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Georg, Kurt

On tracing an implicity defined curve by quasi-Newton steps and calculating bifurcation by local perturbations. (English) Zbl 0463.65034

SIAM J. Sci. Stat. Comput. 2, 35-50 (1981).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0463.65034

Cited in 1 Review
Cited in 20 Documents

MSC:

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

Keywords:

periodic solutions of a differential delay equation; curve tracing; homotopy method; continuation method; quasi Newton update; bifurcation; predictor-corrector scheme; mild singularities; Sard’s lemma; regularization
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