{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,8]],"date-time":"2025-10-08T15:23:52Z","timestamp":1759937032361},"reference-count":32,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2014,3,27]],"date-time":"2014-03-27T00:00:00Z","timestamp":1395878400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Numer. Math."],"published-print":{"date-parts":[[2014,11]]},"DOI":"10.1007\/s00211-014-0622-4","type":"journal-article","created":{"date-parts":[[2014,3,26]],"date-time":"2014-03-26T10:21:34Z","timestamp":1395829294000},"page":"431-461","source":"Crossref","is-referenced-by-count":4,"title":["A higher order Finite Volume resolution method for a system related to the inviscid primitive equations in a complex domain"],"prefix":"10.1007","volume":"128","author":[{"given":"Arthur","family":"Bousquet","sequence":"first","affiliation":[]},{"given":"Gung-Min","family":"Gie","sequence":"additional","affiliation":[]},{"given":"Youngjoon","family":"Hong","sequence":"additional","affiliation":[]},{"given":"Jacques","family":"Laminie","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2014,3,27]]},"reference":[{"key":"622_CR1","volume-title":"Atmosphere-Ocean Dynamics","author":"AE Gill","year":"1982","unstructured":"Gill, A.E.: Atmosphere-Ocean Dynamics. Academic Press, New York (1982)"},{"key":"622_CR2","volume-title":"Numerical Weather Prediction","author":"GJ Haltiner","year":"1971","unstructured":"Haltiner, G.J.: Numerical Weather Prediction. Wiley, New York (1971)"},{"key":"622_CR3","volume-title":"A Short Course in Cloud Physics","author":"RR Rogers","year":"1989","unstructured":"Rogers, R.R., Yau, M.K.: A Short Course in Cloud Physics, 3rd edn. Pergamon Press Oxford, New York (1989)","edition":"3"},{"issue":"3","key":"622_CR4","doi-asserted-by":"crossref","first-page":"419","DOI":"10.1137\/0135035","volume":"35","author":"Joseph Oliger","year":"1978","unstructured":"Oliger, Joseph, Sundstr\u00f6m, Arne: Theoretical and practical aspects of some initial boundary value problems in fluid dynamics. SIAM J. Appl. Math. 35(3), 419\u2013446 (1978)","journal-title":"SIAM J. Appl. Math."},{"issue":"21","key":"622_CR5","doi-asserted-by":"crossref","first-page":"2647","DOI":"10.1175\/1520-0469(2003)060<2647:OBCFTP>2.0.CO;2","volume":"60","author":"R Temam","year":"2003","unstructured":"Temam, R., Tribbia, J.: Open boundary conditions for the primitive and Boussinesq equations. J. Atmos. Sci. 60(21), 2647\u20132660 (2003)","journal-title":"J. Atmos. Sci."},{"issue":"3","key":"622_CR6","doi-asserted-by":"crossref","first-page":"199","DOI":"10.1142\/S021953050700095X","volume":"5","author":"QS Chen","year":"2007","unstructured":"Chen, Q.S., Laminie, J., Rousseau, A., Temam, R., Tribbia, J.: A 2.5D model for the equations of the ocean and the atmosphere. Anal. Appl. (Singap.) 5(3), 199\u2013229 (2007)","journal-title":"Anal. Appl. (Singap.)"},{"issue":"1\u20133","key":"622_CR7","doi-asserted-by":"crossref","first-page":"167","DOI":"10.1007\/s10915-009-9343-8","volume":"45","author":"Q Chen","year":"2010","unstructured":"Chen, Q., Shiue, M.-C., Temam, R.: The barotropic mode for the primitive equations. J. Sci. Comput. 45(1\u20133), 167\u2013199 (2010)","journal-title":"J. Sci. Comput."},{"issue":"23","key":"622_CR8","doi-asserted-by":"crossref","first-page":"9865","DOI":"10.1016\/j.jcp.2008.08.005","volume":"227","author":"Q Chen","year":"2008","unstructured":"Chen, Q., Temam, R., Tribbia, J.J.: Simulations of the 2.5D inviscid primitive equations in a limited domain. J. Comput. Phys. 227(23), 9865\u20139884 (2008)","journal-title":"J. Comput. Phys."},{"issue":"5","key":"622_CR9","doi-asserted-by":"crossref","first-page":"1257","DOI":"10.3934\/dcds.2005.13.1257","volume":"13","author":"A Rousseau","year":"2005","unstructured":"Rousseau, A., Temam, R., Tribbia, J.: Boundary conditions for the 2D linearized PEs of the ocean in the absence of viscosity. Discrete Contin. Dyn. Syst. 13(5), 1257\u20131276 (2005)","journal-title":"Discrete Contin. Dyn. Syst."},{"key":"622_CR10","doi-asserted-by":"crossref","unstructured":"Rousseau, A., Temam, R., Tribbia, J.: Numerical simulations of the inviscid primitive equations in a limited domain. In: Calgaro, C., Coulombel, J.-F., Goudon, T. (eds.) Analysis and Simulation of Fluid Dynamics, Advances in Mathematical Fluid Mechanics, pp. 163\u2013181. Birkh\u00e4user, Basel (2007)","DOI":"10.1007\/978-3-7643-7742-7_10"},{"issue":"3","key":"622_CR11","doi-asserted-by":"crossref","first-page":"297","DOI":"10.1016\/j.matpur.2007.12.001","volume":"89","author":"A Rousseau","year":"2008","unstructured":"Rousseau, A., Temam, R., Tribbia, J.: The 3D primitive equations in the absence of viscosity: boundary conditions and well-posedness in the linearized case. J. Math. Pures Appl. (9) 89(3), 297\u2013319 (2008)","journal-title":"J. Math. Pures Appl. (9)"},{"key":"622_CR12","doi-asserted-by":"crossref","unstructured":"Rousseau, A., Temam, R.M., Tribbia, J.J.: Boundary value problems for the inviscid primitive equations in limited domains. In: Handbook of Numerical Analysis, vol. XIV. Special Volume: Computational Methods for the Atmosphere and the Oceans, vol. 14 of Handbook of Numerical Analysis, pp. 481\u2013575. Elsevier, North-Holland, Amsterdam (2009)","DOI":"10.1016\/S1570-8659(08)00211-1"},{"issue":"3","key":"622_CR13","doi-asserted-by":"crossref","first-page":"619","DOI":"10.1051\/m2an\/2011058","volume":"46","author":"Q Chen","year":"2012","unstructured":"Chen, Q., Shiue, M.-C., Temam, R., Tribbia, J.: Numerical approximation of the inviscid 3D primitive equations in a limited domain. ESAIM Math. Model. Numer. Anal. 46(3), 619\u2013646 (2012)","journal-title":"ESAIM Math. Model. Numer. Anal."},{"key":"622_CR14","unstructured":"Hong, Y., Temam, R., Bousquet, A., Tribbia, J.: Numerical weather prediction with primitive equations with humidity in two dimension using finite volume method (preprint)"},{"issue":"2","key":"622_CR15","first-page":"309","volume":"5","author":"MC Zelati","year":"2012","unstructured":"Zelati, M.C., Temam, R.: The atmospheric equation of water vapor with saturation. Boll. Unione Mat. Ital. (9) 5(2), 309\u2013336 (2012)","journal-title":"Boll. Unione Mat. Ital. (9)"},{"issue":"2","key":"622_CR16","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1088\/0951-7715\/5\/2\/001","volume":"5","author":"J-L Lions","year":"1992","unstructured":"Lions, J.-L., Temam, R., Wang, S.H.: New formulations of the primitive equations of atmosphere and applications. Nonlinearity 5(2), 237\u2013288 (1992)","journal-title":"Nonlinearity"},{"key":"622_CR17","doi-asserted-by":"crossref","unstructured":"Petcu, M., Temam, R.M., Ziane, M.: Some mathematical problems in geophysical fluid dynamics. In: Handbook of Numerical Analysis, vol. XIV. Special Volume: Computational Methods for the Atmosphere and the Oceans, vol. 14 of Handbook of Numerical Analysis, pp. 577\u2013750. Elsevier, North-Holland, Amsterdam (2009)","DOI":"10.1016\/S1570-8659(08)00212-3"},{"key":"622_CR18","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511791253","volume-title":"Finite Volume Methods for Hyperbolic Problems. Cambridge Texts in Applied Mathematics","author":"RJ LeVeque","year":"2002","unstructured":"LeVeque, R.J.: Finite Volume Methods for Hyperbolic Problems. Cambridge Texts in Applied Mathematics. Cambridge University Press, Cambridge (2002)"},{"key":"622_CR19","volume-title":"An Introduction to Computational Fluid Dynamics: The Finite Volume Method","author":"HK Versteeg","year":"2007","unstructured":"Versteeg, H.K., Malalasekera, W.: An Introduction to Computational Fluid Dynamics: The Finite Volume Method. Pearson Education Limited, London (2007)"},{"issue":"3\u20134","key":"622_CR20","doi-asserted-by":"crossref","first-page":"235","DOI":"10.1016\/j.ocemod.2010.02.006","volume":"33","author":"K Adamy","year":"2010","unstructured":"Adamy, K., Bousquet, A., Faure, S., Laminie, J., Temam, R.: A multilevel method for finite volume discretization of the two-dimensional nonlinear shallow-water equations. Ocean Model. 33(3\u20134), 235\u2013256 (2010)","journal-title":"Ocean Model."},{"issue":"3","key":"622_CR21","doi-asserted-by":"crossref","first-page":"397","DOI":"10.1051\/m2an:2002019","volume":"36","author":"A Kurganov","year":"2002","unstructured":"Kurganov, A., Levy, D.: Central-upwind schemes for the Saint-Venant system. M2AN Math. Model. Numer. Anal. 36(3), 397\u2013425 (2002)","journal-title":"M2AN Math. Model. Numer. Anal."},{"issue":"3","key":"622_CR22","doi-asserted-by":"crossref","first-page":"707","DOI":"10.1137\/S1064827500373413","volume":"23","author":"A Kurganov","year":"2001","unstructured":"Kurganov, A., Noelle, S., Petrova, G.: Semidiscrete central-upwind schemes for hyperbolic conservation laws and Hamilton\u2013Jacobi equations. SIAM J. Sci. Comput. 23(3), 707\u2013740 (2001). (electronic)","journal-title":"SIAM J. Sci. Comput."},{"issue":"3","key":"622_CR23","doi-asserted-by":"crossref","first-page":"1742","DOI":"10.1137\/080719091","volume":"31","author":"A Kurganov","year":"2009","unstructured":"Kurganov, A., Petrova, G.: Central-upwind schemes for two-layer shallow water equations. SIAM J. Sci. Comput. 31(3), 1742\u20131773 (2009)","journal-title":"SIAM J. Sci. Comput."},{"issue":"6","key":"622_CR24","doi-asserted-by":"crossref","first-page":"2381","DOI":"10.1137\/040614189","volume":"29","author":"A Kurganov","year":"2007","unstructured":"Kurganov, A., Petrova, G., Popov, B.: Adaptive semidiscrete central-upwind schemes for nonconvex hyperbolic conservation laws. SIAM J. Sci. Comput. 29(6), 2381\u20132401 (2007)","journal-title":"SIAM J. Sci. Comput."},{"issue":"1","key":"622_CR25","doi-asserted-by":"crossref","first-page":"241","DOI":"10.1006\/jcph.2000.6459","volume":"160","author":"A Kurganov","year":"2000","unstructured":"Kurganov, A., Tadmor, E.: New high-resolution central schemes for nonlinear conservation laws and convection\u2013diffusion equations. J. Comput. Phys. 160(1), 241\u2013282 (2000)","journal-title":"J. Comput. Phys."},{"issue":"2","key":"622_CR26","doi-asserted-by":"crossref","first-page":"408","DOI":"10.1016\/0021-9991(90)90260-8","volume":"87","author":"H Nessyahu","year":"1990","unstructured":"Nessyahu, H., Tadmor, E.: Nonoscillatory central differencing for hyperbolic conservation laws. J. Comput. Phys. 87(2), 408\u2013463 (1990)","journal-title":"J. Comput. Phys."},{"issue":"1","key":"622_CR27","doi-asserted-by":"crossref","first-page":"143","DOI":"10.1006\/jcph.1999.6369","volume":"157","author":"D Calhoun","year":"2000","unstructured":"Calhoun, D., LeVeque, R.J.: A Cartesian grid finite-volume method for the advection-diffusion equation in irregular geometries. J. Comput. Phys. 157(1), 143\u2013180 (2000)","journal-title":"J. Comput. Phys."},{"key":"622_CR28","unstructured":"LeVeque, R.J.: Cartesian grids and rotated difference methods for multi-dimensional flow. In: Proceedings of International Conference on Scientific Computation (Hangzhou, 1991), vol. 1 of Series Applied Mathematics, pp. 76\u201385. World Scientific Publishing, River Edge, NJ (1992)"},{"key":"622_CR29","doi-asserted-by":"crossref","unstructured":"LeVeque, R.J., Calhoun, D.: Cartesian grid methods for fluid flow in complex geometries. In: Fauci, L.J., Gueron, S. (eds.) Computational modeling in biological fluid dynamics (Minneapolis, MN, 1999), vol. 124, pp. 117\u2013143. IMA Volumes in Mathematics and its Applications, Springer, New York (2001)","DOI":"10.1007\/978-1-4613-0151-6_7"},{"key":"622_CR30","unstructured":"Huang, W., Kappen, A.M.: A study of cell-center finite volume methods for diffusion equations. Electronic (1998)"},{"issue":"1","key":"622_CR31","first-page":"1","volume":"7","author":"G-M Gie","year":"2010","unstructured":"Gie, G.-M., Temam, R.: Cell centered finite volume methods using Taylor series expansion scheme without fictitious domains. Int. J. Numer. Anal. Model. 7(1), 1\u201329 (2010)","journal-title":"Int. J. Numer. Anal. Model."},{"key":"622_CR32","unstructured":"Gie, G.-M., Temam, R.: Convergence of the cell-centered Finite Volume discretization method (submitted)"}],"container-title":["Numerische Mathematik"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00211-014-0622-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00211-014-0622-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00211-014-0622-4","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,8]],"date-time":"2019-08-08T22:57:38Z","timestamp":1565305058000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00211-014-0622-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,3,27]]},"references-count":32,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2014,11]]}},"alternative-id":["622"],"URL":"https:\/\/doi.org\/10.1007\/s00211-014-0622-4","relation":{},"ISSN":["0029-599X","0945-3245"],"issn-type":[{"value":"0029-599X","type":"print"},{"value":"0945-3245","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,3,27]]}}}