3 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
Computation of the solution for the 2D acoustic pulse propagation
Pavel Bakhvalov
We consider the 2D acoustic system with the Gaussian pulse as the initial data. This case was proposed at the first Workshop on benchmark problems in computational aeroacoustics, a…
math.NA2024
Convergence rate of the spectral difference method on regular triangular meshes
Pavel Bakhvalov
We consider the spectral difference method based on the p-th order Raviart~-- Thomas space (p=1,2,3) on regular triangular meshes for the scalar transport equation. The solution co…