A class of two-step \(P\)-stable methods for the accurate integration of second order periodic initial value problems

DOI10.1016/0377-0427(86)90080-4zbMath0594.65057OpenAlexW2011511697MaRDI QIDQ1077137

U. Ananthakrishnaiah

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0377-0427(86)90080-4

zbMATH Keywords

two-step methodsNumerical resultsP-stable methodsminimal local errorsecond order periodic initial value problems

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (3)

Obrechkoff methods having additional parameters for general second-order differential equations ⋮ Additive parameters methods for the numerical integration of \(y=f(t,y,y')\) ⋮ Fourth order finite difference methods for the system of 2-d nonlinear elliptic equations with variable coefficients

Cites Work

• Unconditionally stable Noumerov-type methods for second order differential equations
• A Noumerov-type method with minimal phase-lag for the integration of second order periodic initial-value problems
• Unconditionally stable methods for second order differential equations
• Damping and phase analysis for some methods for solving second-order ordinary differential equations
• A one-step method for direct integration of structural dynamic equations
• Symmetric Multistip Methods for Periodic Initial Value Problems
• On accuracy and unconditional stability of linear multistep methods for second order differential equations
• Two-step fourth order P-stable methods for second order differential equations

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