Haar-like wavelets defined over tetrahedrical grids - Computer Science Society, 2000. Proceedings. XX International Conference of the Chilean

A wavelet method for stochastic Volterra integral equations and its application to general stock model

In this article,we present a wavelet method for solving stochastic Volterra integral equations based on Haar wavelets. First, we approximate all functions involved in the problem by Haar Wavelets then, by substituting the obtained approximations in the problem, using the It^{o} integral formula and collocation points then, the main problem changes into a system of linear or nonlinear equation w...

Proceedings of the 6th International Conference on Science and Social Research (CSSR)(Malaysia)

A Haar wavelets approach to Stirling's formula

This paper presents a proof of Stirling's formula using Haar wavelets and some properties of Hilbert space, such as Parseval's identity. The present paper shows a connection between Haar wavelets and certain sequences.

XXIV International Conference of the Chilean Computer Science Society (SCCC 2004), 11-12 November 2004, Arica, Chile

Reconstruction of dynamic PET data using spatio-temporal wavelet l(1) regularization.

Tomographic reconstruction from PET data is an ill-posed problem that requires regularization. Recently, Daubechies et al. [1] proposed an l (1) regularization of the wavelet coefficients that can be optimized using iterative thresholding schemes. In this paper, we extend this approach for the reconstruction of dynamic (spatio-temporal) PET data. Instead of using classical wavelets in the tempo...