PGSCM: A family of \(P\)-stable boundary value methods for second-order initial value problems

DOI10.1016/j.cam.2012.03.024zbMath1250.65090OpenAlexW2097212562MaRDI QIDQ433923

Cecilia Magherini, Lidia Aceto, Paolo Ghelardoni

Publication date: 9 July 2012

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2012.03.024

zbMATH Keywords

numerical experimentserror boundslinear multistep methodsoscillatory solutionboundary value methods\(P\)-stabilityspecial second order initial value problemsstability of periodic solutions

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) Numerical methods for stiff equations (65L04)

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