| Abstract: |
| In this talk we will introduce a new approach to analyse the stability of symplectic numerical integration of Hamiltonian systems. We will illustrate the main idea by applying the symplectic Euler method to the normalized nonlinear oscillator and show at what extent a symplectic method can give a stable numerical simulation to the typical dynamics of Hamiltonian systems. The explanation is mainly based on the stability analysis of Hamiltonian systems and the backward analysis of numerical methods. |
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