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math.DS2022
Quasi-convergence of an implementation of optimal balance by backward-forward nudging
G. Tuba Masur, Haidar Mohamad, Marcel Oliver
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…
math.DS2017
Optimal balance via adiabatic invariance of approximate slow manifolds
Georg A. Gottwald, Haidar Mohamad, Marcel Oliver
We analyze the method of optimal balance which was introduced by Viudez and Dritschel (J. Fluid Mech. 521, 2004, pp. 343-352) to provide balanced initializations for two-dimensiona…