April 19, 2014

Numerical and Computational Challenges in Science and Engineering Program

November 9, 10am, Room 210

Bob O'Malley
Department of Applied Mathematics, University of Washington
(Visiting the Fields Institute)

A Renormalization Method to Asymptotically Solve Weakly Nonlinear Systems of ODEs for Long Times

Regularly perturbed systems of ODEs have been traditionally solved using two-timing or averaging methods. The new renormalization technique, based on preliminary efforts of theoretical physicists, often allows asymptotic solutions to be constructed on very long time intervals.

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