Preservation of equilibria for symplectic methods applied to Hamiltonian systems

DOI10.1007/s10255-009-7145-2zbMath1208.37045OpenAlexW2041115108MaRDI QIDQ966519

Ying Wang, Ling-Shu Wang

Publication date: 23 April 2010

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-009-7145-2

zbMATH Keywords

equilibrium pointsHamiltonian systemssymplectic methods

Mathematics Subject Classification ID

Hamilton's equations (70H05) Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Cites Work

• Spurious behavior of a symplectic integrator
• KAM theorem of symplectic algorithms for Hamiltonian systems
• New aspects in the theory of stability of Hamiltonian systems
• On the Numerical Integration of Ordinary Differential Equations by Symmetric Composition Methods
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