The convergence of shooting methods for singular boundary value problems

DOI10.1090/S0025-5718-01-01407-7zbMath1013.65081OpenAlexW2032937122MaRDI QIDQ4780373

Othmar Koch, Ewa B. Weinmüller

Publication date: 19 November 2002

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-01-01407-7

zbMATH Keywords

convergencenumerical experimentsNewton iterationsingular boundary value problemsshooting methods

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (14)

A numerical study for multiple solutions of a singular boundary value problem arising from laminar flow in a porous pipe with moving wall ⋮ On numerical methods to second-order singular initial value problems with additive white noise ⋮ Highly accurate method for solving singular boundary-value problems via Padé approximation and two-step quartic B-spline collocation ⋮ An SQP-based multiple shooting algorithm for large-scale PDE-constrained optimal control problems ⋮ Lanczos-Chebyshev pseudospectral methods for wave-propagation problems ⋮ Collocation methods for index 1 DAEs with a singularity of the first kind ⋮ Application of smart collocation method for solving strongly nonlinear boundary value ordinary differential equations ⋮ Piecewise quasilinearization techniques for singular boundary-value problems ⋮ Efficient mesh selection for collocation methods applied to singular BVPs ⋮ The adapted block boundary value methods for singular initial value problems ⋮ Boundary-Value Problems for Differential-Algebraic Equations: A Survey ⋮ Numerical solution of singular boundary value problems with logarithmic singularities by Padé approximation and collocation methods ⋮ Statistics for Model Calibration ⋮ Boson star from repulsive light scalars and gravitational waves

Uses Software

• RWPM
• avalanche.f

Cites Work

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