Algebraic scheme of discrete approximations of linear and nonlinear dynamical systems of mathematical physics

DOI10.1007/BF01057202zbMath0683.35083OpenAlexW2030291900MaRDI QIDQ1824775

Valeriy H. Samoylenko, Yu. O. Mitropol's'kii, Anatoliy K. Prykarpatsky

Publication date: 1988

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01057202

zbMATH Keywords

dynamical systemsnonlinear dynamical systemsdiscrete approximationsalgebraic scheme

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Partial differential equations of mathematical physics and other areas of application (35Q99) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (3)

Generalized pseudospectral method and zeros of orthogonal polynomials ⋮ Application of the generalized method of Lie-algebraic discrete approximations to the solution of the Cauchy problem with the advection equation ⋮ Generalized method of Lie-algebraic discrete approximations for solving Cauchy problems with evolution equation

Cites Work

• Isospectral matrices and classical polynomials
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