A theoretical framework for backward error analysis on manifolds

DOI10.3934/jgm.2011.3.81zbMath1220.65178OpenAlexW2317580479MaRDI QIDQ542594

Anders C. Hansen

Publication date: 10 June 2011

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

Full work available at URL: https://doi.org/10.3934/jgm.2011.3.81

zbMATH Keywords

Lie groupsvector fieldssymplectic integratorsbackward error analysisinfinite-dimensional manifoldsdifffeomorphism groups

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Error bounds for numerical methods for ordinary differential equations (65L70) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items (4)

Variational integrators for non-autonomous Lagrangian systems ⋮ Geometric integration of Hamiltonian systems perturbed by Rayleigh damping ⋮ The geometry of convergence in numerical analysis ⋮ What makes nonholonomic integrators work?

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