A generic and efficient Taylor series–based continuation method using a quadratic recast of smooth nonlinear systems

Towards a full higher order AD-based continuation and bifurcation framework

(2018) Isabelle Charpentier et al.   OPTIMIZATION METHODS & SOFTWARE

Continuation of quasi-periodic solutions with two-frequency Harmonic Balance Method

(2017) Louis Guillot et al.   JOURNAL OF SOUND AND VIBRATION

Regularized friction and continuation: Comparison with Coulomb's law

(2017) Pierre Vigué et al.   JOURNAL OF SOUND AND VIBRATION

Hardening/softening behavior and reduced order modeling of nonlinear vibrations of rotating cantilever beams

(2016) O. Thomas et al.   NONLINEAR DYNAMICS

Instabilities in thin films on hyperelastic substrates by 3D finite elements

(2015) Fan Xu et al.   INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

High performance computations of steady-state bifurcations in 3D incompressible fluid flows by Asymptotic Numerical Method

(2015) Marc Medale et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Power series analysis as a major breakthrough to improve the efficiency of Asymptotic Numerical Method in the vicinity of bifurcations

(2012) Bruno Cochelin et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A high-order, purely frequency based harmonic balance formulation for continuation of periodic solutions: The case of non-polynomial nonlinearities

(2012) Sami Karkar et al.   JOURNAL OF SOUND AND VIBRATION

Taylor series to solve friction problems

(2010) Fabien Béchet et al.   COMPTES RENDUS MECANIQUE

A multilevel computational strategy for handling microscopic and macroscopic instabilities

(2009) S. Nezamabadi et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A high order purely frequency-based harmonic balance formulation for continuation of periodic solutions

(2009) Bruno Cochelin et al.   JOURNAL OF SOUND AND VIBRATION

Différentiation automatique de la méthode asymptotique numérique typée : l'approche Diamant

(2008) Isabelle Charpentier et al.   COMPTES RENDUS MECANIQUE