Non-existence of the modified first integral by symplectic integration methods

DOI10.1016/S0375-9601(01)00186-4zbMath0984.81044MaRDI QIDQ5935208

Haruo Yoshida

Publication date: 20 June 2001

Published in: Physics Letters. A (Search for Journal in Brave)

zbMATH Keywords

Hamiltoniansymplectic mappingtime evolution

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (7)

RETRACTED: Solutions of the equilibrium equations with finite mass subject ⋮ A Symplectic Trigonometrically Fitted Modified Partitioned Runge-Kutta Method for the Numerical Integration of Orbital Problems ⋮ On the estimation and correction of discretization error in molecular dynamics averages ⋮ Symplectic and trigonometrically fitted symplectic methods of second and third order ⋮ On stabilization of energy for Hamiltonian systems ⋮ POST-STABILIZATION OF INVARIANTS AND APPLICATION TO NUMERICAL ANALYSIS OF CHAOS FOR SOME 3-DIMENSIONAL SYSTEMS ⋮ A super-integrable discretization of the Calogero model

Cites Work

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• Recent progress in the theory and application of symplectic integrators
• The life-span of backward error analysis for numerical integrators
• Existence of formal integrals of symplectic integrators
• On the Hamiltonian interpolation of near-to-the-identity symplectic mappings with application to symplectic integration algorithms
• Solving Ordinary Differential Equations I
• On the Numerical Integration of Ordinary Differential Equations by Symmetric Composition Methods
• Superintegrable n=2 systems, quadratic constants of motion, and potentials of Drach

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