Error Estimates for Well-Balanced Schemes on Simple Balance Laws One-Dimensional Position-Dependent Models
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 balan...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Cham
Springer International Publishing
2015, 2015
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| Edition: | 1st ed. 2015 |
| Series: | SpringerBriefs in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 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