Cover Image

On the best convergence rates of lightning plus polynomial approximations

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Xiang, Shuhuang, Yang, Shunfeng, Wu, Yanghao
Format:	Preprint
Published:	2023
Subjects:	Numerical Analysis 41A20, 65E05, 65D15, 30C10
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

The root-exponential convergence of lightning plus polynomial approximation on corner domains
by: Xiang, Shuhuang, et al.
Published: (2024)

Exact convergence rates of lightning plus polynomial approximation for branch singularities with uniform exponentially clustered poles
by: Xiang, Shuhuang, et al.
Published: (2025)

Lightning Plus Polynomial Approximation: Optimal Root-Exponential Convergence for Singular Functions in Corner Domains
by: Xiang, Shuhuang, et al.
Published: (2026)

Computation of Zolotarev rational functions
by: Trefethen, Lloyd N., et al.
Published: (2024)

Neural network-based singularity detection and applications
by: Derevianko, Nadiia, et al.
Published: (2025)

Average case tractability of multivariate approximation with Gevrey type kernels
by: Lu, Wanting, et al.
Published: (2024)

Lattice algorithms for multivariate approximation in periodic spaces with general weight parameters
by: Cools, Ronald, et al.
Published: (2019)

Quadrature by Two Expansions: Evaluating Laplace Layer Potentials using Complex Polynomial and Plane Wave Expansions
by: Ding, Lingyun, et al.
Published: (2019)

A Bivariate Spline Construction of Orthonormal Polynomials over Polygonal Domains and Its Applications to Quadrature
by: Lai, Ming-Jun
Published: (2026)

A lattice algorithm with multiple shifts for function approximation in Korobov spaces
by: Cai, Mou, et al.
Published: (2025)

Compression using Quasi-Interpolation
by: Buhmann, Martin, et al.
Published: (2024)

Tree-Adaptive Multiscale Kernel Lasso in Samplet Coordinates
by: Avesani, Sara, et al.
Published: (2026)

Optimal quadrature errors and sampling numbers for Sobolev spaces with logarithmic perturbation on spheres
by: Geng, Jiaxin, et al.
Published: (2024)

How sharp are error bounds? --lower bounds on quadrature worst-case errors for analytic functions
by: Goda, Takashi, et al.
Published: (2024)

Stable evaluation of derivatives for barycentric and continued fraction representations of rational functions
by: Driscoll, Tobin A., et al.
Published: (2026)

A convergence analysis of Lawson's iteration for computing polynomial and rational minimax approximations
by: Zhang, Lei-Hong, et al.
Published: (2024)

Sparse and low-rank approximations of parametric elliptic PDEs: the best of both worlds
by: Bachmayr, Markus, et al.
Published: (2025)

Hard thresholding hyperinterpolation over general regions
by: An, Congpei, et al.
Published: (2022)

Multivariate Splines and Their Applications
by: Lai, Ming-Jun
Published: (2024)

Hyperbolic trigonometric functions as approximation kernels and their properties II: Wavelets
by: Buhmann, M., et al.
Published: (2025)

Analysis and convergence of Hermite subdivision schemes
by: Han, Bin
Published: (2020)

Hybrid hyperinterpolation over general regions
by: An, Congpei, et al.
Published: (2023)

Convergence analysis of Hermite approximations for analytic functions
by: Wang, Haiyong, et al.
Published: (2023)

Quasi-interpolation for high-dimensional function approximation
by: Gao, Wenwu, et al.
Published: (2024)

Rounding error using low precision approximate random variables
by: Sheridan-Methven, Oliver, et al.
Published: (2020)

Hyperinterpolation beyond exact cubature: a spectral multiplier approach
by: Wu, Hao-Ning
Published: (2026)

Applications of AAA rational approximation
by: Nakatsukasa, Yuji, et al.
Published: (2025)

Generalized local polynomial reproductions
by: Hangelbroek, Thomas, et al.
Published: (2024)

Analysis and conditional optimization of projection estimates for distribution of random variable using Legendre polynomials
by: Averina, Tatyana A., et al.
Published: (2025)

Generalized convergence of the deep BSDE method: a step towards fully-coupled FBSDEs and applications in stochastic control
by: Negyesi, Balint, et al.
Published: (2024)

Multigoal-oriented adaptive finite element method with convergence rates
by: Becker, Roland, et al.
Published: (2026)

Weighted least $\ell_p$ approximation on compact Riemannian manifolds
by: Li, Jiansong, et al.
Published: (2024)

Randomized least-squares with minimal oversampling and interpolation in general spaces
by: Chkifa, Abdellah, et al.
Published: (2023)

Applications of QR-based Vector-Valued Rational Approximation
by: Dirckx, Simon
Published: (2026)

$\mathcal{H}^2$-matrices for translation-invariant kernel functions
by: Börm, Steffen, et al.
Published: (2022)

An Adaptive Sampling Algorithm for Level-set Approximation
by: Croci, Matteo, et al.
Published: (2025)

Convergence and Near-optimal Sampling for Multivariate Function Approximations in Irregular Domains via Vandermonde with Arnoldi
by: Zhu, Wenqi, et al.
Published: (2023)

A convex dual problem for the rational minimax approximation and Lawson's iteration
by: Zhang, Lei-Hong, et al.
Published: (2023)

Algorithms for pointwise and piecewise polynomial approximations to the trigonometric functions
by: Phuong, Quan Le
Published: (2025)

Multivariate Generalized Hermite Subdivision Schemes
by: Han, Bin
Published: (2021)