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KIAM Preprint № 140, Moscow, 2016
Authors: Bakhvalov P. A.
Unsteady corrector method for accuracy analysis of linear numerical schemes for transport equation
Abstract:
We introduce the concept of unsteady corrector for a wide class of linear numerical schemes for the transport equation with constant velocity on non-uniform and unstructured meshes. The unsteady corrector is governed by the same equation as the numerical solution but with nonzero right-hand side. We show that its analysis allows to obtain supraconvergence and long-time simulation accuracy properties.
Keywords:
geometric corrector, consistency and accuracy, non-uniform mesh, unstructured mesh
Publication language: russian,  pages: 32
Research direction:
Mathematical problems and theory of numerical methods
Russian source text:
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About authors:
  • Bakhvalov Pavel Alexeevisch,  orcid.org/0000-0003-3416-8277KIAM RAS