Galerkin variational integrators and modified symplectic Runge–Kutta methods

DOI10.1093/imanum/drv062zbMath1433.65134OpenAlexW2338595720MaRDI QIDQ4683758

Sina Ober-Blöbaum

Publication date: 26 September 2018

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

Full work available at URL: https://doi.org/10.1093/imanum/drv062

zbMATH Keywords

order of convergencediscrete variational mechanicsvariational integratorssymplectic partitioned Runge-Kutta methods

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)

Related Items (14)

Multisymplectic Hamiltonian variational integrators ⋮ Construction and analysis of higher order Galerkin variational integrators ⋮ Stochastic discrete Hamiltonian variational integrators ⋮ The variational discretization of the constrained higher-order Lagrange-Poincaré equations ⋮ Variational integrators for orbital problems using frequency estimation ⋮ Construction and analysis of higher order variational integrators for dynamical systems with holonomic constraints ⋮ Symplectic‐preserving Fourier spectral scheme for space fractional<scp>Klein–Gordon–Schrödinger</scp>equations ⋮ A Herglotz-based integrator for nonholonomic mechanical systems ⋮ Optimality Conditions (in Pontryagin Form) ⋮ Geometric Optimal Trajectory Tracking of Nonholonomic Mechanical Systems ⋮ Error analysis through energy minimization and stability properties of exponential integrators ⋮ Fractional damping through restricted calculus of variations ⋮ High-order variational time integrators for particle dynamics ⋮ High order variational integrators in the optimal control of mechanical systems

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