Carlota M. Cuesta

collaborators

3 papers

math.NA2026

A matrix-based spectral method for the numerical approximation of the fractional Laplacian and the fractional $p$ -Laplacian of functions defined on $R^{n}$

Loïc Constantin, Carlota M. Cuesta, Francisco de la Hoz

Given a function $u$ defined on $R^{n}$ , its fractional $p$ -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)-…

math.NA2024

A Non-Recursive, Dimension-Independent Schur-Decomposition Algorithm for $N$ -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 $N$ -dimensional Sylvester tensor equations. The method relies only on Schur deco…

math.NA2024

Numerical Approximation of Riesz-Feller Operators on $R$

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 $D_{γ}^{α}$ on $R$ , where $α \in (0, 2)$ , and $|γ|\le\min\{α, 2 -…

A matrix-based spectral method for the numerical approximation of the fractional Laplacian and the fractional p-Laplacian of functions defined on Rn

A Non-Recursive, Dimension-Independent Schur-Decomposition Algorithm for N-Dimensional Sylvester Tensor Equations

Numerical Approximation of Riesz-Feller Operators on R

A matrix-based spectral method for the numerical approximation of the fractional Laplacian and the fractional $p$ -Laplacian of functions defined on $R^{n}$

A Non-Recursive, Dimension-Independent Schur-Decomposition Algorithm for $N$ -Dimensional Sylvester Tensor Equations

Numerical Approximation of Riesz-Feller Operators on $R$