A continuous implicit nyström method for solving ordinary second order initial value problems

DOI10.1080/00207169908804845zbMath0939.65094OpenAlexW2015845476MaRDI QIDQ4702133

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Publication date: 10 July 2000

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

Full work available at URL: https://doi.org/10.1080/00207169908804845

zbMATH Keywords

stabilityconvergencenumerical examplessecond-order initial value problems\(C^2\)-cubic spline collocation methodcontinuous implicit Nyström method

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) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

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Cites Work

• Characterization of a class of P-stable methods for differential equations of second order
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• Numerical Methods for y″ =f(x, y) via Rational Approximations for the Cosine
• Stability of collocation methods for the numerical solution ofy″=f (x,y)
• Symmetric Multistip Methods for Periodic Initial Value Problems
• Two-step fourth order P-stable methods for second order differential equations
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