Asymptotic Analysis - M5M7
Aims
Asymptotic series and expansions. Asymptotic expansion of integrals, Laplace method, Watson's lemma, stationary phase and steepest descent. Singular perturbations, matched asymptotic expansions: inner/outer expansions and the matching principle, boundary layers and interior layers. Multiple-scale method, Poincare-Lindstedt method, method of strained coordinate, averaging method, non-linear oscillations. Differential equations with a large parameter - the WKBJ method, turning point problems, caustics.
Role
Lecturer
Asymptotic Analysis - MATH97029
Aims
Asymptotic series and expansions. Asymptotic expansion of integrals, Laplace method, Watson's lemma, stationary phase and steepest descent. Singular perturbations, matched asymptotic expansions: inner/outer expansions and the matching principle, boundary layers and interior layers. Multiple-scale method, Poincare-Lindstedt method, method of strained coordinate, averaging method, non-linear oscillations. Differential equations with a large parameter - the WKBJ method, turning point problems, caustics.
Role
Lecturer