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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.AP2022
Energy asymptotics for the strongly damped Klein-Gordon equation
Haidar Mohamad
We consider the strongly damped Klein Gordon equation for defocusing nonlinearity and we study the asymptotic behaviour of the energy for periodic solutions. We prove first the exp…