Nonlinear Stability Analysis of Area-Preserving Integrators

DOI10.1137/S0036142998349527zbMath0965.65140MaRDI QIDQ4509676

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Publication date: 19 October 2000

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

zbMATH Keywords

Hamiltonian systemsintegratornonlinear stability analysistwist mapsymplecticelliptic equilibria

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) Stability theory for smooth dynamical systems (37C75) Numerical nonlinear stabilities in dynamical systems (65P40)

Related Items (4)

Stability of asynchronous variational integrators ⋮ Numerical invariant tori of symplectic integrators for integrable Hamiltonian systems ⋮ Asynchronous multi-domain variational integrators for non-linear problems ⋮ RECONSIDERING TRIGONOMETRIC INTEGRATORS

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