Convergence rate of an asymptotic preserving scheme for the diffusive limit of the p-system with damping

The reader will note that the AFL surface has a non-uniform temperature distribution across the flow channels; The temperatures underneath the ribs are lower than those beneath

This idea has been used to design a numerical scheme that preserves both the compressible Euler and Navier-Stokes asymptotics for the Boltzmann equation of rar- efied gas dynamics

While such problems exhibit purely diffusive behavior in the optically thick (or small Knudsen) regime, we prove that UGKS is still asymptotic preserving (AP) in this regime, but

consider an implicit in time and finite volume in space scheme with a Scharfetter- Gummel approximation of the convection-diffusion fluxes.. As it is classical in the finite

While almost all the schemes mentioned before are based on very similar ideas, the approach proposed in [23] has been shown to be very general, since it applies to kinetic equations

We also prove convergence of the ε-discretized solutions used in the semigroup approach to the problem; and we prove convergence of a monotone time-implicit finite volume

trary we can show that it works properly either for strongly polar or vibrationally highly-excited molecules. In the former case, which corresponds to all the molecules in

For these pathologies, we cross‑referenced the Orphanet, MeSH, and OMIM vocabularies to assess the number of publication available on Pubmed using three different query