{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,20]],"date-time":"2025-12-20T22:21:07Z","timestamp":1766269267682},"reference-count":19,"publisher":"Elsevier BV","issue":"6","license":[{"start":{"date-parts":[[2003,11,1]],"date-time":"2003-11-01T00:00:00Z","timestamp":1067644800000},"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":["Mathematics and Computers in Simulation"],"published-print":{"date-parts":[[2003,11]]},"DOI":"10.1016\/s0378-4754(03)00095-8","type":"journal-article","created":{"date-parts":[[2003,9,22]],"date-time":"2003-09-22T19:25:53Z","timestamp":1064258753000},"page":"651-661","source":"Crossref","is-referenced-by-count":19,"title":["A fourth-order compact difference scheme on face centered cubic grids with multigrid method for solving 2D convection diffusion equation"],"prefix":"10.1016","volume":"63","author":[{"given":"Haiwei","family":"Sun","sequence":"first","affiliation":[]},{"given":"Ning","family":"Kang","sequence":"additional","affiliation":[]},{"given":"Jun","family":"Zhang","sequence":"additional","affiliation":[]},{"given":"Eric S.","family":"Carlson","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/S0378-4754(03)00095-8_BIB1","doi-asserted-by":"crossref","first-page":"171","DOI":"10.1016\/S0167-739X(99)00045-X","article-title":"Lattice gases and cellular automata","volume":"16","author":"Boghosian","year":"1999","journal-title":"Future Generation Comput. Syst."},{"key":"10.1016\/S0378-4754(03)00095-8_BIB2","unstructured":"J. Xu, Multidimensional finite differencing (MDFD) with hypersphere-close-pack grids, Ph.D. thesis, University of Alabama, Tuscaloosa, AL, 2001."},{"key":"10.1016\/S0378-4754(03)00095-8_BIB3","unstructured":"L.V. Kantorovich, V.I. Krylov, Approximate Methods of Higher Analysis, Interscience Publishers, New York, NY, 1958."},{"key":"10.1016\/S0378-4754(03)00095-8_BIB4","doi-asserted-by":"crossref","first-page":"3497","DOI":"10.1002\/nme.1620382008","article-title":"High-order compact scheme for the steady stream-function vorticity equations","volume":"38","author":"Spotz","year":"1995","journal-title":"Int. J. Numer. Meth. Eng."},{"key":"10.1016\/S0378-4754(03)00095-8_BIB5","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1080\/104077999275712","article-title":"An effective, locally exact finite-difference scheme for convection\u2013diffusion problems","volume":"36","author":"Kriventsev","year":"1999","journal-title":"Numer. Heat Transfer, Part B"},{"key":"10.1016\/S0378-4754(03)00095-8_BIB6","doi-asserted-by":"crossref","first-page":"179","DOI":"10.1080\/10407799208944978","article-title":"Higher-order difference method with a multigrid approach for the solution of the incompressible flow equations at high Reynolds numbers","volume":"22","author":"Tzanos","year":"1992","journal-title":"Numer. Heat Transfer, Part B"},{"key":"10.1016\/S0378-4754(03)00095-8_BIB7","doi-asserted-by":"crossref","first-page":"390","DOI":"10.1016\/0021-9991(89)90156-3","article-title":"Compact h4 finite-difference approximations to operators of Navier-Stokes type","volume":"85","author":"Dennis","year":"1989","journal-title":"J. Comput. Phys."},{"key":"10.1016\/S0378-4754(03)00095-8_BIB8","doi-asserted-by":"crossref","first-page":"641","DOI":"10.1002\/fld.1650040704","article-title":"A single cell high-order scheme for the convection\u2013diffusion equation with variable coefficients","volume":"4","author":"Gupta","year":"1984","journal-title":"Int. J. Numer. Meth. Fluids"},{"key":"10.1016\/S0378-4754(03)00095-8_BIB9","doi-asserted-by":"crossref","first-page":"71","DOI":"10.1002\/num.1690010108","article-title":"High-order difference schemes for two-dimensional elliptic equations","volume":"1","author":"Gupta","year":"1985","journal-title":"Numer. Meth. Partial Diff. Eqs."},{"key":"10.1016\/S0378-4754(03)00095-8_BIB10","doi-asserted-by":"crossref","first-page":"1137","DOI":"10.1002\/fld.1650201003","article-title":"A compact fourth-order finite difference scheme for the steady incompressible Navier-Stokes equations","volume":"20","author":"Li","year":"1995","journal-title":"Int. J. Numer. Meth. Fluids"},{"key":"10.1016\/S0378-4754(03)00095-8_BIB11","doi-asserted-by":"crossref","first-page":"123","DOI":"10.1006\/jcph.1996.5627","article-title":"A compact multigrid solver for convection diffusion equations","volume":"132","author":"Gupta","year":"1997","journal-title":"J. Comput. Phys."},{"key":"10.1016\/S0378-4754(03)00095-8_BIB12","first-page":"153","article-title":"Asymptotic stability of a nine-point multigrid algorithm for convection diffusion equations","volume":"6","author":"Kouatchou","year":"1997","journal-title":"Electron. Trans. Numer. Anal."},{"key":"10.1016\/S0378-4754(03)00095-8_BIB13","doi-asserted-by":"crossref","unstructured":"S. Karaa, J. Zhang, Analysis of stationary iterative methods for discrete convection\u2013diffusion equation with nine-point compact scheme, J. Comput. Appl. Math. 154 (2003) 447\u2013476.","DOI":"10.1016\/S0377-0427(02)00863-4"},{"key":"10.1016\/S0378-4754(03)00095-8_BIB14","doi-asserted-by":"crossref","first-page":"262","DOI":"10.1002\/(SICI)1098-2426(199803)14:2<263::AID-NUM8>3.0.CO;2-M","article-title":"On convergence and performance of iterative methods with fourth-order compact schemes","volume":"14","author":"Zhang","year":"1998","journal-title":"Numer. Meth. Partial Diff. Eqs."},{"key":"10.1016\/S0378-4754(03)00095-8_BIB15","doi-asserted-by":"crossref","first-page":"379","DOI":"10.1002\/1098-2426(200007)16:4<379::AID-NUM3>3.0.CO;2-I","article-title":"Accuracy, robustness, and efficiency comparison in iterative computation of convection diffusion equations with boundary layers","volume":"16","author":"Ge","year":"2000","journal-title":"Numer. Meth. Partial Diff. Eqs."},{"key":"10.1016\/S0378-4754(03)00095-8_BIB16","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1002\/(SICI)1098-2426(199701)13:1<77::AID-NUM6>3.0.CO;2-J","article-title":"Accelerated high accuracy multigrid solution of the convection diffusion equation with high Reynolds number","volume":"13","author":"Zhang","year":"1997","journal-title":"Numer. Meth. Partial Diff. Eqs."},{"key":"10.1016\/S0378-4754(03)00095-8_BIB17","doi-asserted-by":"crossref","first-page":"226","DOI":"10.1006\/jcph.1996.5466","article-title":"Comparison of second and fourth-order discretizations for multigrid Poisson solver","volume":"132","author":"Gupta","year":"1997","journal-title":"J. Comput. Phys."},{"key":"10.1016\/S0378-4754(03)00095-8_BIB18","unstructured":"W.L. Briggs, A Multigrid Tutorial, SIAM, Philadelphia, PA, 1987."},{"key":"10.1016\/S0378-4754(03)00095-8_BIB19","unstructured":"P. Wesseling, An Introduction to Multigrid Methods, Wiley, Chichester, 1992."}],"container-title":["Mathematics and Computers in Simulation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0378475403000958?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0378475403000958?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,2,24]],"date-time":"2019-02-24T00:51:00Z","timestamp":1550969460000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0378475403000958"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,11]]},"references-count":19,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2003,11]]}},"alternative-id":["S0378475403000958"],"URL":"https:\/\/doi.org\/10.1016\/s0378-4754(03)00095-8","relation":{},"ISSN":["0378-4754"],"issn-type":[{"value":"0378-4754","type":"print"}],"subject":[],"published":{"date-parts":[[2003,11]]}}}