3 papers
math.NA2020
Numerical Approximation of the Fractional Laplacian on Using Orthogonal Families
Jorge Cayama, Carlota M. Cuesta, Francisco de la Hoz
In this paper, using well-known complex variable techniques, we compute explicitly, in terms of the Gaussian hypergeometric function, the one-dimensional fractional Lapla…
math.NA2019
On the Evolution of the Vortex Filament Equation for regular -polygons with nonzero torsion
Francisco de la Hoz, Sandeep Kumar, Luis Vega
In this paper, we consider the evolution of the Vortex Filament equation (VFE): \begin{equation*} \mathbf X_t = \mathbf Xs \wedge \mathbf Xss, \end{equation*} taking -sided regu…
math.NA2019
A Pseudospectral Method for the One-Dimensional Fractional Laplacian on
Jorge Cayama, Carlota M. Cuesta, Francisco de la Hoz
In this paper, we propose a novel pseudospectral method to approximate accurately and efficiently the fractional Laplacian without using truncation. More precisely, given a bounded…