14 citations · 24 across the 13 of their papers we have counts for
5 papers · 1 filter
Numerical computation of the half Laplacian by means of a fast convolution algorithm
Carlota M. Cuesta, Francisco de la Hoz, Ivan Girona
In this paper, we develop a fast and accurate pseudospectral method to approximate numerically the half Laplacian of a function on , which is equivalent to…
A fast convolution method for the fractional Laplacian in
Jorge Cayama, Carlota M. Cuesta, Francisco de la Hoz +1
In this article, we develop a new method to approximate numerically the fractional Laplacian of functions defined on , as well as some more general singular integrals. A…
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…
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…
A pseudo-spectral method for a non-local KdV-Burgers equation posed on
Francisco de la Hoz, Carlota Maria Cuesta
In this paper, we present a new pseudo-spectral method to solve the initial value problem associated to a non-local KdV-Burgers equation involving a Caputo-type fractional derivati…