{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T07:36:37Z","timestamp":1777361797543,"version":"3.51.4"},"reference-count":44,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"1","funder":[{"name":"Interdisciplinary Thematic Institute IRMIA++"},{"name":"French Investments for the Future Program","award":["ANR-10-IDEX-0002"],"award-info":[{"award-number":["ANR-10-IDEX-0002"]}]},{"name":"French Investments for the Future Program","award":["ANR-20-SFRI-0012"],"award-info":[{"award-number":["ANR-20-SFRI-0012"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Sci. Comput."],"published-print":{"date-parts":[[2025,2,28]]},"DOI":"10.1137\/24m1646364","type":"journal-article","created":{"date-parts":[[2025,2,19]],"date-time":"2025-02-19T08:13:36Z","timestamp":1739952816000},"page":"A586-A611","source":"Crossref","is-referenced-by-count":4,"title":["Fourth-Order Entropy-Stable Lattice Boltzmann Schemes for Hyperbolic Systems"],"prefix":"10.1137","volume":"47","author":[{"given":"Thomas","family":"Bellotti","sequence":"first","affiliation":[{"name":"IRMA, Universit\u00e9 de Strasbourg, CNRS UMR 7501 and Inria MACARON, 67084, Strasbourg Cedex, France, and Current affiliation: Universit\u00e9 Paris-Saclay, CNRS, CentraleSup\u00e9lec, Laboratoire EM2C, 91190, Gif-sur-Yvette, France."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Philippe","family":"Helluy","sequence":"additional","affiliation":[{"name":"IRMA, Universit\u00e9 de Strasbourg, CNRS UMR 7501 and Inria MACARON, 67084, Strasbourg Cedex, France."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Laurent","family":"Navoret","sequence":"additional","affiliation":[{"name":"IRMA, Universit\u00e9 de Strasbourg, CNRS UMR 7501 and Inria MACARON, 67084, Strasbourg Cedex, France."}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"351","published-online":{"date-parts":[[2025,2,19]]},"reference":[{"key":"ref1","first-page":"1","volume":"6","author":"Abgrall R.","year":"2023","journal-title":"Commun. Appl. Math. Comput."},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1137\/S0036142998343075"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.119.240602"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2022.127667"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1051\/m2an\/2023008"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2024.112871"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2024.09.028"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2022.111670"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1137\/21M140256X"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1023\/A:1004525427365"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1007\/s00211-002-0426-9"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1007\/b93802"},{"key":"ref13","series-title":"Lecture Notes in Math. 434","volume-title":"Besov Spaces and Applications to Difference Methods for Initial Value Problems","author":"Brenner P.","year":"2006"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.75.036711"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.107.055305"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2024.113045"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2011.02.026"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1016\/j.compfluid.2019.06.007"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2011.08.047"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1016\/j.crme.2018.12.001"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2012.09.005"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1142\/S0129183114410149"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.3233\/ASY-211692"},{"key":"ref26","series-title":"Appl. Math. Sci. 118","volume-title":"Numerical Approximation of Hyperbolic Systems of Conservation Laws","author":"Godlewski E.","year":"2013"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2014.02.017"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-13467-3"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1209\/0295-5075\/9\/7\/009"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1016\/j.compfluid.2023.105884"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1002\/cpa.3160480303"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1137\/060675216"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2024.113570"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1016\/0041-5553(76)90046-X"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2017.03.027"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.61.6546"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1137\/S1064827595291819"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511791253"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.104.015312"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1017\/S0962492902000053"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1093\/imamat\/8.3.397"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1515\/9781400873173"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1137\/S003614299529347X"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1137\/1.9780898717938"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-1995-1270625-9"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1016\/0021-9991(74)90011-4"}],"container-title":["SIAM Journal on Scientific Computing"],"original-title":[],"language":"en","deposited":{"date-parts":[[2025,2,19]],"date-time":"2025-02-19T08:13:46Z","timestamp":1739952826000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/24M1646364"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,2,19]]},"references-count":44,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2025,2,28]]}},"alternative-id":["10.1137\/24M1646364"],"URL":"https:\/\/doi.org\/10.1137\/24m1646364","relation":{},"ISSN":["1064-8275","1095-7197"],"issn-type":[{"value":"1064-8275","type":"print"},{"value":"1095-7197","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,2,19]]}}}