Estimates of the stability of the Runge-Kutta method for differential equations with a variable operator

DOI10.1007/BF01060512zbMath0728.65051MaRDI QIDQ805161

Nikolai Yu. Bakaev

Publication date: 1991

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

zbMATH Keywords

stabilityBanach spacesRunge-Kutta methodfinite difference schemesabstract differential equations

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Stability and convergence of numerical methods for ordinary differential equations (65L20) 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

• Unnamed Item
• Local times of homogeneous isotropic random fields of \(\chi\)-square type
• Robustness of the Runge-Kutta method for abstract linear equations
• On Runge-Kutta Methods for Parabolic Problems with Time-Dependent Coefficients

This page was built for publication: Estimates of the stability of the Runge-Kutta method for differential equations with a variable operator