Noções sobre métodos numéricos determinísticos e probabilísticos
Autor(a) principal: | |
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Data de Publicação: | 2015 |
Tipo de documento: | Dissertação |
Idioma: | por |
Título da fonte: | Repositório Institucional da UFG |
Texto Completo: | http://repositorio.bc.ufg.br/tede/handle/tede/5469 |
Resumo: | In the field of applied mathematics, the study of numerical methods has its relief importance and it shows a vast variety. In this word will be study four these methods: Bisection, Newton, Secant and Monte Carlo. The first three are methods studied in Numerical Calculus discipline, normally given in graduation from Exactn Science; their goal is the calculation of real functions roots; they work through recurrent sequence converge the exact roots. One of the applications of the fourth method is the calculation of the area under a curve, using, for this, random numbers. In each method we will study the motivation followed of their eff ectiveness. As we will see, there are many areas that need methods, as studied here, for solving problems; the engineering, Chemistry, Physics and Biology are just some of them. In order to demonstrate the importance of the four methods we will present situations that can be applied. Demonstrated the need and eff ectiveness of all methods, we can understand them as an excellent alternative to solving problems in mathematics applied area, especially when conventional resolution methods cannot play a satisfactory role. We must emphasize, also, the importance of using software and computer programs to better performance of the methods. |
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Santos, Fabiano Fortunato Teixeira doshttp://lattes.cnpq.br/6866594296187427Santos, Fabiano Fortunato Teixeira dosVasconcelos, José Éder Salvador dePrudente, Leandro da FonsecaJordan, Pâmella Almeida Quintino2016-04-07T10:48:02Z2015-07-27JORDAN, Pâmella Almeida Quintino. Noções sobre métodos numéricos determinísticos e probabilísticos. 2015. 72 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2015.http://repositorio.bc.ufg.br/tede/handle/tede/5469In the field of applied mathematics, the study of numerical methods has its relief importance and it shows a vast variety. In this word will be study four these methods: Bisection, Newton, Secant and Monte Carlo. The first three are methods studied in Numerical Calculus discipline, normally given in graduation from Exactn Science; their goal is the calculation of real functions roots; they work through recurrent sequence converge the exact roots. One of the applications of the fourth method is the calculation of the area under a curve, using, for this, random numbers. In each method we will study the motivation followed of their eff ectiveness. As we will see, there are many areas that need methods, as studied here, for solving problems; the engineering, Chemistry, Physics and Biology are just some of them. In order to demonstrate the importance of the four methods we will present situations that can be applied. Demonstrated the need and eff ectiveness of all methods, we can understand them as an excellent alternative to solving problems in mathematics applied area, especially when conventional resolution methods cannot play a satisfactory role. We must emphasize, also, the importance of using software and computer programs to better performance of the methods.No campo da matemática aplicada o estudo de métodos numéricos tem sua relevada importância e apresenta uma vasta variedade. Neste trabalho serão estudados quatro destes métodos: Bissecção, Newton, Secante e Monte Carlo. Os três primeiros são métodos estudados na disciplina de Cálculo Numérico, normalmente ministrado nas graduações das Ciências Exatas; o objetivo deles é o cálculo de raízes de funções reais; eles trabalham através de sequências recorrentes que convergem para as raízes exatas. Uma das aplicações do quarto método é o cálculo da área sob uma curva, utilizando, para isso, números aleatórios. Em cada método estudaremos a motivação seguida de sua comprovada eficácia. Como veremos, são muitas as áreas que necessitam de métodos, como os aqui estudados, para resolução de problemas; as engenharias, a Química, a Física e a Biologia são apenas algumas delas. A fi m de demonstrar a importância dos quatro métodos apresentaremos situações em que podem ser aplicados. Demonstrada a necessidade e e ficiência de todos os métodos, podemos compreendê-los como uma excelente alternativa para resolução de problemas na área da matemática aplicada, principalmente quando os métodos convencionais de resolução não conseguem desempenhar papel satisfatório. Devemos enfatizar, ainda, a importância do uso de softwares e programas computacionais para melhor desempenho dos métodos.Submitted by Cláudia Bueno (claudiamoura18@gmail.com) on 2016-04-06T17:13:53Z No. of bitstreams: 2 Dissertação - Pâmella Almeida Quintino Jordan - 2015.pdf: 2688001 bytes, checksum: 877af9d2fad9e949f2e145fa570a729b (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5)Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2016-04-07T10:48:02Z (GMT) No. of bitstreams: 2 Dissertação - Pâmella Almeida Quintino Jordan - 2015.pdf: 2688001 bytes, checksum: 877af9d2fad9e949f2e145fa570a729b (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5)Made available in DSpace on 2016-04-07T10:48:02Z (GMT). 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dc.title.por.fl_str_mv |
Noções sobre métodos numéricos determinísticos e probabilísticos |
dc.title.alternative.eng.fl_str_mv |
Notions about deterministic and probabilistic numerical methods |
title |
Noções sobre métodos numéricos determinísticos e probabilísticos |
spellingShingle |
Noções sobre métodos numéricos determinísticos e probabilísticos Jordan, Pâmella Almeida Quintino Métodos numéricos Bissecção Newton Secante Monte Carlo Numerical methods Bisection Newton Secant Monte Carlo CIENCIAS EXATAS E DA TERRA::MATEMATICA |
title_short |
Noções sobre métodos numéricos determinísticos e probabilísticos |
title_full |
Noções sobre métodos numéricos determinísticos e probabilísticos |
title_fullStr |
Noções sobre métodos numéricos determinísticos e probabilísticos |
title_full_unstemmed |
Noções sobre métodos numéricos determinísticos e probabilísticos |
title_sort |
Noções sobre métodos numéricos determinísticos e probabilísticos |
author |
Jordan, Pâmella Almeida Quintino |
author_facet |
Jordan, Pâmella Almeida Quintino |
author_role |
author |
dc.contributor.advisor1.fl_str_mv |
Santos, Fabiano Fortunato Teixeira dos |
dc.contributor.advisor1Lattes.fl_str_mv |
http://lattes.cnpq.br/6866594296187427 |
dc.contributor.referee1.fl_str_mv |
Santos, Fabiano Fortunato Teixeira dos |
dc.contributor.referee2.fl_str_mv |
Vasconcelos, José Éder Salvador de |
dc.contributor.referee3.fl_str_mv |
Prudente, Leandro da Fonseca |
dc.contributor.author.fl_str_mv |
Jordan, Pâmella Almeida Quintino |
contributor_str_mv |
Santos, Fabiano Fortunato Teixeira dos Santos, Fabiano Fortunato Teixeira dos Vasconcelos, José Éder Salvador de Prudente, Leandro da Fonseca |
dc.subject.por.fl_str_mv |
Métodos numéricos Bissecção Newton Secante Monte Carlo |
topic |
Métodos numéricos Bissecção Newton Secante Monte Carlo Numerical methods Bisection Newton Secant Monte Carlo CIENCIAS EXATAS E DA TERRA::MATEMATICA |
dc.subject.eng.fl_str_mv |
Numerical methods Bisection Newton Secant Monte Carlo |
dc.subject.cnpq.fl_str_mv |
CIENCIAS EXATAS E DA TERRA::MATEMATICA |
description |
In the field of applied mathematics, the study of numerical methods has its relief importance and it shows a vast variety. In this word will be study four these methods: Bisection, Newton, Secant and Monte Carlo. The first three are methods studied in Numerical Calculus discipline, normally given in graduation from Exactn Science; their goal is the calculation of real functions roots; they work through recurrent sequence converge the exact roots. One of the applications of the fourth method is the calculation of the area under a curve, using, for this, random numbers. In each method we will study the motivation followed of their eff ectiveness. As we will see, there are many areas that need methods, as studied here, for solving problems; the engineering, Chemistry, Physics and Biology are just some of them. In order to demonstrate the importance of the four methods we will present situations that can be applied. Demonstrated the need and eff ectiveness of all methods, we can understand them as an excellent alternative to solving problems in mathematics applied area, especially when conventional resolution methods cannot play a satisfactory role. We must emphasize, also, the importance of using software and computer programs to better performance of the methods. |
publishDate |
2015 |
dc.date.issued.fl_str_mv |
2015-07-27 |
dc.date.accessioned.fl_str_mv |
2016-04-07T10:48:02Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/masterThesis |
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dc.identifier.citation.fl_str_mv |
JORDAN, Pâmella Almeida Quintino. Noções sobre métodos numéricos determinísticos e probabilísticos. 2015. 72 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2015. |
dc.identifier.uri.fl_str_mv |
http://repositorio.bc.ufg.br/tede/handle/tede/5469 |
identifier_str_mv |
JORDAN, Pâmella Almeida Quintino. Noções sobre métodos numéricos determinísticos e probabilísticos. 2015. 72 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2015. |
url |
http://repositorio.bc.ufg.br/tede/handle/tede/5469 |
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