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Analysis of a Renormalization Group Method for Solving Perturbed Ordinary Differential Equations

R. E. Lee DeVille, Anthony Harkin, Matt Holzer, Kresimir Josic, and Tasso Kaper

We discuss the extension of the normal form method to nonautonomous singularly perturbed systems. We show how to extend the method to higher order, and how these results relate to the renormalization group method of Chen, Goldenfeld and Oono.

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