{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,24]],"date-time":"2026-07-24T13:04:58Z","timestamp":1784898298434,"version":"3.55.0"},"reference-count":33,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"}],"funder":[{"DOI":"10.13039\/501100007063","name":"University of Delhi","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100007063","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001501","name":"University Grants Commission","doi-asserted-by":"publisher","award":["221610000239"],"award-info":[{"award-number":["221610000239"]}],"id":[{"id":"10.13039\/501100001501","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Mathematics and Computers in Simulation"],"published-print":{"date-parts":[[2026,11]]},"DOI":"10.1016\/j.matcom.2026.06.020","type":"journal-article","created":{"date-parts":[[2026,6,20]],"date-time":"2026-06-20T15:38:38Z","timestamp":1781969918000},"page":"1022-1040","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"C","title":["A class of oscillation-free discontinuous Galerkin methods for hyperbolic conservation laws"],"prefix":"10.1016","volume":"249","author":[{"ORCID":"https:\/\/orcid.org\/0009-0008-3829-7985","authenticated-orcid":false,"given":"Deepak","family":"Kumar","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3872-1148","authenticated-orcid":false,"given":"Pratima","family":"Rai","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7345-6859","authenticated-orcid":false,"given":"Arvind","family":"Patel","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"78","reference":[{"issue":"2","key":"10.1016\/j.matcom.2026.06.020_b1","doi-asserted-by":"crossref","first-page":"199","DOI":"10.1006\/jcph.1998.5892","article-title":"The Runge\u2013Kutta discontinuous Galerkin method for conservation laws V: Multidimensional systems","volume":"141","author":"Cockburn","year":"1998","journal-title":"J. Comput. Phys."},{"key":"10.1016\/j.matcom.2026.06.020_b2","first-page":"545","article-title":"The Runge\u2013Kutta local projection discontinuous Galerkin finite element method for conservation laws IV: The multidimensional case","volume":"54","author":"Cockburn","year":"1990","journal-title":"Math. Comp."},{"key":"10.1016\/j.matcom.2026.06.020_b3","first-page":"411","article-title":"TVB Runge\u2013Kutta local projection discontinuous Galerkin finite element method for conservation laws II: General framework","volume":"52","author":"Cockburn","year":"1989","journal-title":"Math. Comp."},{"issue":"1","key":"10.1016\/j.matcom.2026.06.020_b4","doi-asserted-by":"crossref","first-page":"90","DOI":"10.1016\/0021-9991(89)90183-6","article-title":"TVB Runge\u2013Kutta local projection discontinuous Galerkin finite element method for conservation laws III: One-dimensional systems","volume":"84","author":"Cockburn","year":"1989","journal-title":"J. Comput. Phys."},{"issue":"3","key":"10.1016\/j.matcom.2026.06.020_b5","first-page":"337","article-title":"The Runge\u2013Kutta local projection discontinuous Galerkin finite element method for scalar conservation laws","volume":"25","author":"Cockburn","year":"1991","journal-title":"RAIRO Mod\u00e9lisation Math\u00e9matique Anal. Num\u00e9rique"},{"issue":"3","key":"10.1016\/j.matcom.2026.06.020_b6","doi-asserted-by":"crossref","first-page":"995","DOI":"10.1137\/04061372X","article-title":"A comparison of troubled-cell indicators for Runge\u2013Kutta discontinuous Galerkin methods using WENO limiters","volume":"27","author":"Qiu","year":"2005","journal-title":"SIAM J. Sci. Comput."},{"key":"10.1016\/j.matcom.2026.06.020_b7","doi-asserted-by":"crossref","first-page":"255","DOI":"10.1016\/0168-9274(94)90029-9","article-title":"Parallel adaptive finite element methods for conservation laws","volume":"14","author":"Biswas","year":"1994","journal-title":"Appl. Numer. Math."},{"issue":"1","key":"10.1016\/j.matcom.2026.06.020_b8","doi-asserted-by":"crossref","first-page":"111","DOI":"10.1006\/jcph.2001.6718","article-title":"A problem-independent limiter for high-order Runge\u2013Kutta discontinuous Galerkin methods","volume":"169","author":"Burbeau","year":"2001","journal-title":"J. Comput. Phys."},{"key":"10.1016\/j.matcom.2026.06.020_b9","doi-asserted-by":"crossref","first-page":"397","DOI":"10.1016\/j.jcp.2012.08.028","article-title":"A simple weighted essentially nonoscillatory limiter for Runge\u2013Kutta discontinuous Galerkin methods","volume":"232","author":"Zhong","year":"2013","journal-title":"J. Comput. Phys."},{"key":"10.1016\/j.matcom.2026.06.020_b10","doi-asserted-by":"crossref","DOI":"10.1007\/s10915-024-02482-9","article-title":"Admissibility preserving subcell limiter for Lax\u2013Wendroff flux reconstruction","volume":"99","author":"Babbar","year":"2024","journal-title":"J. Sci. Comput."},{"key":"10.1016\/j.matcom.2026.06.020_b11","doi-asserted-by":"crossref","DOI":"10.1016\/j.jcp.2025.114380","article-title":"An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods","volume":"543","author":"Chan","year":"2025","journal-title":"J. Comput. Phys."},{"key":"10.1016\/j.matcom.2026.06.020_b12","doi-asserted-by":"crossref","first-page":"166","DOI":"10.1016\/j.jcp.2018.04.029","article-title":"An artificial neural network as a troubled-cell indicator","volume":"367","author":"Ray","year":"2018","journal-title":"J. Comput. Phys."},{"issue":"3","key":"10.1016\/j.matcom.2026.06.020_b13","doi-asserted-by":"crossref","first-page":"1299","DOI":"10.1137\/20M1354192","article-title":"An oscillation-free discontinuous Galerkin method for scalar hyperbolic conservation laws","volume":"59","author":"Lu","year":"2021","journal-title":"SIAM J. Numer. Anal."},{"issue":"1","key":"10.1016\/j.matcom.2026.06.020_b14","doi-asserted-by":"crossref","first-page":"A230","DOI":"10.1137\/21M140835X","article-title":"An essentially oscillation-free discontinuous Galerkin method for hyperbolic systems","volume":"44","author":"Liu","year":"2022","journal-title":"SIAM J. Sci. Comput."},{"key":"10.1016\/j.matcom.2026.06.020_b15","doi-asserted-by":"crossref","DOI":"10.1016\/j.jcp.2025.113911","article-title":"An entropy stable essentially oscillation-free discontinuous Galerkin method for solving ideal magnetohydrodynamic equations","volume":"530","author":"Liu","year":"2025","journal-title":"J. Comput. Phys."},{"key":"10.1016\/j.matcom.2026.06.020_b16","first-page":"1147","article-title":"OEDG: Oscillation-eliminating discontinuous Galerkin method for hyperbolic conservation laws","volume":"94","author":"Peng","year":"2025","journal-title":"Math. Comp."},{"key":"10.1016\/j.matcom.2026.06.020_b17","doi-asserted-by":"crossref","DOI":"10.1016\/j.jcp.2024.113716","article-title":"An essentially oscillation-free reconstructed discontinuous Galerkin method for hyperbolic conservation laws","volume":"524","author":"Lin","year":"2025","journal-title":"J. Comput. Phys."},{"issue":"2","key":"10.1016\/j.matcom.2026.06.020_b18","doi-asserted-by":"crossref","first-page":"A318","DOI":"10.1137\/23M158629X","article-title":"The Runge\u2013Kutta discontinuous Galerkin method with compact stencils for hyperbolic conservation laws","volume":"46","author":"Chen","year":"2024","journal-title":"SIAM J. Sci. Comput."},{"key":"10.1016\/j.matcom.2026.06.020_b19","doi-asserted-by":"crossref","DOI":"10.1016\/j.jcp.2024.113654","article-title":"The Runge\u2013Kutta discontinuous Galerkin method with stage-dependent polynomial spaces for hyperbolic conservation laws","volume":"523","author":"Chen","year":"2025","journal-title":"J. Comput. Phys."},{"key":"10.1016\/j.matcom.2026.06.020_b20","doi-asserted-by":"crossref","first-page":"2795","DOI":"10.1090\/mcom\/4037","article-title":"Reducing polynomial degree by one for inner-stage operators affects neither stability type nor accuracy order of the Runge\u2013Kutta discontinuous Galerkin method","volume":"94","author":"Sun","year":"2024","journal-title":"Math. Comp."},{"key":"10.1016\/j.matcom.2026.06.020_b21","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1016\/j.compfluid.2017.06.018","article-title":"On local conservation of numerical methods for conservation laws","volume":"169","author":"Shi","year":"2018","journal-title":"Comput. Fluids"},{"key":"10.1016\/j.matcom.2026.06.020_b22","series-title":"Nodal Discontinuous Galerkin Methods: Algorithms, Analysis, and Applications","author":"Hesthaven","year":"2008"},{"issue":"22","key":"10.1016\/j.matcom.2026.06.020_b23","doi-asserted-by":"crossref","first-page":"9612","DOI":"10.1016\/j.jcp.2008.07.010","article-title":"Superconvergence and time evolution of discontinuous Galerkin finite element solutions","volume":"227","author":"Cheng","year":"2008","journal-title":"J. Comput. Phys."},{"issue":"6","key":"10.1016\/j.matcom.2026.06.020_b24","doi-asserted-by":"crossref","first-page":"4044","DOI":"10.1137\/090747701","article-title":"Superconvergence of discontinuous Galerkin and local discontinuous Galerkin schemes for linear hyperbolic and convection\u2013diffusion equations in one space dimension","volume":"47","author":"Cheng","year":"2010","journal-title":"SIAM J. Numer. Anal."},{"key":"10.1016\/j.matcom.2026.06.020_b25","doi-asserted-by":"crossref","first-page":"3113","DOI":"10.1016\/j.cma.2009.05.016","article-title":"Discontinuous Galerkin error estimation for linear symmetric hyperbolic systems","volume":"198","author":"Adjerid","year":"2009","journal-title":"Comput Methods Appl. Mech. Eng."},{"key":"10.1016\/j.matcom.2026.06.020_b26","doi-asserted-by":"crossref","first-page":"1335","DOI":"10.1090\/S0025-5718-2011-02460-9","article-title":"Discontinuous Galerkin error estimation for linear symmetrizable hyperbolic systems","volume":"80","author":"Adjerid","year":"2011","journal-title":"Math. Comp."},{"issue":"1","key":"10.1016\/j.matcom.2026.06.020_b27","doi-asserted-by":"crossref","first-page":"3110","DOI":"10.1137\/110857647","article-title":"Analysis of optimal superconvergence of discontinuous Galerkin method for linear hyperbolic equations","volume":"50","author":"Yang","year":"2012","journal-title":"SIAM J. Numer. Anal."},{"issue":"5","key":"10.1016\/j.matcom.2026.06.020_b28","doi-asserted-by":"crossref","first-page":"2555","DOI":"10.1137\/130946873","article-title":"Superconvergence of discontinuous Galerkin methods for linear hyperbolic equations","volume":"52","author":"Cao","year":"2014","journal-title":"SIAM J. Numer. Anal."},{"issue":"1","key":"10.1016\/j.matcom.2026.06.020_b29","doi-asserted-by":"crossref","first-page":"206","DOI":"10.1137\/140956750","article-title":"Stability and error estimates of local discontinuous Galerkin methods with implicit\u2013explicit time-marching for advection\u2013diffusion problems","volume":"53","author":"Wang","year":"2015","journal-title":"SIAM J. Numer. Anal."},{"key":"10.1016\/j.matcom.2026.06.020_b30","doi-asserted-by":"crossref","first-page":"294","DOI":"10.1007\/s10915-010-9403-0","article-title":"Third order explicit Runge\u2013Kutta discontinuous Galerkin method for linear conservation laws with inflow boundary condition","volume":"46","author":"Zhang","year":"2011","journal-title":"J. Sci. Comput."},{"issue":"4","key":"10.1016\/j.matcom.2026.06.020_b31","doi-asserted-by":"crossref","first-page":"1574","DOI":"10.1137\/18M1230700","article-title":"L2-norm stability analysis of Runge\u2013Kutta discontinuous Galerkin methods for linear hyperbolic equations","volume":"57","author":"Xu","year":"2019","journal-title":"SIAM J. Numer. Anal."},{"issue":"1","key":"10.1016\/j.matcom.2026.06.020_b32","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1016\/0021-9991(75)90115-1","article-title":"Numerical study of the regularized long-wave equation I: Numerical methods","volume":"19","author":"Eilbeck","year":"1975","journal-title":"J. Comput. Phys."},{"issue":"1","key":"10.1016\/j.matcom.2026.06.020_b33","doi-asserted-by":"crossref","first-page":"32","DOI":"10.1016\/0021-9991(89)90222-2","article-title":"Efficient implementation of essentially non-oscillatory shock-capturing schemes II","volume":"83","author":"Shu","year":"1989","journal-title":"J. Comput. Phys."}],"container-title":["Mathematics and Computers in Simulation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0378475426002648?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0378475426002648?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,7,24]],"date-time":"2026-07-24T12:39:08Z","timestamp":1784896748000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0378475426002648"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,11]]},"references-count":33,"alternative-id":["S0378475426002648"],"URL":"https:\/\/doi.org\/10.1016\/j.matcom.2026.06.020","relation":{},"ISSN":["0378-4754"],"issn-type":[{"value":"0378-4754","type":"print"}],"subject":[],"published":{"date-parts":[[2026,11]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"A class of oscillation-free discontinuous Galerkin methods for hyperbolic conservation laws","name":"articletitle","label":"Article Title"},{"value":"Mathematics and Computers in Simulation","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.matcom.2026.06.020","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2026 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright","label":"Copyright"}]}}