14 citations · 24 across the 13 of their papers we have counts for
13 papers
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…
Large time behaviour of a conservation law regularised by a Riesz-Feller operator: the sub-critical case
Carlota M. Cuesta, Xuban Diez
We study the large time behaviour of the solutions of a non-local regularisation of a scalar conservation law. This regularisation is given by a fractional derivative of order $1+α…
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…
Vanishing viscosity limit of a conservation law regularised by a Riesz-Feller operator
Carlota M. Cuesta, Xuban Diez
We study a nonlocal regularisation of a scalar conservation law given by a fractional derivative of order between one and two. The nonlocal operator is of Riesz-Feller type with sk…
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…