Stability of the Runge-Kutta method for abstract linear equations

DOI10.1007/BF01065066zbMath0722.65049OpenAlexW2144317460MaRDI QIDQ756384

Nikolai Yu. Bakaev

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1007/bf01065066

zbMATH Keywords

stabilitydifference schemesBanach spaceRunge-Kutta methodabstract linear equationsoptimal order method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical solutions to equations with linear operators (65J10) Linear differential equations in abstract spaces (34G10)

Cites Work

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