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}
}
  • E. Chiavazzo
  • Published 2012
  • Mathematics, Computer Science, Physics
  • J. Comput. Phys.
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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