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- W4311422476 abstract "This paper is concerned with the dynamics of stochastic lattice systems with Markovian switching. Based on the well-posedness of solutions, we first prove the ergodicity of invariant measures and show that the Markov chain facilitates the existence of invariant measures. In order to investigate numerical invariant measures, the convergence of invariant measures is considered between the original systems and their finite-dimensional truncated systems. Due to this, we can use the backward Euler-Maruyama method to approximate invariant measures for such infinite-dimensional systems. This work provides a feasible path for the convergence of the finite-dimensional numerical invariant measures to the analytical invariant measure." @default.
- W4311422476 created "2022-12-26" @default.
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- W4311422476 date "2022-12-04" @default.
- W4311422476 modified "2023-10-18" @default.
- W4311422476 title "Ergodicity and approximations of invariant measures for stochastic lattice systems with Markovian switching" @default.
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- W4311422476 doi "https://doi.org/10.1080/07362994.2022.2144375" @default.
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