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Crystallographic Haar Wavelets

Journal of Fourier Analysis and Applications, 2011
Let \(\Gamma\) be a \(d\)-dimensional crystallographic group and let \(a:\,{\mathbb R}^d \to {\mathbb R}^d\) be an expanding affine map. By definition, \((\Gamma,a)\)-crystallographic multiwavelets form a finite set of functions \(\{\psi^1,\ldots, \psi^L\}\), which generate an orthonormal basis, a Riesz basis or a Parseval frame for \(L^1({\mathbb R}^d)
González, Alfredo L.   +1 more
openaire   +2 more sources

An approach based on Haar wavelet for the approximation of fractional calculus with application to initial and boundary value problems

Mathematical methods in the applied sciences, 2020
In this paper, we propose the numerical approximation of fractional initial and boundary value problems using Haar wavelets. In contrast to the Haar wavelet methods available in literature, where the fractional derivative of the function is approximated ...
Vaibhav Mehandiratta   +2 more
semanticscholar   +1 more source

A Haar wavelet collocation approach for solving one and two‐dimensional second‐order linear and nonlinear hyperbolic telegraph equations

Numerical Methods for Partial Differential Equations, 2020
We have developed a new numerical method based on Haar wavelet (HW) in this article for the numerical solution (NS) of one‐ and two‐dimensional hyperbolic Telegraph equations (HTEs).
M. Asif   +3 more
semanticscholar   +1 more source

Ze vroegen aan haar naar haar mening

2023
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Coppen, P.A.J.M., Coppen, P.A.J.M.
openaire   +2 more sources

Haar Wavelet Splines

Journal of Interdisciplinary Mathematics, 2001
Abstract In this paper is discussed the numerical approximation of differential operators using Haar wavelet bases and their spline-derivatives. It is shown how to smooth the Haar family of wavelets using splines, and to compute the derivatives of the Haar function using the splines.
openaire   +2 more sources

Face Detection using Haar Cascades to Filter Selfie Face Image on Instagram

2019 International Conference of Artificial Intelligence and Information Technology (ICAIIT), 2019
Instagram is one of the fastest growing social media in recent years. Instagram is a popular social media that is used to share images. An image search on Instagram can use a particular keyword or often called hashtag.
Adri Priadana, Muhammad Habibi
semanticscholar   +1 more source

A numerical algorithm based on scale-3 Haar wavelets for fractional advection dispersion equation

, 2020
Purpose This paper aims to propose a novel approach based on uniform scale-3 Haar wavelets for unsteady state space fractional advection-dispersion partial differential equation which arises in complex network, fluid dynamics in porous media, biology ...
Sapna Pandit, R. Mittal
semanticscholar   +1 more source

Higher resolution methods based on quasilinearization and Haar wavelets on Lane-Emden equations

Int. J. Wavelets Multiresolution Inf. Process., 2019
Computing solutions of singular differential equations has always been a challenge as near the point of singularity it is extremely difficult to capture the solution. In this research paper, Haar wavelet coupled with quasilinearization approach (HWQA) is
A. Verma, D. Tiwari
semanticscholar   +1 more source

Haar wavelets collocation method for a system of nonlinear singular differential equations

, 2020
Purpose The purpose of this paper is to propose an efficient computational technique, which uses Haar wavelets collocation approach coupled with the Newton-Raphson method and solves the following class of system of Lane–Emden equations: −(tk1y′(t))′=t−
A. Verma, Narendra Kumar, D. Tiwari
semanticscholar   +1 more source

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