Explicit Nordsieck methods with quadratic stability

DOI10.1007/s11075-011-9509-yzbMath1247.65104OpenAlexW2003180820MaRDI QIDQ415332

Angelamaria Cardone, Zdzisław Jackiewicz

Publication date: 8 May 2012

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

Full work available at URL: https://doi.org/10.1007/s11075-011-9509-y

zbMATH Keywords

comparison of methodsquadratic stabilityorder conditionsgeneral linear methodsinherent Runge-Kutta stabilityexplicit Nordsieck methodinherent quadratic 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)

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