3 papers
math.NA2025
Provably fully discrete energy-stable and asymptotic-preserving scheme for barotropic Euler equations
Megala Anandan, Mária Lukáčová-Medvid'ová
We develop structure-preserving finite volume schemes for the barotropic Euler equations in the low Mach number regime. Our primary focus lies in ensuring both the asymptotic-prese…
math.NA2025
An asymptotic preserving scheme satisfying entropy stability for the barotropic Euler system
Megala Anandan, Mária Lukáčová-Medvid'ová, S. V. Raghurama Rao
In this paper we study structure-preserving numerical methods for low Mach number barotropic Euler equations. Besides their asymptotic preserving properties that are crucial in ord…
math.NA2024
Uniformly higher order accurate schemes for dynamics of charged particles under fast oscillating magnetic fields
Megala Anandan, Benjamin Boutin, Nicolas Crouseilles
This work deals with the numerical approximation of plasmas which are confined by the effect of a fast oscillating magnetic field (see \cite{Bostan2012}) in the Vlasov model. The p…