Perturbation Series

Carl M. Bender and Steven A. Orszag
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Carl M. Bender: Washington University, Department of Physics
Steven A. Orszag: Yale University, Department of Mathematics

Chapter Chapter Seven in Advanced Mathematical Methods for Scientists and Engineers I, 1999, pp 319-367 from Springer

Abstract: Abstract Perturbation theory is a large collection of iterative methods for obtaining approximate solutions to problems involving a small parameter ε. These methods are so powerful that sometimes it is actually advisable to introduce a parameter e temporarily into a difficult problem having no small parameter, and then finally to set ε = 1 to recover the original problem. This apparently artificial conversion to a perturbation problem may be the only way to make progress.

Keywords: Branch Point; Perturbation Method; Perturbation Series; Singular Perturbation Problem; Matched Asymptotic Expansion (search for similar items in EconPapers)
Date: 1999
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DOI: 10.1007/978-1-4757-3069-2_7

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