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<identifier>oai:HAL:hal-00715494v1</identifier>
<datestamp>2017-12-21</datestamp>
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<publisher>HAL CCSD</publisher>
<title lang=en>Error estimates for scalar conservation laws by a kinetic approach</title>
<creator>Omrane, Abdennebi</creator>
<contributor>Centre de Recherche en Economie, Gestion, Modélisation et Informatique Appliquée (CEREGMIA) ; Université des Antilles et de la Guyane (UAG)</contributor>
<description>International audience</description>
<source>ISSN: 0161-1712</source>
<source>EISSN: 1687-0425</source>
<source>International Journal of Mathematics and Mathematical Sciences</source>
<publisher>Hindawi Publishing Corporation</publisher>
<identifier>hal-00715494</identifier>
<identifier>https://hal.univ-antilles.fr/hal-00715494</identifier>
<identifier>https://hal.univ-antilles.fr/hal-00715494/document</identifier>
<identifier>https://hal.univ-antilles.fr/hal-00715494/file/IJMMS_Omrane_HAL.pdf</identifier>
<source>https://hal.univ-antilles.fr/hal-00715494</source>
<source>International Journal of Mathematics and Mathematical Sciences, Hindawi Publishing Corporation, 2006, pp.1-15. 〈10.1155/IJMMS/2006/41510〉</source>
<identifier>DOI : 10.1155/IJMMS/2006/41510</identifier>
<relation>info:eu-repo/semantics/altIdentifier/doi/10.1155/IJMMS/2006/41510</relation>
<language>en</language>
<subject>[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC]</subject>
<type>info:eu-repo/semantics/article</type>
<type>Journal articles</type>
<description lang=en>We use the kinetic approach of Perthame and Tadmor (1991) to calculate the error estimates for general scalar conservation laws governing problems in gas dynamics. The Kruzkov and Kuznetsov techniques are generalized to this method, and an error bound of order the squareroot of the mean free path is obtained.</description>
<date>2006</date>
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