Application of the generalized method of Lie-algebraic discrete approximations to the solution of the Cauchy problem with the advection equation

DOI10.1007/s10958-014-2202-7zbMath1328.65194OpenAlexW2001309765MaRDI QIDQ891699

Arkadii A. Kindybaliuk, Mykola M. Prytula

Publication date: 17 November 2015

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-014-2202-7

zbMATH Keywords

discretizationCauchy problemadvection equationapproximation schemefactorial convergenceLie-algebraic discrete approximations

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Initial value problems for first-order hyperbolic equations (35L03)

Cites Work

• The rank of projection-algebraic representations of some differential operators
• Algebraic scheme of discrete approximations of linear and nonlinear dynamical systems of mathematical physics
• Approximation properties of the Lie-algebraic scheme
• Modification of the Lie-algebraic scheme and approximation error estimations.
• Lie algebraic solutions of linear Fokker–Planck equations
• On Global Representations of the Solutions of Linear Differential Equations as a Product of Exponentials
• Solution of linear partial differential equations by Lie algebraic methods
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