3 papers
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…
math.NA2025
Asymptotic preserving methods for the low mach limit in discrete velocity models approximating kinetic equations
Giacomo Dimarco, Axel Klar, Theresa Köfler +1
We consider a Lattice Boltzmann type discrete velocity model in the low Mach number scaling and develop a corresponding numerical scheme that remains uniformly valid across all reg…
math.NA2025
Higher-order meshless schemes for hyperbolic equations
Klaas Willems, Giovanni Samaey, Axel Klar
We discuss the order, efficiency, stability and positivity of several meshless schemes for linear scalar hyperbolic equations. Meshless schemes are Generalised Finite Difference Me…