On the perturbation algorithm for the semidiscrete scheme for the evolution equation and estimation of the approximate solution error using semigroups

DOI10.1134/S0965542516070083zbMath1365.65151MaRDI QIDQ519129

D. V. Gulua, Jemal L. Rogava

Publication date: 4 April 2017

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

convergenceerror boundsinitial value problemfinite difference schemesCrank-Nicolson schemedifferential equation with linear operator in Banach spacereduction to two-level schemes

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical methods for initial value problems involving ordinary differential equations (65L05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Linear differential equations in abstract spaces (34G10) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical solutions to abstract evolution equations (65J08)

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Cites Work

• Une méthode multipas implicite-explicite pour l'approximation des équations d'évolution paraboliques
• Well-posedness of parabolic difference equations. Transl. from the Russian by A. Iacob
• New difference schemes for partial differential equations.
• On improving an approximate solution of a functional equation by deferred corrections
• Semidiscretization in Time for Parabolic Problems
• Crank–Nicolson Scheme for Abstract Linear Systems
• Accelerating the Convergence of Discretization Algorithms
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