A class of continuous hybrid linear multistep methods for stiff IVPs in ODEs

DOI10.2478/v10157-012-0004-0zbMath1274.65197OpenAlexW2030007218MaRDI QIDQ2839524

R. I. Okuonghae

Publication date: 11 July 2013

Published in: Annals of the Alexandru Ioan Cuza University - Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/v10157-012-0004-0

zbMATH Keywords

numerical resultsinitial value problemroot locusstiff stabilitycollocation and interpolationcontinuous hybrid linear multistep methods

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 (1)

Second derivative general linear methods

Uses Software

• Matlab
• Ode15s

Cites Work

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• A Modified Multistep Method for the Numerical Integration of Ordinary Differential Equations
• Generalized Multistep Predictor-Corrector Methods
• Multistep Methods With Modified Predictors and Correctors
• The automatic integration of ordinary differential equations
• Second Derivative Multistep Methods for Stiff Ordinary Differential Equations
• Mixed collocation methods for \(y=f(x,y)\)

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