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KIAM Preprint № 4, Moscow, 2024
Authors: Bakhvalov P.A., Surnachev M.D.
On stability and accuracy of finite-volume schemes on non-uniform meshes
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.
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
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About authors:
  • Bakhvalov Pavel Alexeevisch, RAS
  • Surnachev Mikhail Dmitriyevich, RAS