Laurent Gosse: 2 books
Computing Qualitatively Correct Approximations of Balance Laws
Exponential-Fit, Well-Balanced and Asymptotic-Preserving
Language: English
Release Date: March 30, 2013
Substantial effort has been drawn for years onto the development of (possibly high-order) numerical techniques for the scalar homogeneous conservation law, an equation which is strongly dissipative in L1 thanks to shock wave formation. Such a dissipation property is generally lost when considering...
Error Estimates for Well-Balanced Schemes on Simple Balance Laws
One-Dimensional Position-Dependent Models
Language: English
Release Date: October 23, 2015
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...