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Debora Amadori & Laurent Gosse 
Error Estimates for Well-Balanced Schemes on Simple Balance Laws 
One-Dimensional Position-Dependent Models

الدعم

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.

€53.49
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قائمة المحتويات

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.

لغة الإنجليزية ● شكل PDF ● صفحات 110 ● ISBN 9783319247854 ● حجم الملف 3.3 MB ● الناشر Springer International Publishing ● مدينة Cham ● بلد CH ● نشرت 2015 ● للتحميل 24 الشهور ● دقة EUR ● هوية شخصية 4621875 ● حماية النسخ DRM الاجتماعية

المزيد من الكتب الإلكترونية من نفس المؤلف (المؤلفين) / محرر

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