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• W2971761142 abstract "We address a numerical methodology for the computation of coarse-grained stable and unstable manifolds of saddle equilibria/stationary states of multiscale/stochastic systems for which a good macroscopic description in the form of Ordinary (ODEs) and/or Partial differential equations (PDEs) does not explicitly/ analytically exists in a closed form. Thus, the assumption is that we have a detailed microscopic simulator of a complex system in the form of Monte-Carlo, Brownian dynamics, Agent-based models e.t.c. (or a black-box large-scale discrete time simulator) but due to the inherent complexity of the problem, we don't have explicitly an accurate model in the form of ODEs or PDEs. Our numerical scheme is a three-tier one including: (a) the on demand detection of the coarse-grained saddle equilibrium, (b) its coarse-grained stability analysis, and (c) the parametrization of the semi-local invariant stable and unstable manifolds by the numerical solution of the homological/functional equations for the coefficients of the truncated series approximation of the manifolds." @default.
• W2971761142 created "2019-09-12" @default.
• W2971761142 creator A5060704711 @default.
• W2971761142 creator A5090389995 @default.
• W2971761142 date "2019-09-07" @default.
• W2971761142 modified "2023-09-23" @default.
• W2971761142 title "A Numerical Method for the Parametrization of Stable and Unstable Manifolds of Microscopic Simulators" @default.
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• W2971761142 hasPublicationYear "2019" @default.
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