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

artifice

https://doi.org/10.1007/3-540-27648-3schemes is generally associated to a change of paradigm: one switches from a nonlinear flux term like .(.) to a linear advection equation . + . + . = 0. Kinetic equations, like Vlasov equation (6.2), can be seen as being in midstream.

Obloquy

Introduction and Chronological Perspectiveobjective here is more trying to unify seemingly different sectors in numerical analysis rather than being very specific (this will come later on). In particular, one can figure out the main ideas exposed in the sequel by examining very classical computations which trace back to 1960–70, namely the

surmount

Early Well-Balanced Derivations for Various Systemsechniques in order to take advantage of their strong stability properties in the more delicate context of non-homogeneous systems: for instance, the well-known fact that the Godunov scheme has zero numerical viscosity at steady-state (the preservation of steady-state curves is actually a consequence

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