Multiple-Scale Analysis

  • Carl M. Bender
  • Steven A. Orszag


Multiple-scale analysis is a very general collection of perturbation techniques that embodies the ideas of both boundary-layer theory and WKB theory. Multiple-scale analysis is particularly useful for constructing uniformly valid approximations to solutions of perturbation problems.


Versus Versus Versus Stability Boundary Versus Versus Versus Versus Perturbation Expansion Perturbation Series 
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  1. 41.
    See Refs. 29, 36, 39, and: Eckhaus, W., Studies in Nonlinear Stability Theory, Springer-Verlag, New York, 1965.CrossRefGoogle Scholar
  2. 42.
    Stoker, J. J., Nonlinear Vibrations, Interscience Publishers, New York, 1950.zbMATHGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1999

Authors and Affiliations

  • Carl M. Bender
    • 1
  • Steven A. Orszag
    • 2
  1. 1.Department of PhysicsWashington UniversitySt. LouisUSA
  2. 2.Department of MathematicsYale UniversityNew HavenUSA

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