MATRIX-FREE NUMERICAL CONTINUATION AND BIFURCATION*

DOI10.1081/NFA-100105106zbMath0998.65055OpenAlexW2082851966MaRDI QIDQ2769531

Kurt Georg

Publication date: 15 November 2002

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/nfa-100105106

zbMATH Keywords

iterative methodnumerical continuationHopf bifurcation pointsmatrix-free algorithmsswitching branchesnumerical bifurcationpredictor-corrector continuation algorithm

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Computational methods for bifurcation problems in dynamical systems (37M20) Numerical bifurcation problems (65P30)

Related Items (7)

Matrix-free preconditioning using partial matrix estimation ⋮ Finding special points using matrix-free predictor-corrector methods ⋮ A method of piecewise‐smooth numerical branching ⋮ Performance of acceleration techniques for staggered phase-field solutions ⋮ Conjugate gradient predictor corrector method for solving large scale problems ⋮ The concertina pattern. From micromagnetics to domain theory ⋮ Bifurcations in piecewise-smooth steady-state problems: abstract study and application to plane contact problems with friction

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