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Doctoral Thesis
DOI
Document
Author
Full name
Neide Maria Bertoldi Franco
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 1982
Supervisor
Committee
Mckee, James Clark Saint Clair Sean (President)
Albrecht, Peter
Andrade, Celia Maria Finazzi de
Barros, Ivan de Queiroz
Zago, Jose Vitorio
Title in Portuguese
SOLUÇÃO NUMÉRICA DE ALGUMAS EQUAÇÕES INTEGRAIS DO TIPO VOLTERRA
Keywords in Portuguese
Não disponível
Abstract in Portuguese
Não disponível
Title in English
NUMERICAL SOLUTION OF SOME INTEGRAL EQUATIONS OF VOLTERRA TYPE
Keywords in English
Not available
Abstract in English
This thesis is concerned with the numerical solution of three integral equations of Volterra type. Chapter 1 presents some basic notation and mathematical results. Chapter 2 is concerned with linear multistep methods for the direct solution of Volterra integral equations of the first kind with a kernel identically equal to zero when t = s . A numerical method for solving a non-línear singular integral equation describing the temperature distribution of the surface of a projectile moving through a laminar boundary layer is discussed in Chapter 3. The convergence of this product integration method is given. Chapter4 generalises the previous chapter for a method of order n. Finally Chapter 5 treats a numerical method for a non-linear integral equation arising from non-linear waves in shock tubes.
 
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Publishing Date
2019-11-26
 
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