Conservative spline methods for second-order IVPs of ODEs

DOI10.1016/S0898-1221(99)00269-2zbMath0945.65072MaRDI QIDQ1972471

Yanyan Li

Publication date: 12 October 2000

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

numerical resultsconservation lawssecond-order initial value problemsspline methodssingle step methodsenergy-conserving approximations

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (1)

Spline techniques for solving first-order evolution equations in Banach spaces

Cites Work

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• An explicit energy-conserving numerical method for equations of the form \(d^ 2x/dt^ 2=f(x)\)
• Explicit energy-conserving schemes for the three-body problem
• An approximation theorem for second-order evolution equations
• Conservative numerical methods for \(\ddot x=f(x)\)
• [https://portal.mardi4nfdi.de/wiki/Publication:4402781 Approximate Solution of the Differential Equation y � � = f(x,y) with Spline Functions]
• Spline Function Approximations for Solutions of Ordinary Differential Equations
• Spline function approximations for solutions of ordinary differential equations

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