Asymptotic analysis of integrals: Laplace, stationary phase, and steepest descent methods. Regular and singular perturbations: trained coordinates, multiple scales, asymptotic matching, renormalization techniques, WKB theory, Hamiltonian perturbation theory, center manifolds and stability. Singularities in differential equations. Applications to algebraic, ordinary and partial differential equations. Prerequisite: MATH 438 or equivalent.
Section | Capacity | Class times | Instructor(s) |
---|---|---|---|
LECTURE Q1
(17983) |
30 |
2024-01-08 - 2024-04-12 (TR)
11:00 - 12:20
CAB 657
|
Primary Instructor: Xinwei Yu
|