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Master's Dissertation
DOI
10.11606/D.55.2017.tde-28112017-154602
Document
Author
Full name
Renato Cesar da Silva
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 1996
Supervisor
Committee
Castelo Filho, Antonio (President)
Cuminato, José Alberto
Martins, Sebastiao Pereira
Title in Portuguese
ANALISE E IMPLEMENTACAO DE UMA FERRAMENTA PARA RESOLUCAO NUMERICA DE EQUACOES ALGEBRICO-DIFERENCIAIS COM SINGULARIDADES.
Keywords in Portuguese
Não disponível
Abstract in Portuguese
Este trabalho diz respeito à solução numérica de equação algébrico-diferencial (E.A.D.) com singularidades. Inicialmente realizamos um estudo sobre a teoria geral de E.A.D. e dos métodos numéricos a ela aplicado. Uma nova classe de métodos para E.A.D. com singularidades, desenvolvida em [Castelo-Tavares-94], é introduzida. Na implementação dessa nova classe de métodos, utilizamos o método BDF com ordem e amplitude do passo variáveis. A utilização do método BDF, bem como as técnicas de seleção de ordem e amplitude do passo foram baseadas nas utilizadas no código DASSL [Brenan-89]. Finalizamos o trabalho com alguns exemplos numéricos que ilustram o funcionamento dos métodos considerados.
Title in English
Analysis and Implementation of a Appliance for a Numerical Solution of Differential-Algebraic Equations with Singutarities
Keywords in English
Not available
Abstract in English
This work is concerned with the numerical solution of differential-algebraic equation (D.A.E.) with singularities. Initiaily we maked a study about the general theory of D.A.E. and numericals methods applicaded itself. A new class of methods for D.A.E. with singularities, developed in [Castelo-Tavares-94], was introduced. In the implementation this new class of methods, we used Baclorard Differentiation Formulas (BDF) methods with variable order and stepsize. The BDF methods, well as the techniques of order and stepsize selection are based on the DASSL code [Brenan-89]. We end the work with some numericals examples which illustrate the methods considered.
 
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RenatoCesardaSilva.pdf (54.65 Mbytes)
Publishing Date
2017-11-28
 
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