Algebraically stable general linear methods and the \(G\)-matrix

DOI10.1007/s10543-008-0207-7zbMath1167.65042OpenAlexW2092615568MaRDI QIDQ1014898

L. L. Hewitt, Adrian T. Hill

Publication date: 29 April 2009

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-008-0207-7

zbMATH Keywords

numerical examplesdissipative systemsorder conditionsgeneral linear methodsalgebraic stabilitydiscrete algebraic Riccati equation

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)

Construction of high-order quadratically stable second-derivative general linear methods for the numerical integration of stiff ODEs ⋮ \(G\)-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 ⋮ EFFICIENT GENERAL LINEAR METHODS OF HIGH ORDER WITH INHERENT QUADRATIC STABILITY

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