Validating a 2-mode asymptotic expansion in computational bifurcation theory (Before introducing HDN for differential operation)

Validating a 2-mode asymptotic expansion in computational bifurcation theory (Before introducing HDN for differential operation)

For error-free computation of high-derivatives of mathematical functions used in engineering applications, hyper-dual numbers (HDN) are receiving much attention in computational mechanics. Differently from classical finite differences, HDN provides a practically exact evaluation of higher-derivative...

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Bibliographic Details
Main Authors: Fumio FUJII, Kiyohiro IKEDA, Masato TANAKA, Masaki FUJIKAWA
Format: Article
Language:Japanese
Published: The Japan Society of Mechanical Engineers 2015-09-01
Series:Nihon Kikai Gakkai ronbunshu
Subjects:
asymptotic theory
hdn
singularity
limit point
asymmetric and symmetric bifurcation points
Online Access:https://www.jstage.jst.go.jp/article/transjsme/81/830/81_15-00419/_pdf/-char/en

Internet

https://www.jstage.jst.go.jp/article/transjsme/81/830/81_15-00419/_pdf/-char/en

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