{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T18:25:01Z","timestamp":1787336701914,"version":"build-2736575974"},"reference-count":21,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Sci. Comput."],"published-print":{"date-parts":[[1998,1]]},"abstract":"<jats:p>Representative transport PDE problems in one, two, and three dimensions are approximated by a class of high-order compact (HOC) difference schemes and their iterative and parallel performance are studied. The eigenvalues and condition numbers of the HOC schemes are analyzed and the performance of standard Krylov-space methods is compared for HOC, central differencing, and standard first-order upwinding schemes. Finally, CPU times, MFLOP rates, and speedup curves are presented for fixed-problem-size cases and scaled-problem-size cases.<\/jats:p>","DOI":"10.1137\/s106482759630379x","type":"journal-article","created":{"date-parts":[[2003,6,11]],"date-time":"2003-06-11T11:12:06Z","timestamp":1055329926000},"page":"1-14","source":"Crossref","is-referenced-by-count":17,"title":["Iterative and Parallel Performance of High-Order Compact Systems"],"prefix":"10.1137","volume":"19","author":[{"given":"W. F.","family":"Spotz","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"G. F.","family":"Carey","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2006,7,25]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1007\/BF01061287"},{"key":"R2","unstructured":"G. F. Carey, W. Joubert, A. Lorber, R. McLay, Y. Shen, and W. Spotz,\n                      Development and application of a parallel portable system solver for PDEs\n                      , in Proceedings of High Performance Computing \u201996 (1996 SCS Simulation MultiConference), April 8\u201311, 1996, New Orleans, LA., to appear."},{"key":"R3","unstructured":"G. F. Carey and J. T. Oden,\n                      Finite Elements: Fluid Mechanics, Volume VI\n                      , Prentice Hall, Englewood Cliffs, New Jersey, 1986."},{"key":"R4","doi-asserted-by":"publisher","DOI":"10.1006\/jcph.1993.1182"},{"key":"R5","first-page":"289","volume":"15","author":"Datta Gupta A.","year":"1991","journal-title":"In Situ","ISSN":"https:\/\/id.crossref.org\/issn\/0146-2520","issn-type":"print"},{"key":"R6","doi-asserted-by":"publisher","DOI":"10.1016\/0021-9991(89)90156-3"},{"key":"R7","doi-asserted-by":"crossref","unstructured":"S. C. R. Dennis and Q. Wing,\n                      Generalized finite differences for operators of Navier\u2010Stokes type\n                      , in Proceedings of the 10th International Conference on Numerical Methods in Fluid Dynamics, F. G. Zhuang and Y. L. Zhu, eds., vol. 264 of Lecture Notes in Physics, Springer\u2010Verlag, 1986, pp. 222\u2013228.","DOI":"10.1007\/BFb0041794"},{"key":"R8","unstructured":"M. M. Gupta and et. al.\n                      Single\u2010cell high order difference method for steady state advection\u2010diffusion equation\n                      , in Proceedings of the Symposium\u2014International Association for Hydraulic Research, 1982, pp. 101\u2013108."},{"key":"R9","doi-asserted-by":"publisher","DOI":"10.1002\/fld.1650040704"},{"key":"R10","unstructured":"W. D. Joubert, G. F. Carey, R. T. McLay, N. A. Berner, H. Kohli, A. Lorber, and Y. 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Spotz,\n                      High\u2010Order Compact Finite Difference Schemes for Computational Mechanics\n                      , PhD thesis, University of Texas at Austin, December 1995."},{"key":"R19","doi-asserted-by":"publisher","DOI":"10.1002\/nme.1620382008"},{"key":"R20","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1098-2426(199603)12:2<235::AID-NUM6>3.3.CO;2-2"},{"key":"R21","unstructured":"J. Wilkinson,\n                      The Algebraic Eigenvalue Problem\n                      , Clarendon Press, Oxford, 1965."}],"container-title":["SIAM Journal on Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/S106482759630379X","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T17:26:45Z","timestamp":1787333205000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/S106482759630379X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1998,1]]},"references-count":21,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1998,1]]}},"alternative-id":["10.1137\/S106482759630379X"],"URL":"https:\/\/doi.org\/10.1137\/s106482759630379x","relation":{},"ISSN":["1064-8275","1095-7197"],"issn-type":[{"value":"1064-8275","type":"print"},{"value":"1095-7197","type":"electronic"}],"subject":[],"published":{"date-parts":[[1998,1]]}}}