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Master's Dissertation
DOI
10.11606/D.55.2018.tde-19032018-103116
Document
Author
Full name
Vanessa Rolnik Artioli
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 1998
Supervisor
Committee
Fortuna, Armando de Oliveira (President)
Cuminato, José Alberto
Lemos, Marcelo José Santos de
Title in Portuguese
Obtenção Automatizada da Expressão do Erro de Truncamento presente na Discretização de Equações Diferenciais Parciais
Keywords in Portuguese
Não disponível
Abstract in Portuguese
Esta dissertação apresenta o programa computacional EQMOD, o qual determina a expressão do erro de truncamento presente na discretização de equações diferenciais parciais. Esta expressão é obtida a partir da equação modificada associada à discretização, cujo processo de obtenção envolve extensas manipulações algébricas, dificultando seu cálculo manual. Porém, ele se presta à automatização em um computador munido de uma linguagem de programação simbólica. Para isso, escolheu-se a linguagem de programação do pacote Mathematica. São mostrados vários exemplos que demonstram a funcionalidade e aplicabilidade do sistema desenvolvido.
Title in English
Not available
Keywords in English
Not available
Abstract in English
This work describes the computer program EQMOD. This program determines tho expression for the truncation error present in the discretization of partial diferential equations. Such expression is obtained from the modified equation associated with the chosen discretization. The modified equation can be obtained through extensive algebric manipulations. These become cumbersome after a while, making their manual evaluation complicated. However, they can be efficiently performed by a computer running a simbolic manipulation package. Many such packages exist and this work adopted Mathematica. Various examples demonstrate the fu.ncionality and aplicability of the program EQMOD.
 
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Publishing Date
2018-03-19
 
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