Publication: On higher-order differentiation in nonlinear mechanics
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On higher-order differentiation in nonlinear mechanics

- Article in a journal -
 

Author(s)
I. Charpentier

Published in
Optimization Methods and Software

Year
2012

Abstract
Modelling often involves nonlinear parametric problems and bifurcation analysis. This interdisciplinary paper reviews higher-order numerical methods for the solution of nonlinear problems, and proposes a synthesis of two different conceptual frameworks, namely automatic differentiation and the asymptotic numerical method. Various mechanical problems and references illustrate the presentation.

AD Theory and Techniques
Higher Order

BibTeX
@ARTICLE{
         Charpentier2012Oho,
       author = "Charpentier, I.",
       title = "On higher-order differentiation in nonlinear mechanics",
       journal = "Optimization Methods and Software",
       volume = "27",
       number = "2",
       pages = "221--232",
       year = "2012",
       doi = "10.1080/10556788.2011.577775",
       url = " http://www.tandfonline.com/doi/abs/10.1080/10556788.2011.577775",
       eprint = " http://www.tandfonline.com/doi/pdf/10.1080/10556788.2011.577775",
       abstract = "Modelling often involves nonlinear parametric problems and bifurcation analysis.
         This interdisciplinary paper reviews higher-order numerical methods for the solution of nonlinear
         problems, and proposes a synthesis of two different conceptual frameworks, namely automatic
         differentiation and the asymptotic numerical method. Various mechanical problems and references
         illustrate the presentation.",
       ad_theotech = "Higher Order"
}


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