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Master's Dissertation
DOI
10.11606/D.55.2018.tde-29062018-141001
Document
Author
Full name
Augusto de Abreu Pires
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 1994
Supervisor
Committee
Castelo Filho, Antonio (President)
Diogo, Maria Teresa Romaozinho Marques
Franco, Neide Maria Bertoldi
Title in Portuguese
MÉTODOS NUMÉRICOS PARA A SOLUÇÃO DE EQUAÇÕES ALGÉBRICO-DIFERENCIAIS
Keywords in Portuguese
Não disponível
Abstract in Portuguese
Este trabalho dia respeito à solução numérica de equações algébrico - diferenciais de índices zero, um e dois. Uma classe de métodos, conhecida na literatura como métodos de diferenças para trás é considerada e alguns resultados de convergência são dados. Equações algébricas - diferenciais com singularidades também são estudadas. Alguns resultados de existência a unicidade são apresentados e uma nova classe de métodos desenvolvida por [Castelo/Tavares - 94] é introduzida. Finalizaremos este trabalho com alguns exemplos numéricos que ilustram o funcionamento dos métodos considerados.
Title in English
Numerical methods for solutions of differential algebraic equations
Keywords in English
Not available
Abstract in English
This work is concerned wiyh the numerical solution of differential - algebraic equations of indexes zero, one and two. A class of methods, known in the literature as backward difference methodfs, is considered and some convergence results are given. Differential - algebraic equations with singularities are also studieds. Some existence and uniqueness results are presented and a new class of methods developed by [Castelo/Tavares - 94] is introduced. we finish this work with some numerical exemples which ilustrete the performance of the methods considered.
 
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Publishing Date
2018-06-29
 
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