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• W2742480034 abstract "We develop rigorous error estimates and provably convergent approximations for the memory integral in the Mori-Zwanzig (MZ) formulation. The new theory is build upon rigorous mathematical foundations and it is presented for both state-space and probability density function space formulations of the MZ equation. In particular, we derive error bounds and sufficient convergence conditions for short-memory approximations, the $t$-model and new types of hierarchical finite-memory approximations. Numerical examples demonstrating convergence of the proposed algorithms are presented for linear and nonlinear dynamical systems evolving from random initial states." @default.
• W2742480034 created "2017-08-17" @default.
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• W2742480034 date "2017-08-05" @default.
• W2742480034 modified "2023-10-16" @default.
• W2742480034 title "Rigorous error estimates for the memory integral in the Mori-Zwanzig formulation" @default.
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