@prefix dcat: <http://www.w3.org/ns/dcat#> .
@prefix dct: <http://purl.org/dc/terms/> .
@prefix foaf: <http://xmlns.com/foaf/0.1/> .
@prefix vcard: <http://www.w3.org/2006/vcard/ns#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00781393v2> a dcat:Dataset ;
    dct:description """
              The ability of Well-Balanced (WB) schemes to capture very accurately steady-state regimes of non-resonant hyperbolic systems of balance laws has been thoroughly illustrated since its introduction by Greenberg and LeRoux \\cite{grl} (see also the anterior WB Glimm scheme in \\cite{we}). This paper aims at showing, by means of rigorous $C^0_t(L^1_x)$ estimates, that these schemes deliver an increased accuracy in transient regimes too. Namely, after explaining that for the vast majority of non-resonant scalar balance laws, the $C^0_t(L^1_x)$ error of conventional fractional-step \\cite{tt2} numerical approximations grows {\\bf exponentially} in time like $\\exp(\\max(g')t)\\sqrt{ \\DX}$ (as a consequence of the use of Gronwall's lemma), it is shown that WB schemes involving an exact Riemann solver suffer from a much smaller error amplification: thanks to strict hyperbolicity, their error grows at most only {\\bf linearly} in time. Numerical results on several test-cases of increasing difficulty (including the classical LeVeque-Yee's benchmark problem \\cite{ly} in the non-stiff case) confirm the analysis.
            """ ;
    dct:identifier "hal-00781393" ;
    dct:issued "2026-05-14T09:48:24.915307"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-14T09:48:24.915312"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Transient $L^1$ error estimates for well-balanced schemes on non-resonant scalar balance laws" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00781393v2/resource/c3e5f1e8-0fcc-4015-b181-5f0762b6c8c3> ;
    dcat:keyword "65m06-35l60",
        "error-estimates",
        "functional-equivalent-to-the-l1-distance",
        "gronwall-lemma",
        "infoeu-reposemanticsarticle",
        "journal-articles",
        "mathmath-namathematics-mathnumerical-analysis-mathna",
        "non-linear-resonance",
        "numerical-viscosity",
        "wave-front-tracking-algorithm",
        "well-balanced-godunov-scheme" ;
    dcat:landingPage <ISSN:%200022-0396> .

<ISSN:%200022-0396> a foaf:Document .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00781393v2/resource/c3e5f1e8-0fcc-4015-b181-5f0762b6c8c3> a dcat:Distribution ;
    dct:format "HTML" ;
    dct:issued "2026-05-14T09:48:24.947502"^^xsd:dateTime ;
    dct:modified "2026-05-14T09:48:24.887030"^^xsd:dateTime ;
    dct:title "Transient $L^1$ error estimates for well-balanced schemes on non-resonant scalar balance laws" ;
    dcat:accessURL <https://hal.science/hal-00781393> .

<https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> a foaf:Agent ;
    foaf:name "test_moissonnage_selune" .