Approximation of Integral Fractional Laplacian and Fractional PDEs via sinc-Basis
From MaRDI portal
Publication:5010238
DOI10.1137/20M1374122OpenAlexW3190939655WikidataQ114074141 ScholiaQ114074141MaRDI QIDQ5010238
Ludwig Striet, Harbir Antil, Patrick W. Dondl
Publication date: 25 August 2021
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.06509
Analysis of algorithms and problem complexity (68Q25) Graph theory (including graph drawing) in computer science (68R10) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)
Related Items (4)
Convergence of level sets in fractional Laplacian regularization ⋮ Analysis of a sinc-Galerkin Method for the Fractional Laplacian ⋮ A Grid-Overlay Finite Difference Method for the Fractional Laplacian on Arbitrary Bounded Domains ⋮ Fractional elliptic problems on Lipschitz domains: regularity and approximation
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Nonlinear total variation based noise removal algorithms
- Nonlocal diffusion and applications
- Hitchhiker's guide to the fractional Sobolev spaces
- \(\Gamma \)-convergence for nonlocal phase transitions
- Ten equivalent definitions of the fractional Laplace operator
- The Galerkin finite element method for a multi-term time-fractional diffusion equation
- Slow motion of particle systems as a limit of a reaction-diffusion equation with half-Laplacian in dimension one
- Shannon wavelets theory
- Summary of Sinc numerical methods
- Finite element approximation for the fractional eigenvalue problem
- Numerical approximation of the integral fractional Laplacian
- Accurate numerical methods for two and three dimensional integral fractional Laplacian with applications
- Getting acquainted with the fractional Laplacian
- A mesh-free pseudospectral approach to estimating the fractional Laplacian via radial basis functions
- What is the fractional Laplacian? A comparative review with new results
- Spectral approximation of fractional PDEs in image processing and phase field modeling
- A PDE approach to fractional diffusion in general domains: a priori error analysis
- Fractional Cahn-Hilliard, Allen-Cahn and porous medium equations
- Fractional calculus and Sinc methods
- From the long jump random walk to the fractional Laplacian
- A Fractional Laplace Equation: Regularity of Solutions and Finite Element Approximations
- Extension Problem and Harnack's Inequality for Some Fractional Operators
- On the slowness of phase boundary motion in one space dimension
- $hp$-Finite Elements for Fractional Diffusion
- Towards an Efficient Finite Element Method for the Integral Fractional Laplacian on Polygonal Domains
- Metastable patterns in solutions of ut = ϵ2uxx − f(u)
- Analysis and Approximation of a Fractional Cahn--Hilliard Equation
- A Unified Meshfree Pseudospectral Method for Solving Both Classical and Fractional PDEs
- Bilevel optimization, deep learning and fractional Laplacian regularization with applications in tomography
- A Simple Solver for the Fractional Laplacian in Multiple Dimensions
- External optimal control of nonlocal PDEs
- Sobolev Spaces with Non-Muckenhoupt Weights, Fractional Elliptic Operators, and Applications
- An Extension Problem Related to the Fractional Laplacian
- Whittaker's Cardinal Function in Retrospect
- Methods of conjugate gradients for solving linear systems
- Numerical methods for fractional diffusion
This page was built for publication: Approximation of Integral Fractional Laplacian and Fractional PDEs via sinc-Basis