Evaluation of limit and bifurcation points for algebraic equations and nonlinear boundary-value problems

DOI10.1016/0096-3003(79)90017-1zbMath0411.65027OpenAlexW2055995675WikidataQ127364237 ScholiaQ127364237MaRDI QIDQ1259405

Milos Marek, Milan Kubiček

Publication date: 1979

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(79)90017-1

zbMATH Keywords

Newton's methodnumerical examplesboundary value problemsalgebraic equationsbifurcation pointslimit points

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (4)

A numerical method for branch points of a system of nonlinear algebraic equations ⋮ ``Isolas in solution diagrams ⋮ Direction of branches bifurcating at a bifurcation point. Determination of starting points for a continuation algorithm ⋮ Computing simple bifurcation points using a minimally extended system of nonlinear equations

Cites Work

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• Evaluation of branching points for nonlinear boundary-value problems based on the GPM technique
• Algorithm 502: Dependence of Solution of Nonlinear Systems on a Parameter [C5]
• General Parameter Mapping Technique—A Procedure for Solution of Non-linear Boundary Value Problems Depending on an Actual Parameter
• Branching of Solutions of Nonlinear Equations

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