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Lieferstatus:	Auf Bestellung (Lieferzeit unbekannt)
Veröffentlichung:	November 2015
Genre:	Schulbücher
	Analysis / Applications of Mathematics / C / Mathematical Applications in the Physical Sciences / Mathematical modelling / Mathematical physics / Mathematics and Statistics / Numerical analysis / Numerical and Computational Physics, Simulation / Partial Differential Equations / Physics / Theoretical, Mathematical and Computational Physics mehr...
ISBN:	9783319247847
EAN-Code:	9783319247847
Verlag:	Springer EN
Einband:	Kartoniert
Sprache:	English
Serie:	SpringerBriefs in Mathematics
Dimensionen:	H 235 mm / B 155 mm / D
Gewicht:	2058 gr
Seiten:	110
Illustration:	XV, 110 p. 24 illus., 15 illus. in color., schwarz-weiss Illustrationen, farbige Illustrationen
Zus. Info:	EUDR exemption - product or manufacturing materials placed on the market prior to 31.12.2025.
Bewertung:	Titel bewerten / Meinung schreiben

Inhalt:

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.