Comment on: A two-stage fourth-order ``almost \(P\)-stable method for oscillatory problems

DOI10.1016/S0377-0427(98)00266-0zbMath0955.65051MaRDI QIDQ1301821

T. Van Hecke, Guido Vanden Berghe, Marnix van Daele, H. E. De Meyer

Publication date: 4 March 2001

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

zbMATH Keywords

Runge-Kutta-Nyström methodsmultistep methodsoscillatory problems\(P\)-stability

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Cites Work

• Unnamed Item
• A mono-implicit Runge-Kutta-Nyström modification of the Numerov method
• A two-stage fourth-order ``almost P-stable method for oscillatory problems
• Symmetric Multistip Methods for Periodic Initial Value Problems

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