Two Step Runge-Kutta-Nyström Methods for y″ = f(x,y) and P-Stability

DOI10.1007/3-540-47789-6_48zbMath1056.65071OpenAlexW1493173425MaRDI QIDQ4739392

Beatrice Paternoster

Publication date: 12 August 2004

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/3-540-47789-6_48

zbMATH Keywords

collocation methodsRunge-Kutta-Nyström methodslinear multistep methodsP-stabilitystiff oscillatory systems

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) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

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