Efficient spectral methods for PDEs with spectral fractional Laplacian
DOI10.1007/s10915-021-01491-2zbMath1476.65320OpenAlexW3165128376WikidataQ114225605 ScholiaQ114225605MaRDI QIDQ2032051
Jie Shen, Duo Cao, Chang-Tao Sheng
Publication date: 15 June 2021
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-021-01491-2
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Fractional derivatives and integrals (26A33) Boundary value problems for PDEs with pseudodifferential operators (35S15) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Fractional partial differential equations (35R11)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fourier spectral methods for fractional-in-space reaction-diffusion equations
- Fourierization of the Legendre-Galerkin method and a new space-time spectral method
- Fractional powers of dissipative operators
- Applications of semi-implicit Fourier-spectral method to phase field equations
- Jacobian-free Newton-Krylov methods: a survey of approaches and applications.
- Analysis of numerical methods for spectral fractional elliptic equations based on the best uniform rational approximation
- What is the fractional Laplacian? A comparative review with new results
- Superconvergence of \(C^0-Q^k\) finite element method for elliptic equations with approximated coefficients
- Tensor FEM for spectral fractional diffusion
- A PDE approach to fractional diffusion in general domains: a priori error analysis
- A fractional phase-field model for two-phase flows with tunable sharpness: algorithms and simulations
- Optimal spectral-Galerkin methods using generalized Jacobi polynomials
- A PDE Approach to Space-Time Fractional Parabolic Problems
- Spectral Methods
- Extension Problem and Harnack's Inequality for Some Fractional Operators
- An Efficient Implicit FEM Scheme for Fractional-in-Space Reaction-Diffusion Equations
- Convergence of Spectral Methods for Burgers’ Equation
- Spectral Methods and Their Applications
- Efficient Spectral-Galerkin Method I. Direct Solvers of Second- and Fourth-Order Equations Using Legendre Polynomials
- A New Dual-Petrov-Galerkin Method for Third and Higher Odd-Order Differential Equations: Application to the KDV Equation
- Hybrid Finite Element--Spectral Method for the Fractional Laplacian: Approximation Theory and Efficient Solver
- Analysis and Approximation of a Fractional Cahn--Hilliard Equation
- High Accuracy Spectral Method for the Space-Fractional Diffusion Equations
- Numerical approximation of fractional powers of elliptic operators
- Computing Fractional Laplacians on Complex-Geometry Domains: Algorithms and Simulations
- An Extension Problem Related to the Fractional Laplacian
- Numerical methods for fractional diffusion
This page was built for publication: Efficient spectral methods for PDEs with spectral fractional Laplacian