On the convergence of a method for solving two point boundary value problems by optimal control
Using the idea of the least squares method, a nonlinear two point boundary value problem is transformed into an optimal control problem. For solving the optimal control problem the gradient method is used. The convergence of the method is investigated and numerical results are reported.
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Publishing House of the Romanian Academy
2002-08-01
|
| Series: | Journal of Numerical Analysis and Approximation Theory |
| Subjects: | |
| Online Access: | https://ictp.acad.ro/jnaat/journal/article/view/727 |
| _version_ | 1811291538819383296 |
|---|---|
| author | Ernest Scheiber |
| author_facet | Ernest Scheiber |
| author_sort | Ernest Scheiber |
| collection | DOAJ |
| description | Using the idea of the least squares method, a nonlinear two point boundary value problem is transformed into an optimal control problem. For solving the optimal control problem the gradient method is used. The convergence of the method is investigated and numerical results are reported. |
| first_indexed | 2024-04-13T04:30:53Z |
| format | Article |
| id | doaj.art-e7049f4f01d94779a13c7d1ba38ef5b1 |
| institution | Directory Open Access Journal |
| issn | 2457-6794 2501-059X |
| language | English |
| last_indexed | 2024-04-13T04:30:53Z |
| publishDate | 2002-08-01 |
| publisher | Publishing House of the Romanian Academy |
| record_format | Article |
| series | Journal of Numerical Analysis and Approximation Theory |
| spelling | doaj.art-e7049f4f01d94779a13c7d1ba38ef5b12022-12-22T03:02:21ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2002-08-01312On the convergence of a method for solving two point boundary value problems by optimal controlErnest Scheiber0“Transilvania” University of Brasov, RomaniaUsing the idea of the least squares method, a nonlinear two point boundary value problem is transformed into an optimal control problem. For solving the optimal control problem the gradient method is used. The convergence of the method is investigated and numerical results are reported.https://ictp.acad.ro/jnaat/journal/article/view/727two point boundary value problemoptimal controlleast squares methodgradient method |
| spellingShingle | Ernest Scheiber On the convergence of a method for solving two point boundary value problems by optimal control Journal of Numerical Analysis and Approximation Theory two point boundary value problem optimal control least squares method gradient method |
| title | On the convergence of a method for solving two point boundary value problems by optimal control |
| title_full | On the convergence of a method for solving two point boundary value problems by optimal control |
| title_fullStr | On the convergence of a method for solving two point boundary value problems by optimal control |
| title_full_unstemmed | On the convergence of a method for solving two point boundary value problems by optimal control |
| title_short | On the convergence of a method for solving two point boundary value problems by optimal control |
| title_sort | on the convergence of a method for solving two point boundary value problems by optimal control |
| topic | two point boundary value problem optimal control least squares method gradient method |
| url | https://ictp.acad.ro/jnaat/journal/article/view/727 |
| work_keys_str_mv | AT ernestscheiber ontheconvergenceofamethodforsolvingtwopointboundaryvalueproblemsbyoptimalcontrol |