In this program
- Regular perturbation expansions for algebraic equations
- Singular perturbations
- Boundary layers (introduction)
- Poincaré–Lindstedt method for weakly nonlinear oscillations
- Multiple scales (overview at undergraduate level)
- Asymptotic matching (introduction)
Perturbation and asymptotic methods
Poincaré–Lindstedt method for weakly nonlinear oscillations
Methods of applied mathematics · Standard syllabus
Topic
Poincaré–Lindstedt method for weakly nonlinear oscillations
Undergraduate Methods of Applied Mathematics — scope drawn from open applied methods notes and typical US applied mathematics methods syllabi.