Titlebook: Computing Qualitatively Correct Approximations of Balance Laws; Exponential-Fit, Wel Laurent Gosse Book 2013 Springer-Verlag Italia 2013 As

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Der Formalismus der NegativspracheThe main goal of the present Chapter is to emphasize the qualitative difference between Time-Splitting (TS, also called Fractional Step, FS) and Well-Balanced (WB) numerical schemes when it comes to computing the entropy solution [26] of a simple scalar, yet non-resonant, balance law:

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Beschreibung der Methode überblickIn [.], Perthame and Simeoni proposed a well-balanced scheme for shallow water equations which main core consists in solving a modified Vlasov equation,

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Kinetic Scheme with Reflections and Linear Geometric OpticsIn [.], Perthame and Simeoni proposed a well-balanced scheme for shallow water equations which main core consists in solving a modified Vlasov equation,

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The Special Case of 2-Velocity Kinetic ModelsThis chapter deals mainly with the numerical analysis of the following one-dimensional system of semilinear equations,

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