We, authors of the paper entitled “A family of second-order dissipative finite volume schemes for hyperbolic systems of conservations laws” present our apologies for many mistakes in the current version of the published paper. We explain below the mathematical mistakes and how to modify the assumption of the Theorem (4.2) to get the same conclusion (namely, the decay of the mass of the entropy). New material and a correct proof of the Theorem (4.2) are given. A corrected version of the published paper has been uploaded on HAL server at the adress: https://hal.science/hal-03564325.
Mots-clés : Systems of conservation laws, Second-order finite Volume schemes, Explicit schemes, Global entropy inequality.
Mehdi Badsi 1; Christophe Berthon 1; Ludovic Martaud 1
CC-BY 4.0
@article{SMAI-JCM_2023__9__311_0,
author = {Mehdi Badsi and Christophe Berthon and Ludovic Martaud},
title = {Erratum to : {{\textquotedblleft}A} family of second-order dissipative finite volume schemes for hyperbolic systems of conservation laws{\textquotedblright}},
journal = {The SMAI Journal of computational mathematics},
pages = {311--318},
publisher = {Soci\'et\'e de Math\'ematiques Appliqu\'ees et Industrielles},
volume = {9},
year = {2023},
doi = {10.5802/smai-jcm.103},
language = {en},
url = {https://smai-jcm.centre-mersenne.org/articles/10.5802/smai-jcm.103/}
}
TY - JOUR AU - Mehdi Badsi AU - Christophe Berthon AU - Ludovic Martaud TI - Erratum to : “A family of second-order dissipative finite volume schemes for hyperbolic systems of conservation laws” JO - The SMAI Journal of computational mathematics PY - 2023 SP - 311 EP - 318 VL - 9 PB - Société de Mathématiques Appliquées et Industrielles UR - https://smai-jcm.centre-mersenne.org/articles/10.5802/smai-jcm.103/ DO - 10.5802/smai-jcm.103 LA - en ID - SMAI-JCM_2023__9__311_0 ER -
%0 Journal Article %A Mehdi Badsi %A Christophe Berthon %A Ludovic Martaud %T Erratum to : “A family of second-order dissipative finite volume schemes for hyperbolic systems of conservation laws” %J The SMAI Journal of computational mathematics %D 2023 %P 311-318 %V 9 %I Société de Mathématiques Appliquées et Industrielles %U https://smai-jcm.centre-mersenne.org/articles/10.5802/smai-jcm.103/ %R 10.5802/smai-jcm.103 %G en %F SMAI-JCM_2023__9__311_0
Mehdi Badsi; Christophe Berthon; Ludovic Martaud. Erratum to : “A family of second-order dissipative finite volume schemes for hyperbolic systems of conservation laws”. The SMAI Journal of computational mathematics, Volume 9 (2023), pp. 311-318. doi : 10.5802/smai-jcm.103. https://smai-jcm.centre-mersenne.org/articles/10.5802/smai-jcm.103/
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