We present the set of bifurcation tracking algorithms which have been developed in the
LOCA software library to work with large scale application codes that use fully coupled …

We use nonlinear signal processing techniques, based on artificial neural networks, to
construct an empirical mapping from experimental Rayleigh-Bénard convection data in the …

The objectives and some basic methods of numerical bifurcation analysis are described.
Several computational examples are used to illustrate the power as well as the limitations of …

The problem H(y)=H(x,λ)=θ, where H:R^n+1→R^n is considered. Numerical techniques for
locating bifurcation points ̄y and for following arcs leading from ̄y are presented. These …

We report on the numerical computation of Solution branches (u, λ)∈ ℝ n× ℝ of large finite
dimensional nonlinear systems 1 A u= F (u, λ), F∈ C 2 (ℝ n× ℝ, ℝ n) A, F usymmetric, A …

Stochastic bifurcations and stability of natural convection within two-dimensional square
enclosures are investigated by different stochastic modelling approaches. Deterministic …

The performance of predictor-solver continuation methods near bifurcation points is
considered. A general theory is developed for the convergence of two commonly used …

A collection of methods is presented to adapt a pre-existing timestepping code to perform
various bifurcation-theoretic tasks. It is shown that the implicit linear step of a time-stepping …

We provide an overview of current techniques and typical applications of numerical
bifurcation analysis in fluid dynamical problems. Many of these problems are characterized …

In bifurcation theory it is often necessary to compute eigenvalues of large, sparse,
nonsymmetric eigenvalue problems. The eigenvalues of importance are those with smallest …