Fast computation of the multidimensional fractional Laplacian
نویسندگان
چکیده
The paper discusses new cubature formulas for the Riesz potential and fractional Laplacian (−Δ)α/2, 0<α<2, in framework of method approximate approximations. This approach, combined with separated representations, makes successful also high dimensions. We prove error estimates report on numerical results illustrating that our are accurate provide predicted convergence rate 2, 4, 6, 8 up to dimension 104.
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ژورنال
عنوان ژورنال: Applicable Analysis
سال: 2021
ISSN: ['1026-7360', '1563-504X', '0003-6811']
DOI: https://doi.org/10.1080/00036811.2021.1986025