On algebraic stability of general linear methods and peer methods

DOI10.1016/J.APNUM.2012.06.005zbMath1253.65115OpenAlexW2078393886MaRDI QIDQ450923

Bernhard A. Schmitt

Publication date: 26 September 2012

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2012.06.005

zbMATH Keywords

matrix Riccati equationsgeneral linear methodsalgebraic stabilityimplicit peer two-step methods

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20)

Related Items (1)

Reprint of: Peer methods with improved embedded sensitivities for parameter-dependent ODEs

Uses Software

• RODAS

Cites Work

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• \(G\)-matrices for algebraically stable general linear methods
• Algebraically stable general linear methods and the \(G\)-matrix
• General linear method: A survey
• Implicit parallel peer methods for stiff initial value problems
• Explicit general linear methods with inherent Runge--Kutta stability
• Linear multistep methods as irreducible general linear methods
• Nonlinear stability of general linear methods
• Multi-implicit peer two-step W-methods for parallel time integration
• Non-linear stability of a general class of differential equation methods
• Parallel Two-Step W-Methods with Peer Variables

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