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Graduate Record 2006-2007 [ARCHIVED RECORD]
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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. Cross-listed with APMA 637. (IR)
Prerequisites & Notes
Prerequisite: Familiarity with complex analysis.
Credits: 3
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