Estimation of perturbations without modeling assumptions in second-order ordinary differential equations : Notas de Matemática, 48

This paper is concerned with the estimation of a small perturbing function affecting a system of second-order ODEs, in order to get a solution of it fitting a given set of measurements. The classical approach consist of perturbation modeling and least-squares parameter specification. Alternative pro...

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Detalles Bibliográficos
Autor principal: Rodríguez, Rodolfo
Formato: Publicacion seriada
Lenguaje:Inglés
Publicado: 1988
Materias:
Matemática
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/170310
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-170310
record_format dspace
spelling I19-R120-10915-1703102024-09-18T04:11:17Z http://sedici.unlp.edu.ar/handle/10915/170310 Estimation of perturbations without modeling assumptions in second-order ordinary differential equations : Notas de Matemática, 48 Rodríguez, Rodolfo 1988 2024-09-17T17:35:48Z en Matemática This paper is concerned with the estimation of a small perturbing function affecting a system of second-order ODEs, in order to get a solution of it fitting a given set of measurements. The classical approach consist of perturbation modeling and least-squares parameter specification. Alternative procedures are needed when no a-priori adequate perturbation model is at disposal. A general scheme for methods needing no modeling assumption is introduced and a complete error analysis of them is obtained. Tills error characterisation allows to determine methods minimising the effect of each error source; therefore, optimal schemes under different restrictions are deduced. Material digitalizado en SEDICI gracias a la colaboración de la Biblioteca del Departamento de Matemática de la Facultad de Ciencias Exactas (UNLP). Facultad de Ciencias Exactas Publicacion seriada Publicacion seriada http://creativecommons.org/licenses/by-nc-sa/4.0/ Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) application/pdf
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
spellingShingle Matemática
Rodríguez, Rodolfo
Estimation of perturbations without modeling assumptions in second-order ordinary differential equations : Notas de Matemática, 48
topic_facet Matemática
description This paper is concerned with the estimation of a small perturbing function affecting a system of second-order ODEs, in order to get a solution of it fitting a given set of measurements. The classical approach consist of perturbation modeling and least-squares parameter specification. Alternative procedures are needed when no a-priori adequate perturbation model is at disposal. A general scheme for methods needing no modeling assumption is introduced and a complete error analysis of them is obtained. Tills error characterisation allows to determine methods minimising the effect of each error source; therefore, optimal schemes under different restrictions are deduced.
format Publicacion seriada
Publicacion seriada
author Rodríguez, Rodolfo
author_facet Rodríguez, Rodolfo
author_sort Rodríguez, Rodolfo
title Estimation of perturbations without modeling assumptions in second-order ordinary differential equations : Notas de Matemática, 48
title_short Estimation of perturbations without modeling assumptions in second-order ordinary differential equations : Notas de Matemática, 48
title_full Estimation of perturbations without modeling assumptions in second-order ordinary differential equations : Notas de Matemática, 48
title_fullStr Estimation of perturbations without modeling assumptions in second-order ordinary differential equations : Notas de Matemática, 48
title_full_unstemmed Estimation of perturbations without modeling assumptions in second-order ordinary differential equations : Notas de Matemática, 48
title_sort estimation of perturbations without modeling assumptions in second-order ordinary differential equations : notas de matemática, 48
publishDate 1988
url http://sedici.unlp.edu.ar/handle/10915/170310
work_keys_str_mv AT rodriguezrodolfo estimationofperturbationswithoutmodelingassumptionsinsecondorderordinarydifferentialequationsnotasdematematica48
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