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In this program

Regular perturbation theory for algebraic equations
Poincaré–Lindstedt method for periodic solutions
Method of multiple scales for weakly nonlinear oscillators
Averaging methods (Kruskal–Prudnikov / standard forms, introduction)
Renormalization group methods (introduction)

Perturbation series

Regular perturbation theory for algebraic equations

Asymptotic & perturbation methods · Standard syllabus

Topic

Regular perturbation theory for algebraic equations

Practice by unit: Perturbation series

Graduate Asymptotic & Perturbation Methods — scope drawn from open asymptotics notes and typical US graduate asymptotics syllabi.

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