Spectral analysis of matrices in B-spline Galerkin methods for Riesz fractional equations
DOI10.1007/978-981-19-7716-9_4MaRDI QIDQ6612886
Carla Manni, Mariarosa Mazza, Hendrik Speleers, Marco Donatelli
Publication date: 1 October 2024
Numerical computation using splines (65D07) Fractional derivatives and integrals (26A33) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional ordinary differential equations (34A08) Toeplitz, Cauchy, and related matrices (15B05) Fractional partial differential equations (35R11)
Cites Work
- Unnamed Item
- Unnamed Item
- Gauss-Jacobi-type quadrature rules for fractional directional integrals
- On the spectrum of stiffness matrices arising from isogeometric analysis
- A circulant preconditioner for fractional diffusion equations
- Fast preconditioned iterative methods for finite volume discretization of steady-state space-fractional diffusion equations
- High-order finite element methods for time-fractional partial differential equations
- Spectral analysis and structure preserving preconditioners for fractional diffusion equations
- Foundations of spline theory: B-splines, spline approximation, and hierarchical refinement
- Finite difference approximations for fractional advection-dispersion flow equations
- A finite element formulation preserving symmetric and banded diffusion stiffness matrix characteristics for fractional differential equations
- A multiscale collocation method for fractional differential problems
- B-spline collocation discretizations of Caputo and Riemann-Liouville derivatives: a matrix comparison
- Application of optimal spline subspaces for the removal of spurious outliers in isogeometric discretizations
- Isogeometric collocation method for the fractional Laplacian in the 2D bounded domain
- Optimal B-spline bases for the numerical solution of fractional differential problems
- Spectral analysis and spectral symbol of matrices in isogeometric collocation methods
- Symbol-Based Multigrid Methods for Galerkin B-Spline Isogeometric Analysis
- A Generalized Spectral Collocation Method with Tunable Accuracy for Fractional Differential Equations with End-Point Singularities
- Generalized Locally Toeplitz Sequences: Theory and Applications
- Spectral Analysis and Multigrid Methods for Finite Volume Approximations of Space-Fractional Diffusion Equations
- A Spectral Method (of Exponential Convergence) for Singular Solutions of the Diffusion Equation with General Two-Sided Fractional Derivative
- Isogeometric Analysis
- Optimal chemotherapy and immunotherapy schedules for a cancer‐obesity model with Caputo time fractional derivative
- Fractional Splines and Wavelets
- Optimal Regularity and Error Estimates of a Spectral Galerkin Method for Fractional Advection-Diffusion-Reaction Equations
- Regularity of the solution to Riesz-type fractional differential equation
- A class of second order difference approximations for solving space fractional diffusion equations
- Variational formulation for the stationary fractional advection dispersion equation
- On the matrices in B‐spline collocation methods for Riesz fractional equations and their spectral properties
- A practical guide to splines.
This page was built for publication: Spectral analysis of matrices in B-spline Galerkin methods for Riesz fractional equations