Prolongation-collocation variational integrators

DOI10.1093/imanum/drr042zbMath1255.65227arXiv1101.1995OpenAlexW2963690049MaRDI QIDQ2902208

Melvin Leok, Tatiana Shingel

Publication date: 17 August 2012

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.1995

zbMATH Keywords

Euler-Lagrange equationsnumerical examplescollocationerror controlHermite interpolationEuler-Maclaurin quadratureHamiltonian ODEsLagrangian variational integratorsvariational order

Mathematics Subject Classification ID

Variational methods for problems in mechanics (70G75) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Lagrange's equations (70H03)

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