Aldo Artur Belardi

Contribuição a aplicação das wavelets na eletrostática

This work presents the methodology from the determination the charges superficial density, in two simple structure a to straight thread and in plane plates, both finite and submitted to a constant potential. That involves the method of the moments using as expansion function the wavelets instead of the pulse function, in order to reach a good precision and reducing the computational execution time. We also intends to take advantages of the wavelets application through the Cholesky decomposition, talking about formation of scattered matrixes, and the detection of nulls values.

Dollar and the stock market: An approach using Haar wavelet

This paper presents a methodology to detect significant changes in the price of U.S. dollar in regarding to the stock exchange using the Haar wavelet as well as statistical analyzes of several parameters. The data used arise of information provided by the stock market, both for the U.S. dollar and for the stock market. The results show that the applied methodology through Haar wavelet, are able to inform in advance the trend of the stock market through a single variable, the U.S. dollar.

Wavelet's application in electrostatic and their computing aspects

This paper presents the mathematical basis, and some results, concerning the application of the Haars Wavelets as the expansion function in the method of moments. Some computational optimization techniques are used, and their main aspects are stressed in the paper. As an example, the surface charge density on a finite and thin plane plate calculation is presented, in which the main computational performance aspects are evaluated.

Application of Haar’s wavelets in the method of moments to solve electrostatic problems

Presents the mathematical basis and some results, concerning the application of Haars wavelets, as an expansion function, in the method of moments to solve electrostatic problems. Two applications regarding the evaluation of linear and surface charge densities were carried out: the first one on a finite straight wire, and the second one on a thin square plate. Some optimization techniques were used, whose main computational performance aspects are emphasized. Presents comparative results related to the use of Haars wavelets and the conventional expansion functions.

Calculation of the Parallel Finite Plate Capacitances sing Wavelets

This paper presents the mathematical basis, and some results concerning the calculation of parallel finite plate capacitances using wavelets as expansion function in the method of moments. An application concerning a parallel finite plate is carried out, in which the main computational performance aspects were evaluated