By Debora Amadori,Laurent Gosse
This monograph provides, in an enticing and self-contained shape, concepts according to the L1 balance concept derived on the finish of the Nineties by means of A. Bressan, T.-P. Liu and T. Yang that yield unique blunders estimates for so-called well-balanced numerical schemes fixing 1D hyperbolic platforms of stability legislation. Rigorous mistakes estimates are offered for either scalar stability legislation and a position-dependent leisure approach, in inertial approximation. Such estimates make clear why these algorithms in line with 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 in terms of the remedy of second stability legislation. all the fabric supplied during this booklet is extremely appropriate for the knowledge of well-balanced schemes and should 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