# Approximation of slow and fast dynamics in multiscale dynamical systems by the linearized Relaxation Redistribution Method

@article{Chiavazzo2012ApproximationOS, title={Approximation of slow and fast dynamics in multiscale dynamical systems by the linearized Relaxation Redistribution Method}, author={Eliodoro Chiavazzo}, journal={J. Comput. Phys.}, year={2012}, volume={231}, pages={1751-1765} }

In this paper, we introduce a fictitious dynamics for describing the only fast relaxation of a stiff ordinary differential equation (ODE) system towards a stable low-dimensional invariant manifold in the phase-space (slow invariant manifold - SIM). As a result, the demanding problem of constructing SIM of any dimensions is recast into the remarkably simpler task of solving a properly devised ODE system by stiff numerical schemes available in the literature. In the same spirit, a set of… Expand

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