{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,13]],"date-time":"2026-01-13T05:36:55Z","timestamp":1768282615146,"version":"3.49.0"},"reference-count":22,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2014,11,16]],"date-time":"2014-11-16T00:00:00Z","timestamp":1416096000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Sci Comput"],"published-print":{"date-parts":[[2015,9]]},"DOI":"10.1007\/s10915-014-9949-3","type":"journal-article","created":{"date-parts":[[2014,11,15]],"date-time":"2014-11-15T06:32:52Z","timestamp":1416033172000},"page":"914-937","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":16,"title":["High Resolution, Entropy-Consistent Scheme Using Flux Limiter for Hyperbolic Systems of Conservation Laws"],"prefix":"10.1007","volume":"64","author":[{"given":"Youqiong","family":"Liu","sequence":"first","affiliation":[]},{"given":"Jianhu","family":"Feng","sequence":"additional","affiliation":[]},{"given":"Jiong","family":"Ren","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2014,11,16]]},"reference":[{"key":"9949_CR1","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-22019-1","volume-title":"Hyperbolic Conservation Laws in Continuum Physics","author":"C Dafermos","year":"2000","unstructured":"Dafermos, C.: Hyperbolic Conservation Laws in Continuum Physics. Springer, Berlin (2000)"},{"key":"9949_CR2","doi-asserted-by":"crossref","first-page":"5410","DOI":"10.1016\/j.jcp.2009.04.021","volume":"228","author":"F Ismail","year":"2009","unstructured":"Ismail, F., Roe, P.L.: Affordable, entropy consistent Euler flux functions II: entropy production at shocks. J. Comput. Phys. 228, 5410\u20135436 (2009)","journal-title":"J. Comput. Phys."},{"key":"9949_CR3","unstructured":"Ismial, F.: Toward a reliable prediction of shocks in hypersonic flow: resolving carbuncles with entropy and vorticity control. Ph.D. Thesis, the University of Michigan (2006)"},{"key":"9949_CR4","doi-asserted-by":"crossref","first-page":"44","DOI":"10.2514\/1.33735","volume":"47","author":"K Kitamura","year":"2009","unstructured":"Kitamura, K., Roe, P.L., Ismail, F.: Evaluation of Euler fluxes for hypersonic flow computations. AIAA J. 47, 44\u201353 (2009)","journal-title":"AIAA J."},{"issue":"1","key":"9949_CR5","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1080\/10618562.2012.752573","volume":"27","author":"AN Mohammed","year":"2013","unstructured":"Mohammed, A.N., Ismail, F.: Study of an entropy-consistent Navier-Stokes flux. Int. J. Comput. Fluid Dyn. 27(1), 1\u201314 (2013)","journal-title":"Int. J. Comput. Fluid Dyn."},{"key":"9949_CR6","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1006\/jcph.1996.5632","volume":"131","author":"A Harten","year":"1997","unstructured":"Harten, A., Engquist, B., Osher, S., Chakravarty, S.R.: Uniformly high order accurate essentially non-oscillatory schemes III. J. Comput. Phys. 131, 3\u201347 (1997)","journal-title":"J. Comput. Phys."},{"key":"9949_CR7","doi-asserted-by":"crossref","first-page":"32","DOI":"10.1016\/0021-9991(89)90222-2","volume":"83","author":"CW Shu","year":"1989","unstructured":"Shu, C.W., Osher, S.: Efficient implementation of essentially non-oscillatory schemes II. J. Comput. Phys. 83, 32\u201378 (1989)","journal-title":"J. Comput. Phys."},{"key":"9949_CR8","unstructured":"Fjordholm, U.S., Mishra, S., Tadmor, E.: Arbitrarily high order accurate entropy stable essentially non-oscillatory schemes for systems of conservation laws. Seminar f\u00fcr Angewandte Mathematik, Eidgen\u00f6ssische Technische Hochschule CH-8092 Z\u00fcrich Switzerland (2011)"},{"key":"9949_CR9","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511791253","volume-title":"Finite Volume Methods for Hyperbolic Problems","author":"RJ LeVeque","year":"2002","unstructured":"LeVeque, R.J.: Finite Volume Methods for Hyperbolic Problems. Cambridge University Press, Cambrige (2002)"},{"key":"9949_CR10","doi-asserted-by":"crossref","first-page":"89","DOI":"10.1137\/S003614450036757X","volume":"43","author":"S Gottlieb","year":"2001","unstructured":"Gottlieb, S., Shu, C.W., Tadmor, E.: High order time discretizations with strong stability properties. SIAM Rev. 43, 89\u2013112 (2001)","journal-title":"SIAM Rev."},{"key":"9949_CR11","doi-asserted-by":"crossref","unstructured":"Tadmor, E.: Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems. Act. Numer. 12, 451\u2013512 (2003)","DOI":"10.1017\/S0962492902000156"},{"key":"9949_CR12","doi-asserted-by":"crossref","first-page":"91","DOI":"10.1090\/S0025-5718-1987-0890255-3","volume":"49","author":"E Tadmor","year":"1987","unstructured":"Tadmor, E.: The numerical viscosity of entropy stable schemes for systems of conservation laws I. Math. Comput. 49, 91\u2013103 (1987)","journal-title":"Math. Comput."},{"key":"9949_CR13","doi-asserted-by":"crossref","unstructured":"Fjordholm, U.S., Mishra, S., Tadmor, E.: Energy preserving and energy stable schemes for the shallow water equations. \u201cFoundations of Computational Mathematics\u201d. In: Cucker, F., Pinkus, A., Todd, M. (eds.) Proceedings of the FoCM Held in Hong Kong 2008. London Math. Soc. Lecture Notes Ser., vol. 363, pp. 93\u2013139 (2009)","DOI":"10.1017\/CBO9781139107068.005"},{"key":"9949_CR14","doi-asserted-by":"crossref","unstructured":"Lax, P. D.: Hyperbolic systems of conservation laws and the mathematical theory of shock waves. In: SIAM Regional Conference Series in Applied Mathematics (1972)","DOI":"10.1137\/1.9781611970562"},{"key":"9949_CR15","doi-asserted-by":"crossref","first-page":"357","DOI":"10.1016\/0021-9991(83)90136-5","volume":"49","author":"A Harten","year":"1983","unstructured":"Harten, A.: High resolution schemes for hyperbolic conservation laws. J. Comput. Phys. 49, 357\u2013393 (1983)","journal-title":"J. Comput. Phys."},{"key":"9949_CR16","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-03490-3","volume-title":"Riemann Solvers and Numerical Methods for Fluid Dynamics: A Practical Introduction","author":"EF Toro","year":"1997","unstructured":"Toro, E.F.: Riemann Solvers and Numerical Methods for Fluid Dynamics: A Practical Introduction. Springer, Berlin (1997)"},{"key":"9949_CR17","unstructured":"Roe, P. L.: Numerical algorithms for the linear wave equation. Royal Aircraft Establishment Technical Report 81047 (1981)"},{"key":"9949_CR18","doi-asserted-by":"crossref","first-page":"361","DOI":"10.1016\/0021-9991(74)90019-9","volume":"14","author":"B Leer Van","year":"1974","unstructured":"Van Leer, B.: Towards the ultimate conservative difference scheme, II: monotonicity and conservation combined in a second order scheme. J. Comput. Phys. 14, 361\u2013370 (1974)","journal-title":"J. Comput. Phys."},{"key":"9949_CR19","doi-asserted-by":"crossref","unstructured":"Chakravarthy, S., Osher, S.: High resolution applications of the Osher upwind scheme for the Euler equations. In: AIAA Paper Presented at 6th CFD Conference (1983)","DOI":"10.2514\/6.1983-1943"},{"issue":"5","key":"9949_CR20","doi-asserted-by":"crossref","first-page":"995","DOI":"10.1137\/0721062","volume":"21","author":"PK Sweby","year":"1984","unstructured":"Sweby, P.K.: High resolution schemes using flux limiters for hyperbolic conservation laws. SIAM J. Numer. Anal. 21(5), 995\u20131011 (1984)","journal-title":"SIAM J. Numer. Anal."},{"key":"9949_CR21","doi-asserted-by":"crossref","first-page":"151","DOI":"10.1016\/0021-9991(87)90049-0","volume":"68","author":"HC Yee","year":"1987","unstructured":"Yee, H.C.: Construction of explicit and implicit symmetric TVD schemes and their applications. J. Comput. Phys. 68, 151\u2013179 (1987)","journal-title":"J. Comput. Phys."},{"key":"9949_CR22","unstructured":"Fjordholm, U. S.: Structure preserving finite volume methods for the shallow water equations. Master thesis, the University of Oslo (2009)"}],"container-title":["Journal of Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-014-9949-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10915-014-9949-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-014-9949-3","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,17]],"date-time":"2019-08-17T12:27:31Z","timestamp":1566044851000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10915-014-9949-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,11,16]]},"references-count":22,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2015,9]]}},"alternative-id":["9949"],"URL":"https:\/\/doi.org\/10.1007\/s10915-014-9949-3","relation":{},"ISSN":["0885-7474","1573-7691"],"issn-type":[{"value":"0885-7474","type":"print"},{"value":"1573-7691","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,11,16]]}}}