Symmetric linear multistep methods for second-order differential equations with periodic solutions

DOI10.1016/0168-9274(86)90016-4zbMath0596.65046OpenAlexW2583445483MaRDI QIDQ1078984

Beny Neta, B. P. Sommeijer, P. J. van der Houwen

Publication date: 1986

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://ir.cwi.nl/pub/1802

zbMATH Keywords

periodic solutionsnumerical examplessecond-orderlinear multistep proceduresreduced truncation errors

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)

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Uses Software

• REDUCE

Cites Work

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• Families of methods for ordinary differential equations based on trigonometric polynomials
• High-order one-step P-stable methods for the numerical integration of periodic initial value problems
• Numerical integration of ordinary differential equations based on trigonometric polynomials
• Stabilization of Cowell's method
• Linear Multistep Methods with Reduced Truncation Error for Periodic Initial-value Problems
• Symmetric Multistip Methods for Periodic Initial Value Problems