On Convergence of the Projective Integration Method for Stiff Ordinary Differential Equations
نویسندگان
چکیده
Abstract. We present a convergence proof of the projective integration method for a class of deterministic multi-dimensional multi-scale systems which are amenable to center manifold theory. The error is shown to contain contributions associated with the numerical accuracy of the microsolver, the numerical accuracy of the macrosolver and the distance from the center manifold caused by the combined effect of microand macrosolvers, respectively. We corroborate our results by numerical simulations.
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تاریخ انتشار 2013