BIB8","series-title":"Matrix Computations","author":"Golub","year":"1984"},{"key":"10.1016\/0167-8191(87)90012-3_BIB9","first-page":"425","article-title":"Convergence of multi-grid iterations applied to difference equations","volume":"34","author":"Hackbusch","year":"1980","journal-title":"Math. Comput."},{"key":"10.1016\/0167-8191(87)90012-3_BIB10","doi-asserted-by":"crossref","first-page":"409","DOI":"10.6028\/jres.049.044","article-title":"Methods of conjugate gradients for solving linear systems","volume":"49","author":"Hestenes","year":"1952","journal-title":"J. Res. Nat. Bur. Standards"},{"key":"10.1016\/0167-8191(87)90012-3_BIB11","article-title":"Data permutations and basic linear algebra computations on ensemble architectures","author":"Johnsson","year":"1985","journal-title":"Research Report YALEU\/DCS\/RR-367"},{"key":"10.1016\/0167-8191(87)90012-3_BIB12","series-title":"Mathematical Physics VII","first-page":"481","article-title":"Fluids, discontinuities and renormalization group methods","author":"McBryan","year":"1984"},{"key":"10.1016\/0167-8191(87)90012-3_BIB13","series-title":"Hypercube Multiprocessors","first-page":"221","article-title":"Hypercube algorithms for computational fluid dynamics","author":"McBryan","year":"1986"},{"key":"10.1016\/0167-8191(87)90012-3_BIB14","series-title":"Multigrid Methods II","article-title":"The multigrid method on parallel computers","volume":"1228","author":"McBryan","year":"1986"},{"key":"10.1016\/0167-8191(87)90012-3_BIB15","doi-asserted-by":"crossref","first-page":"227","DOI":"10.1137\/0908023","article-title":"Hypercube algorithms and implementations","volume":"8","author":"McBryan","year":"1987","journal-title":"SIAM J. Sci. Statist. Comput."},{"key":"10.1016\/0167-8191(87)90012-3_BIB16","article-title":"Solution of partial differential equations on vector and parallel computers","author":"Ortega","year":"1985","journal-title":"ICASE Report 85-1"},{"key":"10.1016\/0167-8191(87)90012-3_BIB17","series-title":"Large Sparse Sets of Linear Equations","first-page":"231","article-title":"On the method of conjugate gradients for the solution of large sparse systems of linear equations","author":"Reid","year":"1971"},{"key":"10.1016\/0167-8191(87)90012-3_BIB18","series-title":"Difference Methods for Initial Value Problems","author":"Richtmyer","year":"1952"},{"key":"10.1016\/0167-8191(87)90012-3_BIB19","article-title":"Data communication in hypercubes","author":"Saad","year":"1985","journal-title":"Yale University Research Report DCS\/RR-428"},{"issue":"1","key":"10.1016\/0167-8191(87)90012-3_BIB20","doi-asserted-by":"crossref","first-page":"22","DOI":"10.1145\/2465.2467","article-title":"The cosmic cube","volume":"28","author":"Seitz","year":"1985","journal-title":"Comm. ACM"},{"key":"10.1016\/0167-8191(87)90012-3_BIB21","series-title":"Proc. Computational Fluid Dynamics","article-title":"On the construction of fast solvers for elliptic equations","author":"St\u00fcben","year":"1982"},{"key":"10.1016\/0167-8191(87)90012-3_BIB22","article-title":"Experiments with multigrid on the Caltech hypercube","author":"Thole","year":"1985","journal-title":"GMD Internal Report"}],"container-title":["Parallel Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0167819187900123?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0167819187900123?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,2,25]],"date-time":"2019-02-25T09:22:09Z","timestamp":1551086529000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/0167819187900123"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1987,7]]},"references-count":22,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[1987,7]]}},"alternative-id":["0167819187900123"],"URL":"https:\/\/doi.org\/10.1016\/0167-8191(87)90012-3","relation":{},"ISSN":["0167-8191"],"issn-type":[{"value":"0167-8191","type":"print"}],"subject":[],"published":{"date-parts":[[1987,7]]}}}