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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| Autore: |
Amadori Debora
|
| Titolo: |
Error estimates for well-balanced schemes on simple balance laws [[electronic resource] ] : one-dimensional position-dependent models / / by Debora Amadori, Laurent Gosse
|
| Pubblicazione: | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 |
| Edizione: | 1st ed. 2015. |
| Descrizione fisica: | 1 online resource (119 p.) |
| Disciplina: | 515.3535 |
| Soggetto topico: | Partial differential equations |
| Numerical analysis | |
| Mathematical physics | |
| Physics | |
| Partial Differential Equations | |
| Numerical Analysis | |
| Mathematical Applications in the Physical Sciences | |
| Numerical and Computational Physics, Simulation | |
| Persona (resp. second.): | GosseLaurent |
| Note generali: | Description based upon print version of record. |
| Nota di bibliografia: | Includes bibliographical references at the end of each chapters and index. |
| Nota di contenuto: | 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. |
| Sommario/riassunto: | 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. Two-dimensional Riemann problems for the linear wave equation are also solved, with discussion of the issues raised relating to the treatment of 2D balance laws. All of the material provided in this book is highly relevant for the understanding of well-balanced schemes and will contribute to future improvements. |
| Titolo autorizzato: | Error Estimates for Well-Balanced Schemes on Simple Balance Laws |
| ISBN: | 3-319-24785-9 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910300250803321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
SpringerBriefs in Mathematics, . 2191-8198