Efficient approximation of implicitly defined functions: general theorems and classical benchmark studies

DOI10.1016/j.jat.2006.07.005zbMath1122.34011OpenAlexW2090819092MaRDI QIDQ871998

Joseph W. Jerome, Anders Linnér

Publication date: 27 March 2007

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2006.07.005

zbMATH Keywords

interpolationdiscretizationiterationGreen's functionapproximation theoryelasticacontraction mapping theoremNewton-Kantorovich theorempendulum equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Interpolation in approximation theory (41A05) Spline approximation (41A15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Software, source code, etc. for problems pertaining to approximations and expansions (41-04)

Cites Work

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• Optimal Error Bounds for the Newton–Kantorovich Theorem
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• A practical guide to splines.
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