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math.NA2025
High order numerical discretizations of the Einstein-Euler equations in the Generalized Harmonic formulation
Stefano Muzzolon, Michael Dumbser, Olindo Zanotti +1
We propose two new alternative numerical schemes to solve the coupled Einstein-Euler equations in the Generalized Harmonic formulation. The first one is a finite difference (FD) Ce…
math.NA2025
On general and complete multidimensional Riemann solvers for nonlinear systems of hyperbolic conservation laws
Elena Gaburro, Mario Ricchiuto, Michael Dumbser
In this work, we introduce a framework to design multidimensional Riemann solvers for nonlinear systems of hyperbolic conservation laws on general unstructured polygonal Voronoi-li…