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Perturbation Methods and Computer Algebra in Mechanics

  • R. H. Rand
Part of the CISM International Centre for Mechanical Sciences book series (CISM, volume 343)

Abstract

Perturbation methods are a collection of diverse schemes for obtaining approximate analytic solutions to problems which involve a small parameter ϵ, usually in the form of a power series in ϵ In these notes we will discuss computer algebra treatments of regular perturbations (section 2), and of three singular perturbation methods (composite expansions, section 4, averaging, section 5 and two variable expansion method, section 8).

Keywords

Hopf Bifurcation Perturbation Method Computer Algebra Transition Curve Jacobian Elliptic Function 
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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Copyright information

© Springer-Verlag Wien 1994

Authors and Affiliations

  • R. H. Rand
    • 1
  1. 1.Cornell UniversityIthacaUSA

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