On higher-order differentiation in nonlinear mechanics

被引：16
作者：
Charpentier, I. [1 ]
机构：
[1] CNRS, UMR 7554, Lab Etud Microstruct & Mecan Mat, F-57045 Metz 1, France
来源：
OPTIMIZATION METHODS & SOFTWARE | 2012年 / 27卷 / 02期
关键词：
nonlinear problems; bifurcation analysis; Taylor series; asymptotic methods; automatic differentiation; Diamant; ASYMPTOTIC-NUMERICAL-METHOD; GLOBALLY CONVERGENT; AUTOMATIC DIFFERENTIATION; DERIVATIVE TENSORS; HOMOTOPY METHODS; GENERIC APPROACH; TAYLOR-SERIES; ALGORITHM; SENSITIVITY; VIBRATIONS;
D O I：
10.1080/10556788.2011.577775
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
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.
引用
收藏
页码：221 / 232
页数：12
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