On a variational approach for the analysis and numerical simulation of ODEs

DOI10.3934/DCDS.2013.33.1275zbMath1264.65101OpenAlexW2322450368MaRDI QIDQ1948744

Pablo Pedregal, Sergio Amat

Publication date: 24 April 2013

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2013.33.1275

zbMATH Keywords

linearizationnumerical exampleserror boundsvariational methodsstiff systemsNewton type methodKepler problemsystems of ordinary differential equationscollocation schemesLorentz system

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical methods for stiff equations (65L04)

Related Items (4)

Variational methods for non-variational problems ⋮ On a Newton-type method for differential-algebraic equations ⋮ A variable step-size implementation of a variational method for stiff differential equations ⋮ On differential singular perturbation problems: a simple variational approach

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