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Error Estimates for Well-Balanced Schemes on Simple Balance Laws by Debora Amadori
Error Estimates for Well-Balanced Schemes on Simple Balance Laws by Debora Amadori
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Error Estimates for Well-Balanced Schemes on Simple Balance Laws

One-Dimensional Position-Dependent Models
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Description

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.
Release date NZ
November 23rd, 2015
Audience
  • Postgraduate, Research & Scholarly
Edition
1st ed. 2015
Illustrations
15 Illustrations, color; 9 Illustrations, black and white; XV, 110 p. 24 illus., 15 illus. in color.
Pages
110
Dimensions
155x235x7
ISBN-13
9783319247847
Product ID
23867300

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