By Debora Amadori,Laurent Gosse
This monograph offers, in an enticing and self-contained shape, concepts in line with the L1 balance conception derived on the finish of the Nineteen Nineties through A. Bressan, T.-P. Liu and T. Yang that yield unique mistakes estimates for so-called well-balanced numerical schemes fixing 1D hyperbolic platforms of stability legislation. Rigorous blunders estimates are provided for either scalar stability legislation and a position-dependent rest process, in inertial approximation. Such estimates make clear why these algorithms in response to resource phrases dealt with like "local scatterers" can outperform different, extra typical, numerical schemes. Two-dimensional Riemann difficulties for the linear wave equation also are solved, with dialogue of the problems raised with regards to the remedy of second stability legislation. all the fabric supplied during this ebook is very appropriate for the certainty of well-balanced schemes and may give a contribution to destiny improvements.
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Extra resources for Error Estimates for Well-Balanced Schemes on Simple Balance Laws: One-Dimensional Position-Dependent Models (SpringerBriefs in Mathematics)
Error Estimates for Well-Balanced Schemes on Simple Balance Laws: One-Dimensional Position-Dependent Models (SpringerBriefs in Mathematics) by Debora Amadori,Laurent Gosse