Results 11 to 20 of about 3,942 (181)
Compactly Supported Wavelets Derived From Legendre Polynomials: Spherical Harmonic Wavelets [PDF]
, 2015 6 pages, 6 figures, 1 table In: Computational Methods in Circuits and Systems Applications, WSEAS press, pp.211-215, 2003.
Lira, M. M. S. +3 more
openaire +3 more sources
Sparse polynomial approximation of parametric elliptic PDEs. Part I: affine coefficients [PDF]
, 2016 We consider elliptic partial differential equations with diffusion coefficients that depend affinely on countably many parameters. We study the summability properties of polynomial expansions of the function mapping parameter values to solutions of the ...
Bachmayr, Markus +2 more
core +13 more sources
An optimal polynomial approximation of Brownian motion [PDF]
, 2020 In this paper, we will present a strong (or pathwise) approximation of standard Brownian motion by a class of orthogonal polynomials. The coefficients that are obtained from the expansion of Brownian motion in this polynomial basis are independent ...
Foster, James +2 more
core +3 more sources
WAVELET SOLUTIONS OF THE KLEIN-GORDON EQUATION [PDF]
Journal of Mahani Mathematical Research, 2012 In this paper, The numerical solutions of the Klein-Gordon equations using Legendre wavelets are investigated. The interest is in solving the problem using the wavelet basis due to its simplicity and efficiency in numerical approximations.
Esmail Hesameddini, S. Shekarpaz
doaj +1 more source
Pseudospectral Method Based on Müntz–Legendre Wavelets for Solving the Abel Integral Equation
Journal of Mathematics, 2022 This paper deals with the numerical solution of the Abel integral equation based on Müntz–Legendre wavelets. To this end, the Abel integral operator is represented by Müntz–Legendre wavelets as an operational matrix.
Ioannis Dassios +2 more
doaj +1 more source
Complex data processing: fast wavelet analysis on the sphere [PDF]
, 2006 In the general context of complex data processing, this paper reviews a recent practical approach to the continuous wavelet formalism on the sphere. This formalism notably yields a correspondence principle which relates wavelets on the plane and on the ...
McEwen, J. D., Vielva, P., Wiaux, Y.
core +2 more sources
Results in Physics, 2021 In this article, a new and efficient operational matrix method based on the amalgamation of Fibonacci wavelets and block pulse functions is proposed for the solutions of time-fractional telegraph equations with Dirichlet boundary conditions.
Firdous A. Shah +4 more
doaj +1 more source
Wavelets operational methods for fractional differential equations and systems of fractional differential equations [PDF]
, 2017 In this thesis, new and effective operational methods based on polynomials and wavelets for the solutions of FDEs and systems of FDEs are developed.
A. H. Al-Bagawi, A. H. Al-Bagawi +8 more
core +2 more sources
Short‐time wind speed prediction based on Legendre multi‐wavelet neural network
CAAI Transactions on Intelligence Technology, 2023 As one of the most widespread renewable energy sources, wind energy is now an important part of the power system. Accurate and appropriate wind speed forecasting has an essential impact on wind energy utilisation.
Xiaoyang Zheng +5 more
doaj +1 more source
Advances in Difference Equations, 2018 In the present paper, we employ a wavelets optimization method is employed for the elucidations of fractional partial differential equations of pricing European option accompanied by a Lévy model. We apply the Legendre wavelets optimization method (LWOM)
Asmat Ara +4 more
doaj +1 more source