Symplectic Integration of Stochastic Hamiltonian Systems

Symplectic Integration of Stochastic Hamiltonian Systems
English | 2023 | ISBN: 9811976694 | 312 Pages | EPUB (True)/PDF | 28 MB
This book provides an accessible overview concerning the stochastic numerical methods inheriting long-time dynamical behaviours of finite and infinite-dimensional stochastic Hamiltonian systems. The long-time dynamical behaviours under study involve symplectic structure, invariants, ergodicity and invariant measure. The emphasis is placed on the systematic construction and the probabilistic superiority of stochastic symplectic methods, which preserve the geometric structure of the stochastic flow of stochastic Hamiltonian systems.