Modified deflation algorithm for the solution of singular problems. II: Nonlinear multipoint boundary value problems

DOI10.1016/0022-247X(87)90305-2zbMath0625.65078MaRDI QIDQ579867

Takeo Ojika

Publication date: 1987

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

convergencenumerical examplessingular solutioneffectivenessmodified deflation algorithmnonlinear multipoint boundary-value problemssingular root of nonlinear algebraic equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (4)

A numerical method for branch points of a system of nonlinear algebraic equations ⋮ Modified deflation algorithm for the solution of singular problems. I. A system of nonlinear algebraic equations ⋮ Newton's method with deflation for isolated singularities of polynomial systems ⋮ Nearest multivariate system with given root multiplicities

Uses Software

• REDUCE

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Modified deflation algorithm for the solution of singular problems. I. A system of nonlinear algebraic equations
• Deflation algorithm for the multiple roots of a system of nonlinear equations
• Codes for boundary-value problems in ordinary differential equations. Proceedings of a working conference, May 14-17, 1978
• Hybrid manipulations for the solution of systems of nonlinear algebraic equations
• Initial-value methods for discrete boundary value problems
• On the quadratic convergence properties of the epsilon-secant method for the solution of a system of nonlinear equations and its application to a chemical reaction problem
• Enlarging the domain of convergence for multiple shooting by the homotopy method
• Multipoint boundary value problems with discontinuities. I. Algorithms and applications
• Multipoint boundary value problems with discontinuities. II. Convergence of the initial value adjusting method
• On quadratic convergence of the initial value adjusting method for nonlinear multipoint boundary value problems
• The scaling method for free interface problems in ordinary differential equations
• Initial value adjusting method and graph theoretical analysis for the solution of nonlinear multipoint boundary value problems with varying system dimensions
• Comparing routines for the numerical solution of initial value problems of ordinary differential equations in multiple shooting
• The numerical solution of unstable two point boundary value problems
• Convergence of the Newton process to multiple solutions
• On shooting methods for boundary value problems
• Solution of Troesch's two-point boundary value problem by a combination of techniques
• Analysis of Newton’s Method at Irregular Singularities
• Convergence Rates for Newton’s Method at Singular Points
• Reformulation of Boundary Value Problems into “Standard” Form
• On Newton’s Method for Singular Problems

This page was built for publication: Modified deflation algorithm for the solution of singular problems. II: Nonlinear multipoint boundary value problems