KIAM Main page Web Library  •  Publication Searh  Русский 
Publication

KIAM Preprint № 4, Moscow, 2024
Authors: Bakhvalov P.A., Surnachev M.D.
On stability and accuracy of finite-volume schemes on non-uniform meshes
Abstract:
The paper studies the behavior of high-order finite-volume schemes for the 1D transport equation on non-uniform meshes. We consider finite-volume schemes with a polynomial reconstruction and schemes based on divided differences. We prove a sufficient stability condition on mildly deformed meshes and establish estimates for the solution error.
Keywords:
finite volume method, consistency and accuracy, supra-convergence, long-time simulation accuracy
Publication language: russian,  pages: 39
Research direction:
Mathematical problems and theory of numerical methods
Russian source text:
Export link to publication in format:   RIS    BibTeX
View statistics (updated once a day)
over the last 30 days — 4 (-3), total hit from 29.01.2024 — 108
About authors:
  • Bakhvalov Pavel Alexeevisch,  orcid.org/0000-0003-3416-8277KIAM RAS
  • Surnachev Mikhail Dmitriyevich,  orcid.org/0000-0003-4071-5097KIAM RAS