Semigeostrophic Particle Motion and Exponentially Accurate Normal forms

DOI10.1137/05064326XzbMath1114.76008arXivmath/0510461MaRDI QIDQ3446799

Colin John Cotter, Sebastian Reich

Publication date: 26 June 2007

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0510461

zbMATH Keywords

symplectic integratorsLagrangian particlesrotating shallow-water system

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) General theory of rotating fluids (76U05) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)

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A new symmetric linearly implicit exponential integrator preserving polynomial invariants or Lyapunov functions for conservative or dissipative systems ⋮ H s -class construction of an almost invariant slow subspace for the Klein–Gordon equation in the non-relativistic limit ⋮ Data assimilation on the exponentially accurate slow manifold ⋮ Quasi-Convergence of an Implementation of Optimal Balance by Backward-Forward Nudging ⋮ Optimal Balance via Adiabatic Invariance of Approximate Slow Manifolds ⋮ A direct construction of a slow manifold for a semilinear wave equation of Klein-Gordon type ⋮ Long-term analysis of a variational integrator for charged-particle dynamics in a strong magnetic field

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