Chawla-Numerov method revisited

DOI10.1016/0377-0427(91)90030-NzbMath0751.65048MaRDI QIDQ1177201

Messias Meneguette

Publication date: 26 June 1992

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

zbMATH Keywords

error estimatesChawla-Numerov two-step methodhigher derivatives and phase-lagperiodic second-order initial-value problems

Mathematics Subject Classification ID

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) Error bounds for numerical methods for ordinary differential equations (65L70)

Related Items (4)

An explicit hybrid method of Numerov type for second-order periodic initial-value problems ⋮ SDIRK methods for stiff ODEs with oscillating solutions ⋮ A parallel-in-time implementation of the Numerov method for wave equations ⋮ A quartic \(C^ 3\)-spline collocation method for solving second-order initial value problems

Cites Work

• Unnamed Item
• A Noumerov-type method with minimal phase-lag for the integration of second order periodic initial-value problems
• Numerov made explicit has better stability
• A Noumerov-type method with minimal phase-lag for the integration of second order periodic initial-value problems. II: Explicit method
• Phase-lag analysis for a family of two-step methods for second order periodic initial value problems

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