2 papers
math.NA2024
On the stability of finite-volume schemes on non-uniform meshes
Pavel Bakhvalov, Mikhail Surnachev
In this paper, we study the L2 stability of high-order finite-volume schemes for the 1D transport equation on non-uniform meshes. We consider the case when a small periodic perturb…
math.NA2024
On the order of accuracy of finite-volume schemes on unstructured meshes
Pavel Bakhvalov, Mikhail Surnachev
We consider finite-volume schemes for linear hyperbolic systems with constant coefficients on unstructured meshes. Under the stability assumption, they exhibit the convergence rate…