Nonlinear stability of general linear methods

DOI10.1007/s00211-006-0011-8zbMath1105.65086OpenAlexW2009865300MaRDI QIDQ2498091

Adrian T. Hill

Publication date: 11 August 2006

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-006-0011-8

zbMATH Keywords

\(A\)-stabilityone-leg methodsalgebraic stability\(AN\)-stabilityNyquist function

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)

Related Items (9)

\(G\)-matrices for algebraically stable general linear methods ⋮ Construction of algebraically stable dimsims ⋮ Algebraic stability and irreducibility of second derivative methods ⋮ Search for highly stable two-step Runge-Kutta methods ⋮ On algebraic stability of general linear methods and peer methods ⋮ Nordsieck methods with computationally verified algebraic stability ⋮ Algebraically stable diagonally implicit general linear methods ⋮ Symmetric general linear methods ⋮ Algebraically stable general linear methods and the \(G\)-matrix

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