Quasi-convergence of an implementation of optimal balance by backward-forward nudging

@article{Masur2022QuasiconvergenceOA,
  title={Quasi-convergence of an implementation of optimal balance by backward-forward nudging},
  author={Gerhard Masur and Haidar Mohamad and Marcel Oliver},
  journal={ArXiv},
  year={2022},
  volume={abs/2206.13068}
}
. Optimal balance is a non-asymptotic numerical method to compute a point on the slow manifold for certain two-scale dynamical systems. It works by solving a modified version of the system as a boundary value problem in time, where the nonlinear terms are adiabatically ramped up from zero to the fully nonlinear dynamics. A dedicated boundary value solver, however, is often not directly available. The most natural alternative is a nudging solver, where the problem is repeatedly solved forward and… 

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