Linear multistep methods as irreducible general linear methods

DOI10.1007/s10543-006-0046-3zbMath1102.65078OpenAlexW1968330856MaRDI QIDQ2492730

Adrian T. Hill, John C. Butcher

Publication date: 14 June 2006

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-006-0046-3

zbMATH Keywords

numerical examplesA-stabilityerror boundsone-leg methodsG-stability

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) Error bounds for numerical methods for ordinary differential equations (65L70)

Related Items

\(G\)-matrices for algebraically stable general linear methods ⋮ Construction of algebraically stable dimsims ⋮ Algebraic stability and irreducibility of second derivative methods ⋮ Thirty years of G-stability ⋮ On algebraic stability of general linear methods and peer methods ⋮ Order conditions for general linear methods ⋮ A new class of strong stability preserving general linear methods ⋮ Projection of second derivative methods for ordinary differential equations with invariants ⋮ Algebraically stable general linear methods and the \(G\)-matrix ⋮ Multi-value Numerical Methods for Hamiltonian Systems ⋮ Nested second derivative two-step Runge-Kutta methods

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