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ES_APPM 420-1: Asymptotic and Perturbation Methods in Applied Mathematics

Quarter Offered

Fall : TTh 2:10-3:30 ; Volpert

Description

Asymptotic expansions of integrals. Regular and singular perturbation methods for ordinary and partial differential equations. Boundary layer theory. Matched asymptotic expansions. Homogenization. Two-time and uniform expansions. Wave propagation and WKBJ method. Turning point theory. Nonlinear oscillations. Bifurcation and stability theory.

Recommended text: Introduction to Perturbation Methods, by Holmes