Approximation of solution curves of undetermined systems of nonlinear equations

DOI10.1007/BF02684413zbMath0890.65051OpenAlexW1994543038MaRDI QIDQ1377267

Rolf Neubert

Publication date: 6 July 1998

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02684413

zbMATH Keywords

Picard iterationfunctional predictor-corrector principlespline collocation continuationunderdeterminated system of nonlinear equations

Mathematics Subject Classification ID

Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Numerical solution of nonlinear eigenvalue and eigenvector problems (65H17)

Related Items (1)

Parametric mixed-integer 0-1 linear programming: The general case for a single parameter

Cites Work

• Numerical computation of periodic orbits that bifurcate from stationary solutions of ordinary differential equations
• A practical guide to splines
• Practical bifurcation and stability analysis: from equilibrium to chaos.
• A locally parameterized continuation process
• The solution of nonlinear ordinary differential equations in Chebyshev series
• Error Analysis for Spline Collocation Methods with Application to Knot Selection
• A Collocation Solver for Mixed Order Systems of Boundary Value Problems
• Collocation at Gaussian Points
• On the Solution of Block-Tridiagonal Systems Arising from Certain Finite-Difference Equations
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