Numerical computation of branch points in ordinary differential equations

DOI10.1007/BF01397649zbMath0584.65054OpenAlexW2140758684MaRDI QIDQ5903002

Rüdiger U. Seydel

Publication date: 1979

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132592

zbMATH Keywords

bifurcationnonlinear eigenvalue problembranch pointscontinuation methods

Mathematics Subject Classification ID

Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Ordinary differential operators (34L99)

Related Items (9)

The approximation of generalized turning points by projection methods with superconvergence to the critical parameter ⋮ A study on the approximation power of NURBS and the significance of exact geometry in isogeometric pre-buckling analyses of shells ⋮ A method for the numerical computation of Hopf bifurcation ⋮ Optimization of Hopf Bifurcation Points ⋮ Numerical computation of periodic orbits that bifurcate from stationary solutions of ordinary differential equations ⋮ Numerical computational of branch points in nonlinear equations ⋮ Numerical computation of nonsimple turning points and cusps ⋮ New algorithms for the evaluation of complex bifurcation points in ordinary differential equations. A comparative numerical study ⋮ An automatic procedure for the calculation of bifurcation points of integral equations

Cites Work

• Unnamed Item
• A modified Newton method for the solution of ill-conditioned systems of nonlinear equations with application to multiple shooting
• Numerical solution of bifurcation problems for ordinary differential equations
• Numerical treatment of ordinary differential equations by extrapolation methods
• Eigenfunction branches of nonlinear operators, and their bifurcations
• Die Stabilität elliptischer Zylinderschalen bei reiner Biegung

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