{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,6]],"date-time":"2026-06-06T08:17:09Z","timestamp":1780733829441,"version":"3.54.1"},"reference-count":27,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2015,10,29]],"date-time":"2015-10-29T00:00:00Z","timestamp":1446076800000},"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":[[2016,6]]},"DOI":"10.1007\/s10915-015-0123-3","type":"journal-article","created":{"date-parts":[[2015,10,29]],"date-time":"2015-10-29T18:51:16Z","timestamp":1446144676000},"page":"1219-1246","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":98,"title":["On the Accuracy of WENO and CWENO Reconstructions of Third Order on Nonuniform Meshes"],"prefix":"10.1007","volume":"67","author":[{"given":"I.","family":"Cravero","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2398-0828","authenticated-orcid":false,"given":"M.","family":"Semplice","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2015,10,29]]},"reference":[{"issue":"2","key":"123_CR1","doi-asserted-by":"crossref","first-page":"893","DOI":"10.1137\/100791579","volume":"49","author":"F Ar\u00e0ndiga","year":"2011","unstructured":"Ar\u00e0ndiga, F., Baeza, A., Belda, A.M., Mulet, P.: Analysis of WENO schemes for full and global accuracy. SIAM J. Numer. Anal. 49(2), 893\u2013915 (2011)","journal-title":"SIAM J. Numer. Anal."},{"key":"123_CR2","doi-asserted-by":"crossref","first-page":"2050","DOI":"10.1137\/S1064827503431090","volume":"25","author":"E Audusse","year":"2004","unstructured":"Audusse, E., Bouchut, F., Bristeau, M.O., Klein, R., Perthame, B.: A fast and stable well-balanced scheme with hydrostatic reconstruction for shallow water flows. SIAM J. Sci. Comp. 25, 2050\u20132065 (2004)","journal-title":"SIAM J. Sci. Comp."},{"key":"123_CR3","doi-asserted-by":"crossref","first-page":"2298","DOI":"10.1137\/S0036142997315974","volume":"35","author":"MJ Berger","year":"1998","unstructured":"Berger, M.J., LeVeque, R.J.: Adaptive mesh refinement using wave-propagation algorithms for hyperbolic systems. SIAM J. Numer. Anal. 35, 2298\u20132316 (1998)","journal-title":"SIAM J. Numer. Anal."},{"key":"123_CR4","doi-asserted-by":"crossref","first-page":"2977","DOI":"10.1016\/j.jcp.2007.11.029","volume":"227","author":"G Capdeville","year":"2008","unstructured":"Capdeville, G.: A central WENO scheme for solving hyperbolic conservation laws on non-uniform meshes. J. Comput. Phys. 227, 2977\u20133014 (2008)","journal-title":"J. Comput. Phys."},{"issue":"3","key":"123_CR5","doi-asserted-by":"crossref","first-page":"239","DOI":"10.1007\/s10915-007-9151-y","volume":"33","author":"E Constantinescu","year":"2007","unstructured":"Constantinescu, E., Sandu, A.: Multirate timestepping methods for hyperbolic conservation laws. J. Sci. Comput. 33(3), 239\u2013278 (2007)","journal-title":"J. Sci. Comput."},{"key":"123_CR6","doi-asserted-by":"crossref","first-page":"347","DOI":"10.1016\/j.jcp.2013.05.018","volume":"250","author":"WS Don","year":"2013","unstructured":"Don, W.S., Borges, R.: Accuracy of the weighted essentially non-oscillatory conservative finite difference schemes. J. Comput. Phys. 250, 347\u2013372 (2013)","journal-title":"J. Comput. Phys."},{"key":"123_CR7","doi-asserted-by":"crossref","first-page":"453","DOI":"10.1016\/j.amc.2014.01.061","volume":"232","author":"H Feng","year":"2014","unstructured":"Feng, H., Huang, C., Wang, R.: An improved mapped weighted essentially non-oscillatory scheme. Appl. Math. Comput. 232, 453\u2013468 (2014)","journal-title":"Appl. Math. Comput."},{"key":"123_CR8","doi-asserted-by":"crossref","first-page":"2763","DOI":"10.1016\/j.cam.2012.01.008","volume":"236","author":"G Gerolymos","year":"2012","unstructured":"Gerolymos, G.: Representation of the lagrange reconstructing polynomial by combination of substencils. J. Comput. Appl. Math. 236, 2763\u20132794 (2012)","journal-title":"J. Comput. Appl. Math."},{"issue":"1","key":"123_CR9","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.: Strong stability-preserving high-order time discretization methods. SIAM Rev. 43(1), 89\u2013112 (2001)","journal-title":"SIAM Rev."},{"key":"123_CR10","doi-asserted-by":"crossref","first-page":"542","DOI":"10.1016\/j.jcp.2005.01.023","volume":"207","author":"AK Henrick","year":"2005","unstructured":"Henrick, A.K., Aslam, T.D., Powers, J.M.: Mapped weighted essentially non-oscillatory schemes: achieving optimal order near critical points. J. Comput. Phys. 207, 542\u2013567 (2005)","journal-title":"J. Comput. Phys."},{"issue":"1","key":"123_CR11","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1006\/jcph.1998.6165","volume":"150","author":"C Hu","year":"1999","unstructured":"Hu, C., Shu, C.W.: Weighted essentially non-oscillatory schemes on triangular meshes. J. Comput. Phys. 150(1), 97\u2013127 (1999)","journal-title":"J. Comput. Phys."},{"key":"123_CR12","doi-asserted-by":"crossref","first-page":"202","DOI":"10.1006\/jcph.1996.0130","volume":"126","author":"GS Jiang","year":"1996","unstructured":"Jiang, G.S., Shu, C.W.: Efficient implementation of weighted ENO schemes. J. Comput. Phys. 126, 202\u2013228 (1996)","journal-title":"J. Comput. Phys."},{"issue":"243","key":"123_CR13","doi-asserted-by":"crossref","first-page":"1239","DOI":"10.1090\/S0025-5718-02-01469-2","volume":"72","author":"R Kirby","year":"2003","unstructured":"Kirby, R.: On the convergence of high resolution methods with multiple time scales for hyperbolic conservation laws. Math. Comp. 72(243), 1239\u20131250 (2003)","journal-title":"Math. Comp."},{"issue":"5","key":"123_CR14","doi-asserted-by":"crossref","first-page":"2335","DOI":"10.1137\/130947568","volume":"52","author":"O Kolb","year":"2014","unstructured":"Kolb, O.: On the full and global accuracy of a compact third order WENO scheme. SIAM J. Numer. Anal. 52(5), 2335\u20132355 (2014)","journal-title":"SIAM J. Numer. Anal."},{"key":"123_CR15","doi-asserted-by":"crossref","first-page":"10258","DOI":"10.1016\/j.amc.2012.04.003","volume":"218","author":"M Lahooti","year":"2012","unstructured":"Lahooti, M., Pishevar, A.: A new fourth order central WENO method for 3D hyperbolic conservation laws. Appl. Math. Comput. 218, 10258\u201310270 (2012)","journal-title":"Appl. Math. Comput."},{"key":"123_CR16","volume-title":"Numerical Methods for Conservation Laws. Lecture Notes in Math","author":"RJ LeVeque","year":"1999","unstructured":"LeVeque, R.J.: Numerical Methods for Conservation Laws. Lecture Notes in Math. Bikh\u00e4user, Basel (1999)"},{"key":"123_CR17","doi-asserted-by":"crossref","first-page":"547","DOI":"10.1051\/m2an:1999152","volume":"33","author":"D Levy","year":"1999","unstructured":"Levy, D., Puppo, G., Russo, G.: Central WENO schemes for hyperbolic systems of conservation laws. M2AN. Math. Model. Numer. Anal. 33, 547\u2013571 (1999)","journal-title":"Math. Model. Numer. Anal."},{"issue":"2","key":"123_CR18","doi-asserted-by":"crossref","first-page":"656","DOI":"10.1137\/S1064827599359461","volume":"22","author":"D Levy","year":"2000","unstructured":"Levy, D., Puppo, G., Russo, G.: Compact central WENO schemes for multidimensional conservation laws. SIAM J. Sci. Comput. 22(2), 656\u2013672 (2000)","journal-title":"SIAM J. Sci. Comput."},{"key":"123_CR19","doi-asserted-by":"crossref","first-page":"480","DOI":"10.1137\/S1064827501385852","volume":"24","author":"D Levy","year":"2002","unstructured":"Levy, D., Puppo, G., Russo, G.: A fourth-order central WENO scheme for multidimensional hyperbolic systems of conservation laws. SIAM. J. Sci. Comput. 24, 480\u2013506 (2002)","journal-title":"SIAM. J. Sci. Comput."},{"issue":"2","key":"123_CR20","doi-asserted-by":"crossref","first-page":"474","DOI":"10.1016\/j.jcp.2005.08.019","volume":"213","author":"S Noelle","year":"2006","unstructured":"Noelle, S., Pankratz, N., Puppo, G., Natvig, J.R.: Well-balanced finite volume schemes of arbitrary order of accuracy for shallow water flows. J. Comput. Phys. 213(2), 474\u2013499 (2006)","journal-title":"J. Comput. Phys."},{"issue":"5","key":"123_CR21","doi-asserted-by":"crossref","first-page":"1132","DOI":"10.4208\/cicp.250909.210111a","volume":"10","author":"G Puppo","year":"2011","unstructured":"Puppo, G., Semplice, M.: Numerical entropy and adaptivity for finite volume schemes. Commun. Comput. Phys. 10(5), 1132\u20131160 (2011)","journal-title":"Commun. Comput. Phys."},{"key":"123_CR22","doi-asserted-by":"crossref","unstructured":"Puppo, G., Semplice, M.: Well-balanced high order 1D schemes on non-uniform grids and entropy residuals. J. Sci. Comput. (2015). doi: 10.1007\/s10915-015-0056-x","DOI":"10.1007\/s10915-015-0056-x"},{"key":"123_CR23","doi-asserted-by":"crossref","unstructured":"Semplice, M., Coco, A., Russo, G.: Adaptive mesh refinement for hyperbolic systems based on third-order compact WENO reconstruction. J. Sci. Comput. (2015). doi: 10.1007\/s10915-015-0038-z","DOI":"10.1007\/s10915-015-0038-z"},{"key":"123_CR24","doi-asserted-by":"crossref","unstructured":"Shu, C.W.: Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws. In: Advanced Numerical Approximation of Nonlinear Hyperbolic Equations (Cetraro, 1997), Lecture Notes in Math., vol. 1697, pp. 325\u2013432. Springer, Berlin (1998)","DOI":"10.1007\/BFb0096355"},{"issue":"1","key":"123_CR25","doi-asserted-by":"crossref","first-page":"82","DOI":"10.1137\/070679065","volume":"51","author":"CW Shu","year":"2009","unstructured":"Shu, C.W.: High order weighted essentially nonoscillatory schemes for convection dominated problems. SIAM Rev. 51(1), 82\u2013126 (2009)","journal-title":"SIAM Rev."},{"issue":"2","key":"123_CR26","doi-asserted-by":"crossref","first-page":"439","DOI":"10.1016\/0021-9991(88)90177-5","volume":"77","author":"CW Shu","year":"1988","unstructured":"Shu, C.W., Osher, S.: Efficient implementation of essentially nonoscillatory shock-capturing schemes. J. Comput. Phys. 77(2), 439\u2013471 (1988)","journal-title":"J. Comput. Phys."},{"key":"123_CR27","doi-asserted-by":"crossref","first-page":"206","DOI":"10.1016\/j.jcp.2005.02.006","volume":"208","author":"Y Xing","year":"2005","unstructured":"Xing, Y., Shu, C.W.: High order finite difference WENO schemes with the exact conservation property for the shallow water equations. J. Comput. Phys. 208, 206\u2013227 (2005)","journal-title":"J. Comput. Phys."}],"container-title":["Journal of Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-015-0123-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10915-015-0123-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-015-0123-3","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,2]],"date-time":"2019-06-02T04:45:53Z","timestamp":1559450753000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10915-015-0123-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,10,29]]},"references-count":27,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2016,6]]}},"alternative-id":["123"],"URL":"https:\/\/doi.org\/10.1007\/s10915-015-0123-3","relation":{},"ISSN":["0885-7474","1573-7691"],"issn-type":[{"value":"0885-7474","type":"print"},{"value":"1573-7691","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,10,29]]}}}