Asymptotic Methods II. 3 credits, 3 contact hours

Catalog description

Prerequisite: MATH 671 . Continuation of MATH 671 . Asymptotic methods for the solution of PDEs, including: matched asymptotic expansions, multiple scales, the WKB method or geometrical optics, and near-field far-field expansions. Applications to elliptic, parabolic, and hyperbolic problems. Further topics in the asymptotic expansion of integrals and the WKB method. Emphasis on examples drawn from applications in science and engineering.