Two-step fourth order methods for linear ODEs of the second order

DOI10.1007/s11075-008-9249-9zbMath1170.65058OpenAlexW2030898098MaRDI QIDQ834651

Mikhail Valer'yanovich Bulatov, Guido Vanden Berghe

Publication date: 27 August 2009

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-008-9249-9

zbMATH Keywords

numerical examplesdifference schemeslinear\(P\)-stabilityNumerov method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite difference and finite volume methods for ordinary differential equations (65L12)

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Cites Work

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• Importance of the first-order derivative formula in the Obrechkoff method
• Construction of a one-stage \(L\)-stable second-order method
• P-stable exponentially-fitted Obrechkoff methods of arbitrary order for second-order differential equations
• Stabilization of Cowell's method
• \(P\)-stable Obrechkoff methods of arbitrary order for second-order differential equations
• Symmetric Multistip Methods for Periodic Initial Value Problems

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