The initial-value adjusting method for problems of the least squares type of ordinary differential equations

DOI10.2977/prims/1195186930zbMath0455.65066OpenAlexW2045175495MaRDI QIDQ1150260

Taketomo Mitsui

Publication date: 1980

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195186930

zbMATH Keywords

numerical exampleconvergence theoremsinitial-value adjusting methodproblems of least squares type

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Chemical kinetics in thermodynamics and heat transfer (80A30) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (3)

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 ⋮ Hybrid manipulations for the solution of systems of nonlinear algebraic equations ⋮ Stationary and nonstationary iterative methods for nonlinear boundary value problems

Cites Work

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• On the convergence of the initial-value adjusting method for nonlinear boundary value problems
• Initial-value adjusting method for the solution of nonlinear multipoint boundary-value problems
• Quasilinearization and invariant imbedding. With applications to chemical engineering and adaptive control
• Convergence theorems for parameter estimation by quasilinearization
• ON THE NEWTON METHOD TO SOLVE PROBLEMS OF THE LEAST SQUARES TYPE FOR ORDINARY DIFFERENTIAL EQUATIONS

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