Utilize este identificador para referenciar este registo:
http://hdl.handle.net/10773/4453
Título: | A discrete algorithm to the calculus of variations |
Autor: | Célia T. L. M. Pereira João Pedro Cruz Delfim Torres |
Palavras-chave: | Calculus of Variations Discretization Euler-Lagrange equations Solvers Brachistochrone problem Lavrentiev phenomenon Manià example |
Data: | 2011 |
Editora: | CESER Publications |
Resumo: | A numerical study of an algorithm proposed by Gusein Guseinov, which determines approximations to the optimal solution of problems of calculus of variations using two discretizations and correspondent Euler-Lagrange equations, is investigated. The results we obtain to discretizations of the brachistochrone problem and Maniµa example with Lavrentiev's phenomenon are compared with the solutions found by other methods and solvers. We conclude that Guseinov's method presents better solutions in most of the cases studied. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/4453 |
ISSN: | 0974-7117 |
Versão do Editor: | http://ceser.in/ceserp/index.php/ijms/article/view/756 |
Aparece nas coleções: | DMat - Artigos |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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2010_PEREIRA_CRUZ_TORRES_discrete.pdf | Documento principal | 161.95 kB | Adobe PDF |
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