Results 21 to 30 of about 15,236 (179)

The special atom space and Haar wavelets in higher dimensions

Demonstratio Mathematica, 2020
In this note, we will revisit the special atom space introduced in the early 1980s by Geraldo De Souza and Richard O’Neil. In their introductory work and in later additions, the space was mostly studied on the real line.
Kwessi Eddy, de Souza Geraldo, Djitte Ngalla, Ndiaye Mariama   +3 more
doaj   +1 more source

Permeability up-scaling using Haar Wavelets [PDF]

Transport in Porous Media, 2006
Accepted for pubblication on Transport in Porous Media June ...
Pancaldi, V., Christensen, K., King, P. R.   +2 more
openaire   +2 more sources

Haar wavelets multi-resolution collocation procedures for two-dimensional nonlinear Schrödinger equation

Alexandria Engineering Journal, 2021
In this article, two different multi-resolution methods based on Haar wavelets are proposed for the numerical solution of two-dimensional Schrödinger equations. Both the linear and nonlinear model equations are considered.
Xuan Liu, Muhammad Ahsan, Masood Ahmad, Iltaf Hussian, M.M. Alqarni, Emad E. Mahmoud   +5 more
doaj   +1 more source

Discrete differential operators in multidimensional Haar wavelet spaces

International Journal of Mathematics and Mathematical Sciences, 2004
We consider a class of discrete differential operators acting on multidimensional Haar wavelet basis with the aim of finding wavelet approximate solutions of partial differential problems.
Carlo Cattani, Luis M. Sánchez Ruiz
doaj   +1 more source

FOURIER COEFFICIENTS OF CONTINUOUS FUNCTIONS WITH RESPECT TO LOCALIZED HAAR SYSTEM

Проблемы анализа, 2017
We construct a nontrivial example of a continuous function f* on [0, 1]² which is orthogonal to tensor products of Haar functions supported on intervals of the same length.
E. S. Belkina, Yu. V. Malykhin
doaj   +1 more source

MUSCL reconstruction and Haar wavelets [PDF]

Communications in Mathematical Sciences, 2015
MUSCL extensions (Monotone Upstream-centered Schemes for Conservation Laws) of the Godunov numerical scheme for scalar conservation laws are shown to admit a rather simple reformulation when recast in the formalism of the Haar multi-resolution analysis of L2(R).
openaire   +1 more source

A higher-order collocation technique based on Haar wavelets for fourth-order nonlinear differential equations having nonlocal integral boundary conditions

Alexandria Engineering Journal
This article encounters the use of two wavelet methods, namely the collocation method based on Haar wavelets (CMHW) and the higher-order collocation method based on Haar wavelets (HCMHW), to solve linear and nonlinear fourth-order differential equations ...
Muhammad Ahsan, Weidong Lei, Amir Ali Khan, Masood Ahmed, Maher Alwuthaynani, Ayesha Amjad   +5 more
doaj   +1 more source

APPROXIMATE OPTIMAL CONTROL OF LINEAR TIME-DELAY SYSTEMS VIA HAAR WAVELETS [PDF]

Journal of Engineering Science and Technology, 2016
In this paper, Haar wavelet benefits are applied to the optimal control of linear time-delay systems. A discretized form of optimal control problem at collocation points based on some useful properties of Haar wavelets transforms original problem into a ...
AKBAR H. BORZABADI, SOLAYMAN ASADI
doaj  

A Haar wavelet-based scheme for finding the control parameter in nonlinear inverse heat conduction equation

Open Physics, 2021
In this article, a hybrid Haar wavelet collocation method (HWCM) is proposed for the ill-posed inverse problem with unknown source control parameters. Applying numerical techniques to such problems is a challenging task due to the presence of nonlinear ...
Ahsan Muhammad, Lin Shanwei, Ahmad Masood, Nisar Muhammad, Ahmad Imtiaz, Ahmed Hijaz, Liu Xuan   +6 more
doaj   +1 more source

Time-Modulated Arrays With Haar Wavelets

IEEE Antennas and Wireless Propagation Letters, 2020
Time-modulated arrays (TMAs) can effectively perform beamsteering over the first positive harmonic pattern by applying progressively delayed versions of stair-step approximations of a sine waveform to the antenna excitations. In this letter, we consider synthesizing such stair-step sine approximations by means of Haar wavelets.
Roberto Maneiro-Catoira, Julio Bregains, Jose A. Garcia-Naya, Luis Castedo   +3 more
openaire   +3 more sources