4 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 $$(-Î)_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…
Numerical approximation of Caputo-type advection-diffusion equations in one and multiple spatial dimensions via shifted Chebyshev polynomials
Francisco de la Hoz, Peru Muniain
In this paper, using a pseudospectral approach, we develop operational matrices based on the shifted Chebyshev polynomials to approximate numerically Caputo fractional derivatives…
Numerical approximation of Caputo-type advection-diffusion equations via Sylvester equations
Francisco de la Hoz, Peru Muniain
In this paper, we approximate numerically the solution of Caputo-type advection-diffusion equations of the form $D_t^α u(t,x) = a_1(x)u_{xx}(t,x) + a_2(x)u_x(t,x) + a_3u(t,x) + a_…