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Applied and Computational Math Seminar

Rigorous Multi-parameter Continuation of Solutions of Differential Equations 

Marcio Gameiro, University of Sao Paulo at Sao Carlos, Brazil 

Location:  HILL 423
Date & time: Friday, 03 November 2017 at 12:00PM - 1:00PM

Abstract: We present a rigorous multi-parameter continuation method to compute solutions of differential equations depending on parameters. The method combines classical numerical methods, analytic estimates and the uniform contraction principle to prove the existence of solutions of nonlinear differential equations. The method is applied to the computation of equilibria for the Cahn-Hilliard equation and periodic solutions of the Kuramoto-Sivashinsky equation.

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