Numerical Computation of Cusp Singularities for Operator Equations

DOI10.1080/1726037X.2004.10698480zbMath1069.65057MaRDI QIDQ4665604

Basem S. Attili

Publication date: 11 April 2005

Published in: Journal of Dynamical Systems and Geometric Theories (Search for Journal in Brave)

zbMATH Keywords

numerical examplessingularityaugmented systemscusp pointsNewton like methodscubic turning points

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Numerical bifurcation problems (65P30) Numerical solution of nonlinear eigenvalue and eigenvector problems (65H17)

Related Items (2)

Superconvergence and the computation of generalized turning points for B.V.P's ⋮ A direct method for the numerical computation of bifurcation points underlying symmetries

Cites Work

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• Computation of cusp singularities for operator equations and their discretizations
• Numerical computational of branch points in nonlinear equations
• A note on bifurcation points for index-1 differential-algebraic problems
• Characterization and Computation of Generalized Turning Points
• Non-simple Turning Points and Cusps
• Folds in Solutions of Two Parameter Systems and Their Calculation. Part I
• A Qualitative Study of the Steady-State Solutions for a Continuous Flow Stirred Tank Chemical Reactor
• The Calculation of Turning Points of Nonlinear Equations
• A Direct Method for Computing Higher Order Folds
• Efficient finite differences for parameter-dependent singularities in two-point boundary value problems

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