A modified numerov integration method for second order periodic initial-value problems

DOI10.1080/00207169008803830zbMath0752.65059OpenAlexW2151207784MaRDI QIDQ4009741

Jan Vanthournout, Guido Vanden Berghe, H. E. De Meyer

Publication date: 27 September 1992

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169008803830

zbMATH Keywords

implicit methodperiodic initial value problems\(P\)-stabilitytwo-step methodNumerov methodlower order method

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear ordinary differential equations and systems (34A34) 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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Cites Work

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• A Noumerov-type method with minimal phase-lag for the integration of second order periodic initial-value problems. II: Explicit method
• Two-step hybrid methods for periodic initial value problems
• High order P-stable formulae for the numerical integration of periodic initial value problems
• Unconditionally stable methods for second order differential equations
• Chebyshevian multistep methods for ordinary differential equations
• Multiderivative Methods for Periodic Initial Value Problems
• Symmetric Multistip Methods for Periodic Initial Value Problems
• Two-step fourth order P-stable methods for second order differential equations
• Two-step fourth order P-stable methods for second order differential equations

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