Métodos numéricos para integrais: um estudo numérico da ordem de convergência

Abstract

The present academic work has numerical integration as its central subject. The main objective was to study both the Trapezoidal Rule and Simpson’s 1/3 Rule. To achieve that, examples were analytically solved at first, using classical integration techniques, and after that, solved numerically using the aforementioned methods. Besides that, a numerical study of each method was proposed, in order to practically verify the order of the errors in the approximations. The computational implementations were made on electronic spreadsheets. The results show the efficiency of numerical methods for calculating integrals, especially if the amount of subintervals taken in the discretizations is increased.