Cover Image

Spectral Approximation to Fractional Integral Operators

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Liu, Xiaolin, Xu, Kuan
Format:	Preprint
Published:	2025
Subjects:	Numerical Analysis
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Fractional calculus via variable-transform-based spectral approximations
by: Liu, Xiaolin, et al.
Published: (2026)

Spectral approximation of convolution operators of Fredholm type
by: Liu, Xiaolin, et al.
Published: (2024)

Super-Exponential Approximation of the Riemann-Liouville Fractional Integral via Gegenbauer-Based Fractional Approximation Methods
by: Elgindy, Kareem T.
Published: (2025)

Universal Approximation of Operators with Transformers and Neural Integral Operators
by: Zappala, Emanuele, et al.
Published: (2024)

Spectral Neural Operators
by: Fanaskov, V., et al.
Published: (2022)

Exponential Convergence of $hp$-FEM for the Integral Fractional Laplacian on cuboids
by: Bahr, Björn, et al.
Published: (2026)

On the Compressibility of Integral Operators in Anisotropic Wavelet Coordinates
by: Harbrecht, Helmut, et al.
Published: (2025)

Revisiting Diffusive Representations for Enhanced Numerical Approximation of Fractional Integrals
by: Chaudhary, Renu, et al.
Published: (2023)

Parametric Shape Holomorphy of Boundary Integral Operators with Applications
by: Dölz, Jürgen, et al.
Published: (2023)

A τ Matrix Based Approximate Inverse Preconditioning for Tempered Fractional Diffusion Equations
by: Zhang, Xuan, et al.
Published: (2024)

Approximations with Non-Symmetric Green's Kernels and their Application to Fractional Differential Equations
by: Fisher, Nick
Published: (2026)

Numerical Treatment of Non-local Integral Operators in the Framework of Evolutionary Equations
by: Franz, Sebastian, et al.
Published: (2026)

Solving Convolution-type Integral Equations using Preconditioned Neural Operators
by: Chan, Raymond, et al.
Published: (2026)

Spectral Audit of In-Context Operator Networks
by: Gao, Zhiwei, et al.
Published: (2026)

Approximation by Certain Complex Nevai Operators : Theory and Applications
by: Majethiya, Priyanka, et al.
Published: (2025)

Improved Convergence and Approximation properties of Baskakov-Durrmeyer Operators
by: Kaur, Jaspreet, et al.
Published: (2024)

Discontinuity Analysis and Semi-Analytic Spectral Approximation for the Nonlocal Poisson Equation
by: Dang, Thinh, et al.
Published: (2026)

Numerical Identification of a Time-Dependent Coefficient in a Time-Fractional Diffusion Equation with Integral Constraints
by: Altybay, Arshyn
Published: (2025)

Diffusive Representations for the Numerical Evaluation of Fractional Integrals
by: Diethelm, Kai
Published: (2023)

A Spectral Localization Method for Time-Fractional Integro-Differential Equations with Nonsmooth Data
by: Zhao, Lijing, et al.
Published: (2025)

An Efficient Exponential Sum Approximation of Power-Law Kernels for Solving Fractional Differential Equation
by: Chaudhary, Renu, et al.
Published: (2025)

Hybrid Shifted Gegenbauer Integral-Pseudospectral Method for Solving Time-Fractional Benjamin-Bona-Mahony-Burgers Equation
by: Elgindy, Kareem T.
Published: (2025)

Spectral Analysis of Discretized Boundary Integral Operators in 3D: a High-Frequency Perspective
by: Giunzioni, V., et al.
Published: (2025)

Parameter-robust Preconditioners for the Stokes-Darcy Coupled Problem without Fractional Operators
by: Boon, Wietse M., et al.
Published: (2025)

From Frequency Bias to Spectral Balance: Operator-Aware Preconditioners for PINNs
by: He, Roy Y., et al.
Published: (2026)

Approximating Analytic Spectra of Hyperbolic Systems with Summation-by-Parts Finite Difference Operators
by: Erickson, Brittany A.
Published: (2024)

Integral boundary conditions in phase field models
by: Xu, Xiaofeng, et al.
Published: (2021)

Integral Operator Approaches for Scattered Data Fitting on Spheres
by: Lin, Shao-Bo
Published: (2024)

SpectraKAN: Conditioning Spectral Operators
by: Cheng, Chun-Wun, et al.
Published: (2026)

Approximating the Perfect Sampling Grids for Computing the Eigenvalues of Toeplitz-like Matrices Using the Spectral Symbol
by: Ekström, Sven-Erik
Published: (2019)

Spectral methods for Neural Integral Equations
by: Zappala, Emanuele
Published: (2023)

A new banded Petrov--Galerkin spectral method
by: Qin, Ouyuan, et al.
Published: (2025)

Neural Operators with Localized Integral and Differential Kernels
by: Liu-Schiaffini, Miguel, et al.
Published: (2024)

A Numerical Study of Combining RBF Interpolation and Finite Differences to Approximate Differential Operators
by: Rogan, Adrijan, et al.
Published: (2025)

On the Convergence of a Spline Collocation Method for Nonlinear Fractional Boundary Value Problems with the Riesz-Caputo Operator
by: Sorgentone, Chiara, et al.
Published: (2026)

Stability of Wall Boundary Condition Procedures for Discontinuous Galerkin Spectral Element Approximations of the Compressible Euler Equations
by: Hindenlang, Florian J., et al.
Published: (2019)

Accelerating Fractional PINNs using Operational Matrices of Derivative
by: Taheri, Tayebeh, et al.
Published: (2024)

Operator SVD with Neural Networks via Nested Low-Rank Approximation
by: Ryu, J. Jon, et al.
Published: (2024)

A continuous approach to computing the pseudospectra of linear operators
by: Deng, Kuan, et al.
Published: (2024)

Integral Representations of Sobolev Spaces via ReLU$^k$ Activation Function and Optimal Error Estimates for Linearized Networks
by: Liu, Xinliang, et al.
Published: (2025)