Estimación del error en cierta clase de métodos numéricos combinados de estrategia recorrectora
This paper shows an analysis of the order for the approximation and roundoff errors in combined numerical scheme with recorrector strategy of Adams–Moulton– Bashfort family. These methods are used for the numerical solution of the estimation problem in models defined by dynamical ODE. Our interest i...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Universidad de Costa Rica
2009-02-01
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| Series: | Revista de Matemática: Teoría y Aplicaciones |
| Online Access: | https://revistas.ucr.ac.cr/index.php/matematica/article/view/244 |
| _version_ | 1797719870721228800 |
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| author | Aymée Marrero Marta Lourdes Baguer |
| author_facet | Aymée Marrero Marta Lourdes Baguer |
| author_sort | Aymée Marrero |
| collection | DOAJ |
| description | This paper shows an analysis of the order for the approximation and roundoff
errors in combined numerical scheme with recorrector strategy of Adams–Moulton–
Bashfort family. These methods are used for the numerical solution of the estimation
problem in models defined by dynamical ODE. Our interest is avail oneself of “family
or kind” of methods which will be efficient or at least competitive for the numerical
solutions of this type of problems. This strategy is consistent with the present tendency in the use of models with minimal square objective function for the adjustment via
optimization algorithms with and without constrained and explicit, semi-explicit or
implicit numerical methods.
Keywords: Recorrector strategy numerical methods, multi-step, stiffness, roundoff errors. |
| first_indexed | 2024-03-12T09:11:06Z |
| format | Article |
| id | doaj.art-ae56e59205b74e9bbf865e593b03e0a6 |
| institution | Directory Open Access Journal |
| issn | 2215-3373 |
| language | English |
| last_indexed | 2024-03-12T09:11:06Z |
| publishDate | 2009-02-01 |
| publisher | Universidad de Costa Rica |
| record_format | Article |
| series | Revista de Matemática: Teoría y Aplicaciones |
| spelling | doaj.art-ae56e59205b74e9bbf865e593b03e0a62023-09-02T15:00:05ZengUniversidad de Costa RicaRevista de Matemática: Teoría y Aplicaciones2215-33732009-02-01112718510.15517/rmta.v11i2.244229Estimación del error en cierta clase de métodos numéricos combinados de estrategia recorrectoraAymée Marrero0Marta Lourdes Baguer1Universidad de la Habana, Departamento de Matemática Aplicada, Facultad de Matemática y ComputaciónUniversidad de la Habana, Departamento de Matemática Aplicada, Facultad de Matemática y ComputaciónThis paper shows an analysis of the order for the approximation and roundoff errors in combined numerical scheme with recorrector strategy of Adams–Moulton– Bashfort family. These methods are used for the numerical solution of the estimation problem in models defined by dynamical ODE. Our interest is avail oneself of “family or kind” of methods which will be efficient or at least competitive for the numerical solutions of this type of problems. This strategy is consistent with the present tendency in the use of models with minimal square objective function for the adjustment via optimization algorithms with and without constrained and explicit, semi-explicit or implicit numerical methods. Keywords: Recorrector strategy numerical methods, multi-step, stiffness, roundoff errors.https://revistas.ucr.ac.cr/index.php/matematica/article/view/244 |
| spellingShingle | Aymée Marrero Marta Lourdes Baguer Estimación del error en cierta clase de métodos numéricos combinados de estrategia recorrectora Revista de Matemática: Teoría y Aplicaciones |
| title | Estimación del error en cierta clase de métodos numéricos combinados de estrategia recorrectora |
| title_full | Estimación del error en cierta clase de métodos numéricos combinados de estrategia recorrectora |
| title_fullStr | Estimación del error en cierta clase de métodos numéricos combinados de estrategia recorrectora |
| title_full_unstemmed | Estimación del error en cierta clase de métodos numéricos combinados de estrategia recorrectora |
| title_short | Estimación del error en cierta clase de métodos numéricos combinados de estrategia recorrectora |
| title_sort | estimacion del error en cierta clase de metodos numericos combinados de estrategia recorrectora |
| url | https://revistas.ucr.ac.cr/index.php/matematica/article/view/244 |
| work_keys_str_mv | AT aymeemarrero estimaciondelerrorenciertaclasedemetodosnumericoscombinadosdeestrategiarecorrectora AT martalourdesbaguer estimaciondelerrorenciertaclasedemetodosnumericoscombinadosdeestrategiarecorrectora |