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math.AP2026
Guaranteed wave-speed bounds for the compressible Euler equations with a composite equation of state
Nicolas Favrie, Matthias Maier
We derive computable upper bounds on the maximum wave speed in the Riemann problem for the compressible Euler equations with a composite equation of state, in which the pressure is…
math.NA2026
Well-balanced second-order approximation of the compressible atmospheric Euler equations
Crystal Farris, Matthias Maier, Eric J. Tovar
We introduce a second-order approximation to the compressible atmospheric Euler equations with gravity that is invariant domain preserving and well-balanced with respect to rest st…