Modified equations for variational integrators applied to Lagrangians linear in velocities

DOI10.3934/jgm.2019001zbMath1436.37095arXiv1709.09567OpenAlexW2760250053MaRDI QIDQ2329700

Mats Vermeeren

Publication date: 18 October 2019

Published in: Journal of Geometric Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.09567

zbMATH Keywords

variational integratorsdegenerate Lagrangiansparasitic oscillationsmodified equations

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) 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)

Cites Work

• Sufficient conditions for stability of linear time-varying systems
• The nonlinear Schrödinger equation. Self-focusing and wave collapse
• Modified equations for variational integrators
• Backward error analysis for multistep methods
• Discrete Hamiltonian variational integrators
• Discrete mechanics and variational integrators
• Numerical integrators based on modified differential equations
• Geometric Numerical Integration
• Instability of slowly varying systems
• The \(N\)-vortex problem. Analytical techniques
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