Modeling problems in ordinary differential equations using the initial value adjusting method

DOI10.1016/0022-247X(80)90085-2zbMath0457.65062MaRDI QIDQ1151248

Takeo Ojika, K. Wayne Welsh

Publication date: 1980

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

zbMATH Keywords

numerical examplesquasilinearizationshooting methodsinitial-value adjusting methodproblems of least squares typesystem identification problems

Mathematics Subject Classification ID

System identification (93B30) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Inverse problems involving ordinary differential equations (34A55)

Cites Work

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• 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
• 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