Regarding the absolute stability of Størmer-Cowell methods

DOI10.3934/dcds.2014.34.1131zbMath1278.65117OpenAlexW2063216471MaRDI QIDQ379793

Syvert P. Nørsett, Andreas Asheim

Publication date: 11 November 2013

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2014.34.1131

zbMATH Keywords

absolute stabilitymultistep methodscelestial mechanicssecond-order problemsStørmer-Cowell methods

Mathematics Subject Classification ID

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) Celestial mechanics (70F15)

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Cites Work

• Numerical integration of ordinary differential equations based on trigonometric polynomials
• Stabilization of Cowell's method
• Solving Ordinary Differential Equations I
• Symmetric Multistip Methods for Periodic Initial Value Problems
• On accuracy and unconditional stability of linear multistep methods for second order differential equations
• Geometric numerical integration illustrated by the Störmer–Verlet method
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