Fractional Laplace operator in two dimensions, approximating matrices, and related spectral analysis
Fractional Laplace operator in two dimensions, approximating matrices, and related spectral analysis
Abstract In this work we review some proposals to define the fractional Laplace operator in two or more spatial variables and we provide their approximations using finite differences or the so-called Matrix Transfer Technique. We study the structure of the resulting large matrices from the spectral viewpoint. In particular, by …