Automatic differentiation with the asymptotic method of numerical type: the diamond approach

DOI10.1016/j.crme.2007.11.022zbMath1173.65322OpenAlexW2174364172WikidataQ105651806 ScholiaQ105651806MaRDI QIDQ1033151

Michel Potier-Ferry, Isabelle Charpentier

Publication date: 6 November 2009

Published in: Comptes Rendus. Mécanique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crme.2007.11.022

zbMATH Keywords

automatic differentiationcomputer sciencecontinuationANM

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10)

Related Items (10)

On higher-order differentiation in nonlinear mechanics ⋮ Optimized higher-order automatic differentiation for the Faddeeva function ⋮ Automatic solver for non-linear partial differential equations with implicit local laws: Application to unilateral contact ⋮ Solving hyperelastic material problems by asymptotic numerical method ⋮ A generic approach for the solution of nonlinear residual equations. I: The Diamant toolbox ⋮ A generic approach for the solution of nonlinear residual equations. II: Homotopy and complex nonlinear eigenvalue method ⋮ A generic approach for the solution of nonlinear residual equations. III: Sensitivity computations ⋮ Simulation of instabilities in thin nanostructures by a perturbation approach ⋮ Sensitivity computations in higher order continuation methods ⋮ High order continuation algorithm and meshless procedures to solve nonlinear Poisson problems

Uses Software

• ADOL-C

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