Error Estimates for Well-Balanced Schemes on Simple Balance by Debora Amadori,Laurent Gosse PDF

By Debora Amadori,Laurent Gosse

This monograph provides, in an enticing and self-contained shape, thoughts in keeping with the L1 balance idea derived on the finish of the Nineties by means of A. Bressan, T.-P. Liu and T. Yang that yield unique mistakes estimates for so-called well-balanced numerical schemes fixing 1D hyperbolic structures of stability legislation. Rigorous mistakes estimates are provided for either scalar stability legislation and a position-dependent leisure approach, in inertial approximation. Such estimates make clear why these algorithms in keeping with resource phrases dealt with like "local scatterers" can outperform different, extra ordinary, numerical schemes. Two-dimensional Riemann difficulties for the linear wave equation also are solved, with dialogue of the problems raised when it comes to the remedy of second stability legislation. all the fabric supplied during this booklet is extremely proper for the knowledge of well-balanced schemes and should give a contribution to destiny improvements.

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Error Estimates for Well-Balanced Schemes on Simple Balance Laws: One-Dimensional Position-Dependent Models (SpringerBriefs in Mathematics) by Debora Amadori,Laurent Gosse

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