Geodesic
AHO schemes for Dissipative Hyperbolic Systems
Denise Aregba-Driollet1 ; Maya Briani2 ; Roberto Natalini2
1Institut de Mathématiques de Bordeaux, UMR CNRS 5251, Université de Bordeaux 1
2Istituto per le Applicazioni del Calcolo “Mauro Picone”, Consiglio Nazionale delle Ricerche & Università LUISS - Guido Carli di Roma
ESAIM. Proceedings, Tome 22 (2008), pp. 52-66
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We study finite difference schemes which approximate linear one dimensional dissipative hyperbolic systems. We introduce suitable modifications of standard upwinding schemes to keep into account the long-time behaviour of the solutions, which consist in some schemes which are increasingly accurate for large times. This property of accuracy is required in order to get better results for large time simulations when computing perturbations of some given stable states, both in the steady state and in the diffusion limit.
DOI : 10.1051/proc:072205

Denise Aregba-Driollet  1   ; Maya Briani  2   ; Roberto Natalini  2

1 Institut de Mathématiques de Bordeaux, UMR CNRS 5251, Université de Bordeaux 1
2 Istituto per le Applicazioni del Calcolo “Mauro Picone”, Consiglio Nazionale delle Ricerche & Università LUISS - Guido Carli di Roma 
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     author = {Denise Aregba-Driollet and Maya Briani and Roberto Natalini},
     title = {AHO schemes for {Dissipative} {Hyperbolic} {Systems}},
     journal = {ESAIM. Proceedings},
     pages = {52--66},
     year = {2008},
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     doi = {10.1051/proc:072205},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc:072205/}
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Denise Aregba-Driollet; Maya Briani; Roberto Natalini. AHO schemes for Dissipative Hyperbolic Systems. ESAIM. Proceedings, Tome 22 (2008), pp. 52-66. doi: 10.1051/proc:072205

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