Towards a full higher order AD-based continuation and bifurcation framework
From MaRDI portal
Publication:4685590
DOI10.1080/10556788.2018.1428604zbMath1453.65439OpenAlexW2790572095WikidataQ105651618 ScholiaQ105651618MaRDI QIDQ4685590
Isabelle Charpentier, Bruno Cochelin
Publication date: 9 October 2018
Published in: Optimization Methods and Software (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10556788.2018.1428604
continuation methodbifurcation analysisgeometric seriesdiamantnonlinear parametric problemshigher order automatic differentiation
Related Items
Arbogast: Higher order automatic differentiation for special functions with Modular C ⋮ A Taylor series-based continuation method for solutions of dynamical systems ⋮ Continuation of periodic solutions of various types of delay differential equations using asymptotic numerical method and harmonic balance method
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A generic approach for the solution of nonlinear residual equations. II: Homotopy and complex nonlinear eigenvalue method
- Iterative computations with ordered read-write locks
- Singularities and groups in bifurcation theory. Volume I
- Numerical methods in bifurcation problems. Lectures delivered at the Indian Institute of Science, Bangalore, under the T.I.F.R.-I.I.Sc. Programme in Applications of Mathematics. Notes by A. K. Nandakumaran and Mythily Ramaswamy
- Singularities and groups in bifurcation theory. Volume II
- Numerical computational of branch points in nonlinear equations
- Numerical computation of normal form coefficients of bifurcations of ODEs in \textsc{Matlab}
- Sensitivity computations in higher order continuation methods
- Checkpointing Schemes for Adjoint Codes: Application to the Meteorological Model Meso-NH
- On higher-order differentiation in nonlinear mechanics
- A path-following technique via an asymptotic-numerical method
- New features of the software M<scp>at</scp>C<scp>ont</scp>for bifurcation analysis of dynamical systems
- ANALYSIS AND IMPROVEMENT OF PERTURBATION SERIES
- NUMERICAL ANALYSIS AND CONTROL OF BIFURCATION PROBLEMS (I): BIFURCATION IN FINITE DIMENSIONS
- Algorithm 799: revolve
- Computing Periodic Orbits and their Bifurcations with Automatic Differentiation
- Arbogast: Higher order automatic differentiation for special functions with Modular C