5 papers
A matrix-based spectral method for the numerical approximation of the fractional Laplacian and the fractional -Laplacian of functions defined on
Loïc Constantin, Carlota M. Cuesta, Francisco de la Hoz
Given a function defined on , its fractional -Laplacian is given by $$(-Δ)_p^su(\vec x)=C_1(n,s,p)\int_{\mathbb R^n}\frac{|u(\vec x)-u(\vec y)|^{p-2}(u(\vec x)-…
A Non-Recursive, Dimension-Independent Schur-Decomposition Algorithm for -Dimensional Sylvester Tensor Equations
Carlota M. Cuesta, Francisco de la Hoz
In this paper we present a non-recursive direct solver, based on the Bartels-Stewart algorithm, for -dimensional Sylvester tensor equations. The method relies only on Schur deco…
A study of the reconnection of antiparallel vortices in the infinitely thin case and in the finite thickness case
Francisco de la Hoz, Sergei Iakunin
The simplest case is the reconnection of a pair of antiparallel line vortices, e.g., condensation trails of an aircraft. The vortices first undergo long wave deformation (Crow wave…
Regular Polygonal Vortex Filament Evolution and Exponential Sums
Fernando Chamizo, Francisco de la Hoz
In this paper, we give a rigorous proof for the expression of the angle between adjacent sides in the skew polygons appearing at rational times in the evolution of regular polygons…
Numerical Approximation of Riesz-Feller Operators on
Carlota M. Cuesta, Francisco de la Hoz, Ivan Girona
In this paper, we develop an accurate pseudospectral method to approximate numerically the Riesz-Feller operator on , where , and $|γ|\le\min\{α, 2 -…