Titlebook: Error Estimates for Well-Balanced Schemes on Simple Balance Laws; One-Dimensional Posi Debora Amadori,Laurent Gosse Book 2015 The Author(s)

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Lyapunov Functional for Inertial Approximations,In this chapter we address a semilinear system of two equations, in one space dimension, related to the wave equation with space-dependent damping. An approximation scheme is defined, of Well-Balanced type; for this scheme an error estimate is devised by means of the stability analysis for hyperbolic systems.

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SpringerBriefs in Mathematicshttp://image.papertrans.cn/e/image/314923.jpg

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Cell death in biology and pathologyh to a two-dimensional situation, numerical simulations of two-dimensional Riemann problems for the linear wave equation are shown, together with possible difficulties arising in the application of a Godunov strategy.

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Cell death in biology and pathologyh to a two-dimensional situation, numerical simulations of two-dimensional Riemann problems for the linear wave equation are shown, together with possible difficulties arising in the application of a Godunov strategy.

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Book 2015Bressan, 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. S