Sep 25, 2018  
Graduate Record 2016-2017 
    
Graduate Record 2016-2017 [ARCHIVED RECORD]

APMA 6370 - Singular Perturbation Theory


Analyses of 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; and steepest descents. Examples are drawn from physical systems. Cross-listed as MAE 6370. Prerequisite: Familiarity with complex analysis.



Credits: 3