Error Estimates for Well-Balanced Schemes on Simple Balance Laws

One-Dimensional Position-Dependent Models

Nonfiction, Science & Nature, Mathematics, Number Systems, Differential Equations
Cover of the book Error Estimates for Well-Balanced Schemes on Simple Balance Laws by Debora Amadori, Laurent Gosse, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Debora Amadori, Laurent Gosse ISBN: 9783319247854
Publisher: Springer International Publishing Publication: October 23, 2015
Imprint: Springer Language: English
Author: Debora Amadori, Laurent Gosse
ISBN: 9783319247854
Publisher: Springer International Publishing
Publication: October 23, 2015
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Women’s Manga in Asia and Beyond by Debora Amadori, Laurent Gosse
Cover of the book Pulmonary Dysfunction and Disease by Debora Amadori, Laurent Gosse
Cover of the book Understanding and Controlling the Irritable Bowel by Debora Amadori, Laurent Gosse
Cover of the book Mathematica for Bioinformatics by Debora Amadori, Laurent Gosse
Cover of the book Graphene-based Materials in Health and Environment by Debora Amadori, Laurent Gosse
Cover of the book Dynamics and Control of Advanced Structures and Machines by Debora Amadori, Laurent Gosse
Cover of the book Biomechanics of Anthropomorphic Systems by Debora Amadori, Laurent Gosse
Cover of the book Computer Information Systems and Industrial Management by Debora Amadori, Laurent Gosse
Cover of the book Personalized Task Recommendation in Crowdsourcing Systems by Debora Amadori, Laurent Gosse
Cover of the book Fragility Fractures of the Pelvis by Debora Amadori, Laurent Gosse
Cover of the book Generalized Connectivity of Graphs by Debora Amadori, Laurent Gosse
Cover of the book Business Ethics in the Social Context by Debora Amadori, Laurent Gosse
Cover of the book Percutaneous Renal Surgery by Debora Amadori, Laurent Gosse
Cover of the book Pairwise Comparison Matrices and their Fuzzy Extension by Debora Amadori, Laurent Gosse
Cover of the book ADHD in Lebanese Schools by Debora Amadori, Laurent Gosse
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy