Computing eigenfunctions of singular points in nonlinear parametrized two-point BVPs

DOI10.1016/j.apnum.2008.03.010zbMath1165.65045OpenAlexW2030295163MaRDI QIDQ1007388

Th. Milde, Martin Hermann

Publication date: 20 March 2009

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2008.03.010

zbMATH Keywords

singular pointsnumerical experimentstwo-point boundary value problemturning pointseigenfunctionbifurcation pointspath-followinggood starting values

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items

Stable Running with Asymmetric Legs: A Bifurcation Approach

Uses Software

• RWPKV
• RWPM

Cites Work

• Numerical methods in bifurcation problems. Lectures delivered at the Indian Institute of Science, Bangalore, under the T.I.F.R.-I.I.Sc. Programme in Applications of Mathematics. Notes by A. K. Nandakumaran and Mythily Ramaswamy
• RWPKV: A software package for continuation and bifurcation problems in two-point boundary value problems
• Numerical Methods for Bifurcations of Dynamical Equilibria
• Numerik gewöhnlicher Differentialgleichungen
• Shooting Methods for Two‐Point BVPs with Partially Separated Endconditions
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