On Tracing an Implicitly Defined Curve by Quasi-Newton Steps and Calculating Bifurcation by Local Perturbations

DOI10.1137/0902004zbMath0463.65034OpenAlexW1980047986MaRDI QIDQ3914330

Kurt Georg

Publication date: 1981

Published in: SIAM Journal on Scientific and Statistical Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0902004

zbMATH Keywords

regularizationbifurcationhomotopy methodcontinuation methodpredictor-corrector schemecurve tracingmild singularitiesSard's lemmaperiodic solutions of a differential delay equationquasi Newton update

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Iterative procedures involving nonlinear operators (47J25) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Boundary value problems for functional-differential equations (34K10) Numerical solution of nonlinear eigenvalue and eigenvector problems (65H17)

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