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Erschienen in:
2006 | OriginalPaper | Buchkapitel
Coarse-Grained Simulation and Bifurcation Analysis Using Microscopic Time-Steppers
verfasst von : P. Van Leemput, G. Samaey, K. Lust, D. Roose, I.G. Kevrekidis
Erschienen in: Progress in Industrial Mathematics at ECMI 2004
Verlag: Springer Berlin Heidelberg
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In many science and engineering problems, one observes smooth behaviour on macroscopic space and time scales. However, sometimes only a microscopic evolution law is known. In such cases, one can approximate the macroscopic time evolution by performing appropriately initialized simulations of the available microscopic model in small portions of the space-time domain. This coarse-grained time-stepper can be used to perform time-stepper based numerical bifurcation analysis. We discuss our recent results concerning the accuracy of the proposed methods.