Article
Version 1
This version is not peer-reviewed
Multilevel Quasi-Interpolation on Chebyshev Sparse Grids
Version 1
: Received: 29 June 2024 / Approved: 1 July 2024 / Online: 2 July 2024 (09:39:04 CEST)
How to cite: Alsharif, F. Multilevel Quasi-Interpolation on Chebyshev Sparse Grids. Preprints 2024, 2024070159. https://doi.org/10.20944/preprints202407.0159.v1 Alsharif, F. Multilevel Quasi-Interpolation on Chebyshev Sparse Grids. Preprints 2024, 2024070159. https://doi.org/10.20944/preprints202407.0159.v1
Abstract
This paper investigates the potential of utilising multilevel quasi-interpolation techniques on Chebyshev sparse grids for complex numerical computations. The paper starts by laying down the motivations for choosing Chebyshev sparse grids and quasi-interpolation methods with Gaussian kernels. It delves into the practical aspects of implementing these techniques. Various numerical experiments are performed to evaluate the efficiency and limitations of the multilevel quasi-sparse interpolation methods with dimensions two dimension and three dimension. The work ultimately aims to provide a comprehensive understanding of the computational efficiency and accuracy achievable through this approach, comparing its performance with traditional methods.
Keywords
Multilevel; Quasi-Interpolation; Sparse; Chebyshev; Gaussian Kernel; Meshless Grid}
Subject
Computer Science and Mathematics, Computational Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Comments (0)
We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.
Leave a public commentSend a private comment to the author(s)
* All users must log in before leaving a comment
