Pseudo-symplectic methods for stochastic Hamiltonian systems
2018
Yes
We propose a systematic approach to construct explicit pseudo-symplectic schemes for stochastic Hamiltonian systems. This method is based on generating functions, so it is an extension of the techniques used for constructing high-order symplectic schemes for stochastic Hamiltonian systems. We study the order of convergence of the proposed explicit pseudo-symplectic schemes. The excellent long term performance of the pseudo-symplectic schemes is verified numerically.
C. Anton, Pseudo-symplectic methods for stochastic Hamiltonian systems, Proceedings of NASCA 2018, Kalamata, Greece.
Conference Presentations
English
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