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math.NA2023★ 1 cited
High order asymptotic preserving scheme for linear kinetic equations with diffusive scaling
Megala Anandan, Benjamin Boutin, Nicolas Crouseilles
In this work, high order asymptotic preserving schemes are constructed and analysed for kinetic equations under a diffusive scaling. The framework enables to consider different cas…
math.NA2023★ 1 cited
Entropy conserving/stable schemes for a vector-kinetic model of hyperbolic systems
Megala Anandan, S. V. Raghurama Rao
The moment of entropy equation for vector-BGK model results in the entropy equation for macroscopic model. However, this is usually not the case in numerical methods because the cu…