Apr 16, 2024  
Graduate Record 2007-2008 
    
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Graduate Record 2007-2008 [ARCHIVED RECORD]

MAE 637 - Singular Perturbation Theory

Analyzes regular perturbations, roots of polynomials; singular perturbations in ODE’s, periodic solutions of simple nonlinear differential equations; multiple-Scales method; WKBJ approximation; turning-point problems; Langer’s method of uniform approximation; asymptotic behavior of integrals, Laplace Integrals, stationary phase, steepest descents. Examples are drawn from physical systems.  (IR)

Prerequisites & Notes
Prerequisite: Familiarity with complex analysis.

Credits: 3