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Fast computation of the multidimensional fractional Laplacian

Authors :
Lanzara, Flavia
Mazya, Vladimir
Schmidt, Gunther
Lanzara, Flavia
Mazya, Vladimir
Schmidt, Gunther
Publication Year :
2022

Abstract

The paper discusses new cubature formulas for the Riesz potential and the fractional Laplacian (-Delta)(alpha/2), 0 < alpha < 2, in the framework of the method approximate approximations. This approach, combined with separated representations, makes the method successful also in high dimensions. We prove error estimates and report on numerical results illustrating that our formulas are accurate and provide the predicted convergence rate 2, 4, 6, 8 up to dimension 10(4).<br />Funding Agencies|RUDN University Strategic Academic Leadership Program

Details

Database :
OAIster
Notes :
English
Publication Type :
Electronic Resource
Accession number :
edsoai.on1280626325
Document Type :
Electronic Resource
Full Text :
https://doi.org/10.1080.00036811.2021.1986025