On differential approximations of difference schemes

DOI10.18500/1816-9791-2021-21-4-472-488zbMath1486.65094OpenAlexW4200328559MaRDI QIDQ5067364

Yury A. Blinkov, M. D. Malykh, L. A. Sevast'yanov

Publication date: 1 April 2022

Published in: Izvestiya of Saratov University. New Series. Series: Mathematics. Mechanics. Informatics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/isu911

zbMATH Keywords

difference equationsdifferential equationsdifference schemecomputer algebraconsistency of differential equations

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items

Investigation of difference schemes for two-dimensional Navier-Stokes equations by using computer algebra algorithms

Uses Software

• SymPy

Cites Work

• Formal algorithmic elimination for PDEs
• Finite difference schemes for incompressible flow based on local pressure boundary conditions
• Galois theory of difference equations
• Algebraic construction of a strongly consistent, permutationally symmetric and conservative difference scheme for 3D steady Stokes flow
• Difference algebra
• The first differential approximation to finite-difference schemes for hyperbolic systems of equations
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