Titlebook: Approximation and Stability Properties of Numerical Methods for Hyperbolic Conservation Laws; Philipp ?ffner Book 2023 The Editor(s) (if a

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Herbivorous

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Artificial Viscosity for SBP-FR Methods and the Construction of Fully Discrete Stable SchemesIn the last section of Chapter 5, we have seen that the artificial dissipation/spectral viscosity (or modal filters) can have an huge influence of the performance of the numerical methods and in the following part we focus on this issue more precisely.

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ALLAY

L. Heilmeyer,A. Schittenhelm,B. Rudderenty of various methods and studies in the literature cf. [135, 136, 305]. However, most of them are either based on finite difference (FD) or finite element approaches (FE), and we focus also here on these.

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https://doi.org/10.1007/978-3-662-33020-3data and, in general, one distinguishes between numerical errors which we already investigated and these uncertainties. The errors are strictly deterministic quantities, whereas the uncertainties are stochastic quantities.