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Record Nr. |
UNINA9910300250803321 |
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Autore |
Amadori Debora |
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Titolo |
Error estimates for well-balanced schemes on simple balance laws [[electronic resource] ] : one-dimensional position-dependent models / / by Debora Amadori, Laurent Gosse |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 |
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ISBN |
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Edizione |
[1st ed. 2015.] |
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Descrizione fisica |
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1 online resource (119 p.) |
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Collana |
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SpringerBriefs in Mathematics, , 2191-8198 |
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Disciplina |
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Soggetti |
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Partial differential equations |
Numerical analysis |
Mathematical physics |
Physics |
Partial Differential Equations |
Numerical Analysis |
Mathematical Applications in the Physical Sciences |
Numerical and Computational Physics, Simulation |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references at the end of each chapters and index. |
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Nota di contenuto |
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1 Introduction -- 2 Local and global error estimates -- 3 Position-dependent scalar balance laws -- 4 Lyapunov functional for inertial approximations -- 5 Entropy dissipation and comparison with Lyapunov estimates -- 6 Conclusion and outlook. |
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Sommario/riassunto |
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This monograph presents, in an attractive and self-contained form, techniques based on the L1 stability theory derived at the end of the 1990s by A. Bressan, T.-P. Liu and T. Yang that yield original error estimates for so-called well-balanced numerical schemes solving 1D hyperbolic systems of balance laws. Rigorous error estimates are presented for both scalar balance laws and a position-dependent relaxation system, in inertial approximation. Such estimates shed light on why those algorithms based on source terms handled like "local scatterers" can outperform other, more standard, numerical schemes. |
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