Cover Image

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

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Constantin, Loïc, Cuesta, Carlota M., de la Hoz, Francisco
Format:	Preprint
Published:	2026
Subjects:	Numerical Analysis 65N35, 35R11, 65M70, 65F15, 65D25
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Rational approximation to the fractional Laplacian operator in reaction-diffusion problems
by: Aceto, Lidia, et al.
Published: (2016)

Lipschitz regularity of fractional $p$-Laplacian
by: Biswas, Anup, et al.
Published: (2025)

Mesh-free numerical method for Dirichlet eigenpairs of the Laplacian with potential
by: Manea, Dragoş
Published: (2026)

Approximation of higher-order powers of the spectral fractional Laplacian via polyharmonic extension
by: Otárola, Enrique, et al.
Published: (2026)

Approximating and preconditioning the stiffness matrix in the GoFD approximation of the fractional Laplacian
by: Huang, Weizhang, et al.
Published: (2024)

A minimax method for the spectral fractional Laplacian and related evolution problems
by: Carrillo, José A., et al.
Published: (2025)

FEM for 1D-problems involving the logarithmic Laplacian: error estimates and numerical implementation
by: Hernández-Santamaría, Víctor, et al.
Published: (2023)

A Predictor Corrector Convex Splitting Method for Stefan Problems Based on Extreme Learning Machines
by: Lang, Siyuan, et al.
Published: (2026)

Local discontinuous Galerkin method for the integral fractional Laplacian
by: Han, Rubing, et al.
Published: (2025)

Energy Stable and Structure-Preserving Algorithms for the Stochastic Galerkin System of 2D Shallow Water Equations
by: Epshteyn, Yekaterina, et al.
Published: (2024)

Adaptive finite element approximations of the first eigenpair associated with $p$-Laplacian
by: Li, Guanglian, et al.
Published: (2024)

A time dependent fractional order diffusion equation with constant diffusivity matrix
by: Catoe, T., et al.
Published: (2026)

A novel mixed spectral method with ball polynomials for the Biharmonic equation on a unit ball
by: Gao, Mengxue, et al.
Published: (2026)

A simple and fast finite difference method for the integral fractional Laplacian of variable order
by: Hao, Zhaopeng, et al.
Published: (2024)

Optimal error bounds on an exponential wave integrator Fourier spectral method for fractional nonlinear Schrödinger equations with low regularity potential and nonlinearity
by: Jia, Junqing, et al.
Published: (2024)

Higher-Order Generalized Finite Differences for Variable Coefficient Diffusion Operators
by: Kraus, Heinrich, et al.
Published: (2023)

Asymptotic spectral properties and preconditioning of an approximated nonlocal Helmholtz equation with Caputo fractional Laplacian and variable coefficient wave number $μ$
by: Adriani, Andrea, et al.
Published: (2024)

Numerical identification of the time-dependent coefficient in the heat equation with fractional Laplacian
by: Altybay, Arshyn, et al.
Published: (2025)

A grid-overlay finite difference method for the fractional Laplacian on arbitrary bounded domains
by: Huang, Weizhang, et al.
Published: (2023)

Structure-preserving scheme for fractional nonlinear diffusion equations
by: Hivert, Hélène, et al.
Published: (2024)

At the intersection of Numerical Analysis and Spectral Geometry
by: Nigam, Nilima
Published: (2025)

Subordination based approximation of Caputo fractional propagator and related numerical methods
by: Sytnyk, Dmytro
Published: (2025)

A numerical study for tempered time-fractional advection-dispersion equation on graded meshes
by: Huang, Liangcai, et al.
Published: (2026)

Linearization-based direct reconstruction for EIT using triangular Zernike decompositions
by: Autio, Antti, et al.
Published: (2024)

Finite Elements with weighted bases for the fractional Laplacian
by: del Teso, Félix, et al.
Published: (2025)

The Infinity Laplacian eigenvalue problem: reformulation and a numerical scheme
by: Bozorgnia, Farid, et al.
Published: (2020)

Convergence of a moving window method for the Schrödinger equation with potential on $\mathbb{R}^d$
by: Iserles, Arieh, et al.
Published: (2024)

Meshfree finite difference solution of homogeneous Dirichlet problems of the fractional Laplacian
by: Shen, Jinye, et al.
Published: (2024)

Optimal error bounds on the exponential integrator for dispersive equations with highly concentrated potential
by: Bal, Guillaume, et al.
Published: (2026)

A sixth-order compact time-splitting Fourier pseudospectral method
by: Gao, Weiguo, et al.
Published: (2026)

Hölder regularity for the fractional p-Laplacian, revisited
by: Cassanello, Filippo, et al.
Published: (2024)

Error estimates of a regularized finite difference method for the Logarithmic Schrödinger equation with Dirac delta potential
by: Zhou, Xuanxuan, et al.
Published: (2024)

A least squares finite element method for backward parabolic problems
by: Monsuur, Harald
Published: (2025)

A numerical method for scattering problems with unbounded interfaces
by: Goodwill, Tristan, et al.
Published: (2024)

$C^{1+α}$ regularity for fractional $p$-harmonic functions
by: Giovagnoli, Davide, et al.
Published: (2025)

On the relation between Galerkin approximations and canonical best-approximations of solutions to some non-linear Schrödinger equations
by: Hassan, Muhammad, et al.
Published: (2025)

Discontinuous Galerkin approximation for a Stokes-Brinkman-type formulation for the eigenvalue problem in porous media
by: Lepe, Felipe, et al.
Published: (2025)

A preconditioned boundary value method for advection-diffusion equations with half Laplacian via spectrum doubling
by: Yuan, Pu, et al.
Published: (2025)

Filtered Lie-Trotter splitting for the "good" Boussinesq equation: low regularity error estimates
by: Ji, Lun, et al.
Published: (2024)

Maximum principle preserving time implicit DGSEM for nonlinear scalar conservation laws
by: Renac, Florent
Published: (2024)