Chord techniques and Newton's method for discrete bifurcation problems

DOI10.1007/BF01396054zbMath0424.65022MaRDI QIDQ1135086

Erich Bohl

Publication date: 1980

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

Full work available at URL: https://eudml.org/doc/132663

zbMATH Keywords

Newton's methodchord methodsconstructing appropriate initial approximationsdiscrete bifurcation problems

Mathematics Subject Classification ID

Numerical solution of nonlinear eigenvalue and eigenvector problems (65H17) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Ordinary differential operators (34L99)

Related Items (3)

Chord techniques and Newton's method for discrete bifurcation problems ⋮ Iterative inclusions of solutions of nonlinear differential equations by Newton-like iteration methods ⋮ On the numerical solution of some finite-dimensional bifurcation problems

Cites Work

• Inverse monotonicity and difference schemes of higher order. A summary for two-point boundary value problems
• Chord techniques and Newton's method for discrete bifurcation problems
• Supersolutions, monotone iterations, and stability
• Zur Stabilität von Differenzenverfahren für Systeme linearer gewöhnlicher Randwertaufgaben
• Elliptic boundary value problems suggested by nonlinear diffusion processes
• The Exact Order of Convergence for Finite Difference Approximations to Ordinary Boundary Value Problems
• Erzeugung globaler Konvergenz bei regulären Zerlegungen von nichtlinearen Abbildungen
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