Numerical integration using wavelets

H Hashish, SH Behiry, NA El-Shamy - Applied mathematics and …, 2009 - Elsevier
… In this paper, an algorithm for obtaining approximate value of a definite integral as well
as double integral using wavelets will be illustrated. This approximation depends on the …

[HTML][HTML] Quadrature rules for numerical integration based on Haar wavelets and hybrid functions

I Aziz, W Khan - Computers & Mathematics with Applications, 2011 - Elsevier
… used above for Haar wavelets. In this section hybrid functions will be used to derive numerical
integration formulas with variable limits, that is, where the area of integration need not be …

Wavelets and fast numerical algorithms

G Beylkin - Different perspectives on wavelets, 1993 - books.google.com
numerically is the diagonal preconditioner available for periodized differential operators in the
wavelet … of the new numerical methodology based on the wavelet representations. Starting …

Numerical computation method in solving integral equations by using Chebyshev wavelet operational matrix of integration

E Babolian, F Fattahzadeh - Applied Mathematics and Computation, 2007 - Elsevier
… i ϕ i ( t ) , and using the operational matrix of integration and the product … Here we would like
to use Chebyshev Wavelet basis in … Here we choose ϕ i (t), as Chebyshev wavelets on [0, 1]. …

Wavelet-based numerical analysis: A review and classification

B Li, X Chen - Finite Elements in Analysis and Design, 2014 - Elsevier
… review and classification on wavelet multiresolution in numerical analysis domains and …
points for research in wavelet numerical analysis and guide researchers and practitioners. …

Wavelet packets: Uniform approximation and numerical integration

N Khanna, SK Kaushik, AM Jarrah - … Journal of Wavelets …, 2020 - World Scientific
… studied vanishing moments of Hilbert transform of waveletsWavelets have also been used
for numerical integration. For … wavelet packet systems and biorthogonal Coifman wavelet

Time integration using wavelets

KS Amaratunga, JR Williams - Wavelet Applications II, 1995 - spiedigitallibrary.org
… A second problem is that a wavelet-based time integration scheme should be … we use
wavelets of the Daubechies family as a starting point for the development of stable time integration

[BOOK][B] Wavelet numerical method and its applications in nonlinear problems

YH Zhou - 2021 - Springer
numerical techniques can be of advantages. I hope that this book can also facilitate the
researchers and engineers working on other numerical methods to consider using wavelet

[HTML][HTML] Legendre multi-wavelets collocation method for numerical solution of linear and nonlinear integral equations

M Asif, I Khan, N Haider, Q Al-Mdallal - Alexandria Engineering Journal, 2020 - Elsevier
… In this section, the numerical integration using quadrature technique with linear LMWs basis
is considered. After this, the presented numerical technique based on linear LMWs will be is …

[PDF][PDF] Construction and Applications of wavelets in Numerical Analysis

W Sweldens - 1994 - 9p.io
… This thesis investigates the use of wavelets in numerical analysis problems. In the rst part
we … the wavelet coefcients, while the latter allows a simple comparison of di erent wavelet