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math.NA2023
An Asymptotic Preserving and Energy Stable Scheme for the Euler-Poisson System in the Quasineutral Limit
K. R. Arun, Rahuldev Ghorai, Mainak Kar
An asymptotic preserving and energy stable scheme for the Euler-Poisson system under the quasineutral scaling is designed and analysed. Correction terms are introduced in the conve…
math.NA2023
A semi-implicit finite volume scheme for dissipative measure-valued solutions to the barotropic Euler system
K. R. Arun, Amogh Krishnamurthy
A semi-implicit in time, entropy stable finite volume scheme for the compressible barotropic Euler system is designed and analyzed and its weak convergence to a dissipative measure…