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math.NA2026
A relaxation system for the low-Mach limit of kinetic equations: Stability and higher order asymptotic preserving scheme
Giacomo Dimarco, Axel Klar, Theresa Köfler +3
This work introduces a hyperbolic relaxation system designed for the simulation of kinetic equations in the low-Mach number limit. The methodology is built upon a micro-macro decom…
math.NA2026
High-Order Asymptotic-Preserving Schemes for Kinetic Equations from Rarefied to Incompressible Regimes
Giacomo Dimarco, Axel Klar, Theresa Köfler +2
This work introduces a novel high-order numerical framework for solving kinetic equations, designed to remain uniformly valid across all regimes of the mean free path, spanning fro…