Integração numérica para funções compostas em domínios multidimensionais através de uma quadratura de Lebesgue
The present dissertation aims to introduce a numerical integration method, whose application will run on domains containing a high number of dimensions. In this regard, the developed methodology seeks to present a Lebesgue quadrature, which is based on partitions of the image of a function, where ea...
Na minha lista:
| Autor principal: | |
|---|---|
| Outros Autores: | |
| Formato: | Dissertação |
| Idioma: | pt_BR |
| Publicado em: |
Universidade Federal do Rio Grande do Norte
|
| Assuntos: | |
| Endereço do item: | https://repositorio.ufrn.br/handle/123456789/58069 |
| Tags: |
Adicionar Tag
Sem tags, seja o primeiro a adicionar uma tag!
|
| Resumo: | The present dissertation aims to introduce a numerical integration method, whose application will run on domains containing a high number of dimensions. In this regard, the developed methodology seeks to present a Lebesgue quadrature, which is based on partitions of the image of a function, where each weight is associated with a value of the function defined in its image. For Riemann-Integrable functions, we demonstrate the existence of a Lebesgue quadrature and show how to construct quadratures of this type for composite functions, in which the method exhibited good efficiency, surpassing quasi-Monte Carlo methods. The method involves arbitrarily approximating the value of a given finite sum using information generated by a histogram, to demonstrate that the numerical integration of a composite function, whose argument’s density has been previously determined, can be evaluated very easily. |
|---|