On an asymptotic method for computing the modified energy for symplectic methods
DOI10.3934/DCDS.2014.34.1105zbMath1277.65107arXiv1304.0673OpenAlexW2064735635WikidataQ59899850 ScholiaQ59899850MaRDI QIDQ379790
Jitse Niesen, Per Christian Moan
Publication date: 11 November 2013
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1304.0673
Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)
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Cites Work
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- Monitoring energy drift with shadow Hamiltonians
- Beyond conventional Runge-Kutta methods in numerical integration of ODEs and DAEs by use of structures and local models
- From Hamiltonian perturbation theory to symplectic integrators and back
- The life-span of backward error analysis for numerical integrators
- Practical symplectic partitioned Runge-Kutta and Runge-Kutta-Nyström methods
- KAM theorem of symplectic algorithms for Hamiltonian systems
- On the Hamiltonian interpolation of near-to-the-identity symplectic mappings with application to symplectic integration algorithms
- Practical Construction of Modified Hamiltonians
- A Family of Symplectic Integrators: Stability, Accuracy, and Molecular Dynamics Applications
- Simulating Hamiltonian Dynamics
- Discrete mechanics and variational integrators
- Backward Error Analysis for Numerical Integrators
- On the KAM and Nekhoroshev theorems for symplectic integrators and implications for error growth
- On modified equations for discretizations of ODEs
- Ergodicity and the Numerical Simulation of Hamiltonian Systems
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