Modified equations for variational integrators

DOI10.1007/s00211-017-0896-4zbMath1378.65185arXiv1505.05411OpenAlexW3104337616MaRDI QIDQ1681795

Mats Vermeeren

Publication date: 24 November 2017

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.05411

zbMATH Keywords

numerical examplemodified Lagrangiansvariational integrators

Mathematics Subject Classification ID

Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items (10)

Performance assessment of energy-preserving, adaptive time-step variational integrators ⋮ The inverse problem of the calculus of variations for discrete systems ⋮ Backward error analysis for variational discretisations of PDEs ⋮ Modified equations and the Basel problem ⋮ Variational integrators for non-autonomous Lagrangian systems ⋮ Backward error analysis for conjugate symplectic methods ⋮ Structure preserving discretization of time-reparametrized Hamiltonian systems with application to nonholonomic mechanics ⋮ Modified equations for variational integrators applied to Lagrangians linear in velocities ⋮ Variational learning of Euler-Lagrange dynamics from data ⋮ Contact variational integrators

Cites Work

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• Modified equations and the Basel problem
• Discrete mechanics and variational integrators
• Backward Error Analysis for Numerical Integrators
• Geometric numerical integration illustrated by the Störmer–Verlet method
• On modified equations for discretizations of ODEs
• Geometric Numerical Integration

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