Recent Advances in Numerical Methods for Hyperbolic PDE Systems: NumHyp 2019

Part I: Numerical methods for general problems.- 1 J.M. Gallardo et al., Incomplete Riemann solvers based on functional approximations to the absolute value function.- 2 M. Frank et al., Entropy-based methods for uncertainty quantification of hyperbolic conservation laws.- 3 I. Gomez Bueno et al., Well-balanced reconstruction operator for systems of balance laws: numerical implementation.- 4 V. Michel-Dansac and A. Thomann, On high-precision L?-stable IMEX schemes for scalar hyperbolic multi-scale Equations.- Part II: Numerical methods for speci_c problems.- 5 D. Grapsas et al., A staggered preassure correction numerical scheme to compute a travellimg reactive interface in a partially premixed mixture.- 6 M. Lukacova et al., New Invariant Domain Preserving Finite Volume Schemes for Compressible Flows.- 7 S. Jöns et al., Recent Advances and Complex Applications of the Compressible Ghost-Fluid Method.- 8 J. P. Berberich and C. Klingenberg, Entropy Stable Numerical Fluxes for Compressible Euler Equations which are Suitable for All Mach Numbers.- 9 P. Poullet et al., Residual based method for sediment transport.- Part III: New ow models.- 10 B. B. Dhia et al., Pseudo-compressibility, dispersive model and acoustic waves in shallow water flows.- 11 M. Ali Debyaoui and M. Ersoy, A Generalised Serre-Green-Naghdi equations for variable rectangular open channel hydraulics and its finite volume approximation.