Efficient spectral methods for PDEs with spectral fractional Laplacian
type: Item
instance of: scholarly article
title: Efficient spectral methods for PDEs with spectral fractional Laplacian
zbMATH Open document ID: 1476.65320
author: Duo Cao
author: Jie Shen
author: Chang-Tao Sheng
published in: Journal of Scientific Computing
publication date: 2021-06-15T00:00:00Z
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35S15
Mathematics Subject Classification ID: 41A58
zbMATH DE Number: 7359309
zbMATH Keywords: spectral fractional Laplacian
zbMATH Keywords: Fourier-like basis function
zbMATH Keywords: spectral method
zbMATH Keywords: error analysis
Wikidata QID: Q114225605
MaRDI profile type: Publication
full work available at URL: s10915-021-01491-2
OpenAlex ID: W3165128376
cites work: Hybrid Finite Element--Spectral Method for the Fractional Laplacian: Approximation Theory and Efficient Solver
cites work: Analysis and Approximation of a Fractional Cahn--Hilliard Equation
cites work: Tensor FEM for spectral fractional diffusion
cites work: Numerical methods for fractional diffusion
cites work: Numerical approximation of fractional powers of elliptic operators
cites work: Q4748596
cites work: Fourier spectral methods for fractional-in-space reaction-diffusion equations
cites work: An Efficient Implicit FEM Scheme for Fractional-in-Space Reaction-Diffusion Equations
cites work: An Extension Problem Related to the Fractional Laplacian
cites work: Applications of semi-implicit Fourier-spectral method to phase field equations
cites work: Superconvergence of \(C^0-Q^k\) finite element method for elliptic equations with approximated coefficients
cites work: Q3126800
cites work: Spectral Methods and Their Applications
cites work: Optimal spectral-Galerkin methods using generalized Jacobi polynomials
cites work: Analysis of numerical methods for spectral fractional elliptic equations based on the best uniform rational approximation
cites work: Q3421758
cites work: Fractional powers of dissipative operators
cites work: Jacobian-free Newton-Krylov methods: a survey of approaches and applications.
cites work: Q5664249
cites work: What is the fractional Laplacian? A comparative review with new results
cites work: A PDE approach to fractional diffusion in general domains: a priori error analysis
cites work: A PDE approach to space-time fractional parabolic problems
cites work: Efficient Spectral-Galerkin Method I. Direct Solvers of Second- and Fourth-Order Equations Using Legendre Polynomials
cites work: A New Dual-Petrov-Galerkin Method for Third and Higher Odd-Order Differential Equations: Application to the KDV Equation
cites work: Spectral Methods
cites work: Fourierization of the Legendre-Galerkin method and a new space-time spectral method
cites work: A fractional phase-field model for two-phase flows with tunable sharpness: algorithms and simulations
cites work: Computing Fractional Laplacians on Complex-Geometry Domains: Algorithms and Simulations
cites work: Extension Problem and Harnack's Inequality for Some Fractional Operators
cites work: Q5680973
cites work: Convergence of Spectral Methods for Burgers’ Equation
cites work: High Accuracy Spectral Method for the Space-Fractional Diffusion Equations
DOI: 10.1007/S10915-021-01491-2
description: scientific article; zbMATH DE number 7359309