IAM 940 (01) - Asymptotic and Perturbation Methods

Asymptotic&Perturbation Methds

Durham   Engineering&Physical Sciences :: Integrated Applied Mathematics
Credits: 3.0
Term: Fall 2022 - Full Term (08/29/2022 - 12/12/2022)
Grade Mode: Letter Grading
Class Size:   12  
CRN: 16121
Introduction to the asymptotic analysis of linear and nonlinear algebraic equations, ODEs, and PDEs and the asymptotic approximation of integrals arising as transform solutions to ODEs/PDEs. Topics include: algebraic equations and dominant balance; asymptotic approximations; complex variable theory and the asymptotic evaluation of integrals via Laplace's method, stationary phase, and steepest descents; the method of matched asymptotic expansions (boundary-layer theory), coordinate straining, multiple scales, averaging, homogenization theory, and WKBJ analysis for singularly perturbed ODEs and PDEs. Prereq: MATH 527, MATH 528, MATH 644 or equivalent. Pre- or Coreq: PHYS 931.
Registration Approval Required. Contact Instructor or Academic Department for permission then register through Webcat.
Instructors: Gregory Chini

Times & Locations

Start Date End Date Days Time Location
8/29/2022 12/12/2022 MW 3:40pm - 5:00pm KING N133