Perturbation Methods

MATH-6620

This course is devoted to advanced methods rather than theory. Content includes such topics as matched asymptotic expansions, multiple scales, WKB, and homogenization. Applications are made to ODEs, PDEs, difference equations, and integral equations. The methods are illustrated using currently interesting scientific and engineering problems that involve such phenomena as boundary or shock layers, nonlinear wave propagation, bifurcation and stability, and resonance.

4 credits

Past Term Data

Offered
Not Offered
Offered as Cross-Listing Only
No Term Data
Spring Summer Fall
(Session 1) (Session 2)
2023
2022
Perturbation Methods (4c)
  • Ashwani Kumar Kapila
Seats Taken: 6/20
2021
2020
Perturbation Methods (4c)
  • Ashwani Kumar Kapila
Seats Taken: 19/40
2019
2018
Perturbation Methods (4c)
  • Ashwani Kumar Kapila
Seats Taken: 10/30
2017
2016
Perturbation Methods (4c)
  • Ashwani Kumar Kapila
Seats Taken: 22/30
2015
2014
Perturbation Methods (4c)
  • Ashwani Kumar Kapila
Seats Taken: 15/30
2013
2012
Perturbation Methods (4c)
  • Mark H Holmes
Seats Taken: 30/30
2011
2010
Perturbation Methods (4c)
  • Peter R Kramer
Seats Taken: 20/30
2009
2008
Perturbation Methods (4c)
  • Michael R. Foster
Seats Taken: 15/30
2007
2006
Perturbation Methods (4c)
  • Christopher Wahle
Seats Taken: 18/30
2005
2004
Perturbation Methods (4c)
  • Christopher Wahle
Seats Taken: 11/30
2003
2002
Perturbation Methods (4c)
  • Ashwani Kumar Kapila
Seats Taken: 7/30
2001
2000
Perturbation Methods (4c)
  • Ashwani Kumar Kapila
Seats Taken: 8/30
1999
1998