L(α)-stable variable-order implicit second derivative Runge-Kutta methods

DOI10.1134/S1995423914040065zbMath1340.65142OpenAlexW2035380711MaRDI QIDQ3192546

M. N. O. Ikhile, R. I. Okuonghae

Publication date: 12 October 2015

Published in: Numerical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995423914040065

zbMATH Keywords

interpolationnumerical experimentscollocationlinear multistep methodstiff initial value problemsoutput methodsecond derivative Runge-Kutta method

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) 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) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical methods for stiff equations (65L04)

Related Items (4)

On some multi-block reverse Adams methods for stiff problems ⋮ Generalized second derivative linear multistep methods based on the methods of Enright ⋮ Unnamed Item ⋮ Analysis of the Spectral Stability of the Generalized Runge–Kutta Methods Applied to Initial-Boundary-Value Problems for Equations of the Parabolic Type. I. Explicit Methods

This page was built for publication: L(α)-stable variable-order implicit second derivative Runge-Kutta methods