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 Knowledge, Learning and Innovation by Debora Amadori, Laurent Gosse
Cover of the book Big Data: Conceptual Analysis and Applications by Debora Amadori, Laurent Gosse
Cover of the book Topics in Cryptology – CT-RSA 2018 by Debora Amadori, Laurent Gosse
Cover of the book Lectures on Quantum Statistics by Debora Amadori, Laurent Gosse
Cover of the book The Semantic Web: ESWC 2014 Satellite Events by Debora Amadori, Laurent Gosse
Cover of the book Recipes and Songs by Debora Amadori, Laurent Gosse
Cover of the book Mobile Web and Intelligent Information Systems by Debora Amadori, Laurent Gosse
Cover of the book Landslides in Cold Regions in the Context of Climate Change by Debora Amadori, Laurent Gosse
Cover of the book Stem Surface Area in Modeling of Forest Stands by Debora Amadori, Laurent Gosse
Cover of the book Algebraic Combinatorics by Debora Amadori, Laurent Gosse
Cover of the book Non-equilibrium Dynamics of One-Dimensional Bose Gases by Debora Amadori, Laurent Gosse
Cover of the book MultiMedia Modeling by Debora Amadori, Laurent Gosse
Cover of the book Atlas of Infections in Neurosurgery and Spinal Surgery by Debora Amadori, Laurent Gosse
Cover of the book English for Writing Research Papers by Debora Amadori, Laurent Gosse
Cover of the book Urban Governance and Informal Settlements 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