Adaptive Geometric Integrators for Hamiltonian Problems with Approximate Scale Invariance

DOI10.1137/S1064827502416630zbMath1076.65115OpenAlexW2157745179MaRDI QIDQ5318292

Sergio Blanes, Chris J. Budd

Publication date: 22 September 2005

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s1064827502416630

zbMATH Keywords

numerical exampleserror analysisHamiltonian systemsscaling invariancesymplectic integratorscanonical transformationsvariable time stepPoincaré transformation

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 (7)

On theoretical upper limits for valid timesteps of implicit ODE methods ⋮ Explicit adaptive symplectic integrators for solving Hamiltonian systems ⋮ A symplectic integrator for the symmetry reduced and regularised planar 3-body problem with vanishing angular momentum ⋮ Time adaptive variational integrators: a space-time geodesic approach ⋮ Long-term adaptive symplectic numerical integration of linear stochastic oscillators driven by additive white noise ⋮ How to adaptively resolve evolutionary singularities in differential equations with symmetry ⋮ Global Time-Renormalization of the Gravitational $N$-body Problem

This page was built for publication: Adaptive Geometric Integrators for Hamiltonian Problems with Approximate Scale Invariance