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KIAM Preprint  11, Moscow, 2024
Authors: Bulatov P.E.
Numerical integration of one-dimensioned parabolic problems using adaptive grids
Abstract:
A method of numerical integration of one-dimensioned parabolic initial boundary value problems with contrast structures using movable adaptive grids is described. A difference scheme which is resistant to machine rounding errors and time-monotonic is constructed. Algorithms for constructing adaptive grids in space and time are proposed. A series of numerical experiments using the example of a singularly perturbed reaction-diffusion-advection problem is provided.
Keywords:
initial boundary value problems, contrast structures, numerical methods, adaptive grids, movable adaptive grids
Publication language: russian,  pages: 16
Research direction:
Mathematical modelling in actual problems of science and technics
Russian source text:
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About authors:
  • Bulatov Pavel Evgenyevich,  orcid.org/0000-0001-8886-0504KIAM RAS