Wavelet adaptive algorithm for discrete pseudo-differential operators

Author(s):

Nematollah Kadkhoda * , Morteza Koozehgar

Message:
Article Type:
Research/Original Article (بدون رتبه معتبر)
Abstract:
In this study, we examine biorthogonal wavelets that are tailored to a specific discrete pseudo-differential equation ‎‎‎of the form $T_{\sigma}u = f$, where $T_{\sigma}$ is an invertible discrete pseudo-differential operator defined on ‎‎‎the lattice $\mathbb{Z}^{n}$ for every $f\in\ell^{2}(\mathbb{Z}^{n})‎$‎. Our focus is on computing Galerkin approximations ‎‎‎of the solution to this problem using an adaptive algorithm.‎
Keywords:

Wavelet , Discrete Pseudo-differential operators , Error bound , Galerkin method , Approximation algorithm

Language:
English
Published:
Caspian Journal of Mathematical Sciences, Volume:12 Issue: 2, Summer Autumn 2023
Pages:
224 to 232
https://www.magiran.com/p2698652