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).
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© 1994 Springer-Verlag Wien
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Rand, R.H. (1994). Perturbation Methods and Computer Algebra in Mechanics. In: Kreuzer, E. (eds) Computerized Symbolic Manipulation in Mechanics. CISM International Centre for Mechanical Sciences, vol 343. Springer, Vienna. https://doi.org/10.1007/978-3-7091-3010-0_4
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DOI: https://doi.org/10.1007/978-3-7091-3010-0_4
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-82616-4
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