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Analysis of the accuracy and convergence of equation-free projection to a slow manifold

Antonios ZagarisC. William GearTasso J. KaperYannis G. Kevrekidis — 2009

ESAIM: Mathematical Modelling and Numerical Analysis

In [C.W. Gear, T.J. Kaper, I.G. Kevrekidis and A. Zagaris,   (2005) 711–732], we developed a class of iterative algorithms within the context of equation-free methods to approximate low-dimensional, attracting, slow manifolds in systems of differential equations with multiple time scales. For user-specified values of a finite number of the observables, the th member of the class of algorithms ( m = 0 , 1 , ... ) finds iteratively an approximation of the appropriate zero of the st time derivative of the remaining...

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