{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,7]],"date-time":"2026-04-07T06:14:59Z","timestamp":1775542499241,"version":"3.50.1"},"reference-count":27,"publisher":"Elsevier BV","issue":"3","license":[{"start":{"date-parts":[[1991,9,1]],"date-time":"1991-09-01T00:00:00Z","timestamp":683683200000},"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":["IMPACT of Computing in Science and Engineering"],"published-print":{"date-parts":[[1991,9]]},"DOI":"10.1016\/0899-8248(91)90010-r","type":"journal-article","created":{"date-parts":[[2003,12,4]],"date-time":"2003-12-04T12:01:00Z","timestamp":1070539260000},"page":"244-276","source":"Crossref","is-referenced-by-count":85,"title":["Convergent iterative methods for multicomponent diffusion"],"prefix":"10.1016","volume":"3","author":[{"given":"Vincent","family":"Giovangigli","sequence":"first","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/0899-8248(91)90010-R_BIB1","series-title":"The Mathematical Theory of Non-Uniform Gases","author":"Chapman","year":"1970"},{"key":"10.1016\/0899-8248(91)90010-R_BIB2","series-title":"Mathematical Theory of Transport Processes in Gases","author":"Ferziger","year":"1972"},{"key":"10.1016\/0899-8248(91)90010-R_BIB3","first-page":"295","article-title":"Transporterscheinungen in Gasen von mittlerem druck","volume":"Vol. 12","author":"Waldmann","year":"1958"},{"key":"10.1016\/0899-8248(91)90010-R_BIB4","series-title":"Molecular Theory of Gases and Liquids","author":"Hirschfelder","year":"1954"},{"key":"10.1016\/0899-8248(91)90010-R_BIB5","series-title":"Combustion Theory","author":"Williams","year":"1985"},{"key":"10.1016\/0899-8248(91)90010-R_BIB6","doi-asserted-by":"crossref","first-page":"3051","DOI":"10.1063\/1.1728060","article-title":"Thermal diffusion in polyatomic gases: A generalized Stefan-Maxwell diffusion equation","volume":"45","author":"Monchick","year":"1966","journal-title":"J. Chem. Phys."},{"key":"10.1016\/0899-8248(91)90010-R_BIB7","doi-asserted-by":"crossref","first-page":"73","DOI":"10.1016\/0899-8248(90)90004-T","article-title":"Mass conservation and singular multicomponent diffusion algorithms","volume":"2","author":"Giovangigli","year":"1990","journal-title":"IMPACT Comput. Sci. Engrg."},{"key":"10.1016\/0899-8248(91)90010-R_BIB8","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0360-1285(81)90014-9","article-title":"Detailed modeling of combustion systems","volume":"7","author":"Oran","year":"1981","journal-title":"Prog. Energy Combust. Sci."},{"key":"10.1016\/0899-8248(91)90010-R_BIB9","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1016\/0097-8485(81)80020-4","article-title":"An algorithm for multispecies diffusion fluxes","volume":"5","author":"Jones","year":"1981","journal-title":"Comput. Chem."},{"key":"10.1016\/0899-8248(91)90010-R_BIB10","doi-asserted-by":"crossref","first-page":"273","DOI":"10.1016\/0010-2180(81)90027-4","article-title":"Transport algorithms for premixed, laminar steady-state flames","volume":"43","author":"Coffee","year":"1981","journal-title":"Combust. Flame"},{"key":"10.1016\/0899-8248(91)90010-R_BIB11","article-title":"A Fortran Computer Code Package for the Evaluation of Gas-Phase Viscosities, Conductivities, and Diffusion Coefficients","author":"Kee","year":"1983","journal-title":"SANDIA National Laboratories Report, SAND83-8209"},{"key":"10.1016\/0899-8248(91)90010-R_BIB12","series-title":"Numerical Methods in Laminar Flame Propagation","first-page":"87","article-title":"Influence of transport models and boundary conditions on flame structure","author":"Warnatz","year":"1982"},{"key":"10.1016\/0899-8248(91)90010-R_BIB13","series-title":"Generalized Inverses. Theory and Applications","author":"Ben-Israel","year":"1974"},{"key":"10.1016\/0899-8248(91)90010-R_BIB14","doi-asserted-by":"crossref","first-page":"265","DOI":"10.1007\/BF01397879","article-title":"Convergent nonnegative matrices and iterative methods for consistent linear systems","volume":"31","author":"Neumann","year":"1978","journal-title":"Numer. Math."},{"key":"10.1016\/0899-8248(91)90010-R_BIB15","first-page":"281","article-title":"On the solution of singular and semidefinite linear systems by iteration","volume":"2","author":"Keller","year":"1965","journal-title":"SIAM J. Numer. Anal."},{"key":"10.1016\/0899-8248(91)90010-R_BIB16","series-title":"Nonnegative Matrices in the Mathematical Sciences","author":"Berman","year":"1979"},{"key":"10.1016\/0899-8248(91)90010-R_BIB17","doi-asserted-by":"crossref","first-page":"357","DOI":"10.1215\/S0012-7094-40-00627-5","article-title":"Infinite powers of matrices and characteristic roots","volume":"6","author":"Oldenburger","year":"1940","journal-title":"Duke Math. J."},{"key":"10.1016\/0899-8248(91)90010-R_BIB18","series-title":"Matrix Iterative Analysis","author":"Varga","year":"1962"},{"key":"10.1016\/0899-8248(91)90010-R_BIB19","series-title":"Matrix Computations","author":"Golub","year":"1983"},{"key":"10.1016\/0899-8248(91)90010-R_BIB20","doi-asserted-by":"crossref","first-page":"2917","DOI":"10.1063\/1.1670528","article-title":"Symmetric gaseous diffusion coefficients","volume":"49","author":"Curtiss","year":"1968","journal-title":"J. Chem. Phys."},{"key":"10.1016\/0899-8248(91)90010-R_BIB21","doi-asserted-by":"crossref","first-page":"118","DOI":"10.1016\/0031-8914(67)90084-5","article-title":"On the definition of the diffusion coefficients in reacting gases","volume":"36","author":"Van de Ree","year":"1967","journal-title":"Physica"},{"key":"10.1016\/0899-8248(91)90010-R_BIB22","first-page":"111","article-title":"Flame structure and flame reaction kinetics. II. Transport phenomena in multicomponent systems","volume":"307","author":"Dixon-Lewis","year":"1968"},{"key":"10.1016\/0899-8248(91)90010-R_BIB23","article-title":"A Fortran Computer Code Package for the Evaluation of Gas-Phase Multicomponent Transport Properties","author":"Kee","year":"1986","journal-title":"SANDIA National Laboratories Report, SAND86-8246"},{"key":"10.1016\/0899-8248(91)90010-R_BIB24","series-title":"In Third Symposium (International) on Combustion","first-page":"121","article-title":"Flame propagation in explosive gas mixtures","author":"Hirschfelder","year":"1949"},{"key":"10.1016\/0899-8248(91)90010-R_BIB25","doi-asserted-by":"crossref","first-page":"305","DOI":"10.1016\/0168-9274(89)90013-5","article-title":"Adaptive continuation algorithms with application to combustion problems","volume":"5","author":"Giovangigli","year":"1989","journal-title":"Appl. Numer. Math."},{"key":"10.1016\/0899-8248(91)90010-R_BIB26","unstructured":"V.Giovangigh and M. D. Smooke, Application of continuation techniques to plane premixed laminar flames. In preparation."},{"key":"10.1016\/0899-8248(91)90010-R_BIB27","article-title":"CHEMKIN: A General-Purpose, Problem-Independent, Transportable, Fortran Chemical Kinetics Code Package","author":"Kee","year":"1990","journal-title":"SANDIA National Laboratories Report, SAND80-8003"}],"container-title":["IMPACT of Computing in Science and Engineering"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:089982489190010R?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:089982489190010R?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,2,16]],"date-time":"2019-02-16T14:30:40Z","timestamp":1550327440000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/089982489190010R"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1991,9]]},"references-count":27,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1991,9]]}},"alternative-id":["089982489190010R"],"URL":"https:\/\/doi.org\/10.1016\/0899-8248(91)90010-r","relation":{},"ISSN":["0899-8248"],"issn-type":[{"value":"0899-8248","type":"print"}],"subject":[],"published":{"date-parts":[[1991,9]]}}}