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Multiple-Scale Analysis

  • Carl M. Bender
  • Steven A. Orszag
Chapter

Abstract

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.

Keywords

Versus Versus Versus Stability Boundary Versus Versus Versus Versus Perturbation Expansion Perturbation Series 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  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.MATHGoogle 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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