\(G\)-matrices for algebraically stable general linear methods

DOI10.1007/s11075-009-9299-7zbMath1188.65096OpenAlexW1965211209MaRDI QIDQ849279

Adrian T. Hill

Publication date: 25 February 2010

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-009-9299-7

zbMATH Keywords

algorithmgeneral linear methodsG-matrixalgebraical stabilitygeneralised eigenvectors

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Linear ordinary differential equations and systems (34A30) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (2)

Construction of algebraically stable dimsims ⋮ On algebraic stability of general linear methods and peer methods

Cites Work

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• Nonlinear stability of general linear methods
• Parallel Two-Step W-Methods with Peer Variables
• A General Class of Two-Step Runge–Kutta Methods for Ordinary Differential Equations
• A -Stable Composite Multistep Methods
• Conditions for Positive and Nonnegative Definiteness in Terms of Pseudoinverses

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