Introduction to the Foundations of Applied Mathematics pp 49-101 | Cite as

Perturbation Methods

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• Mark H. Holmes

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First Online: 02 October 2019

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Part of the Texts in Applied Mathematics book series (TAM, volume 56)

Abstract

To introduce the ideas underlying perturbation methods and asymptotic approximations, we will begin with an algebraic equation.

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References

1. L.-Q. Chen, H. Ding, Two nonlinear models of a transversely vibrating string. Arch. Appl. Mech. 78 (5), 321–328 (2008). https://doi.org/10.1007/s00419-007-0164-7. ISSN 1432-0681CrossRefGoogle Scholar
2. M.H. Holmes, Introduction to Perturbation Methods. Texts in Applied Mathematics, vol. 20, 2nd edn. (Springer, New York, 2013b)Google Scholar
3. J.P. Steinbrenner, J.P. Abelanet, Anistropic tetrahedral meshing based on surface deformation techniques, in Proceedings of the AIAA 45th Aerospace Sciences Meeting, Reno, NV (2007), p. AIAA–2007–0554Google Scholar

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© Springer Nature Switzerland AG 2019

Authors and Affiliations

• Mark H. Holmes
  • 1

1. 1.Department of Mathematical SciencesRensselaer Polytechnic InstituteTroyUSA