MAT1507H: Asymptotic and Perturbation Methods

Local Methods Classification of regular/ singular points of linear ODEs Approximate solutions near regular, regular-singular irregular singular points, irregular point at infinity Asymptotic series. Some examples of nonlinear differential equations.

Asymptotic expansion of integrals Laplace method Method of stationary phase Steepest descent Perturbation methods Regular and singular perturbation theory.

Global Analysis Boundary layer theory WKB theory: Formal expansion, conditions for validity, geometrical optics Multiple scale analysis for ODEs: Resonance and secular behavior, damped oscillator Multiple scale analysis for PDEs.

Credit Value (FCE)

0.50

Jointly Offered with Course(s)

APM441H1

Campus(es)

St. George

School of Graduate Studies University of Toronto 63 St. George Street Toronto, ON Canada M5S 2Z9
Tel: 416-978-6614

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