Cover Image

Fast and accurate computation of classical Gaussian quadratures

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Gil, A., Segura, J., Temme, N. M.
Format:	Preprint
Published:	2025
Subjects:	Numerical Analysis Mathematical Software Classical Analysis and ODEs 65D32, 65-04, 41A60, 65H05
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Integral Representations for Computing Real Parabolic Cylinder Functions
by: Gil, Amparo, et al.
Published: (2004)

On Non-Oscillating Integrals for Computing Inhomogeneous Airy Functions
by: Gil, Amparo, et al.
Published: (2001)

Modified Trapezoidal Product Cubature Rules. Definiteness, Monotonicity and a Posteriori Error Estimates
by: Nikolov, Geno, et al.
Published: (2024)

Numerical and Asymptotic Aspects of Parabolic Cylinder Functions
by: Temme, Nico M.
Published: (2001)

Complex generalized Gauss-Radau quadrature rules for Hankel transforms of integer order
by: Wang, Haiyong, et al.
Published: (2024)

McMahon-type asymptotic expansions of the zeros of the Coulomb wave functions
by: Gil, Amparo, et al.
Published: (2024)

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

Uniform relations between the Gauss-Legendre nodes and weights
by: Pouso, Óscar López, et al.
Published: (2023)

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

On the critical length conjecture for spherical Bessel functions in CAGD
by: Kounchev, Ognyan, et al.
Published: (2025)

A Generalised Trapezoid Type Inequality for Convex Functions
by: Dragomir, Sever Silvestru
Published: (2003)

An Ostrowski Type Inequality for Convex Functions
by: Dragomir, Sever Silvestru
Published: (2003)

Estimates of linear expressions through factorization
by: Ali, Ali Hasan, et al.
Published: (2024)

Piecewise-polynomial interpolations and quadratures for parametric PDEs with log-Laplace random inputs
by: Dũng, Dinh
Published: (2026)

A Version of Simpson's Rule for Multiple Integrals
by: Horwitz, Alan
Published: (1999)

A Golub-Welsch version for simultaneous Gaussian quadrature
by: Van Assche, Walter
Published: (2023)

Error inequalities for an optimal 3-point quadrature formula of closed type
by: Ujevic, Nenad
Published: (2003)

Numerical algorithms for the real zeros of hypergeometric functions
by: Gil, Amparo, et al.
Published: (2004)

Computing solutions of the modified Bessel differential equation for imaginary orders and positive arguments
by: Gil, Amparo, et al.
Published: (2004)

Locally supported, quasi-interpolatory bases for the approximation of functions on graphs
by: Fuselier, Edward J., et al.
Published: (2021)

Asymptotic analysis of the normal inverse Gaussian cumulative distribution
by: Temme, Nico M.
Published: (2025)

Error autocorrection in rational approximation and interval estimates
by: Litvinov, Grigori L.
Published: (2002)

Spherical configurations and quadrature methods for integral equations of the second kind
by: An, Congpei, et al.
Published: (2024)

ideal.II: a Galerkin Space-Time Extension to the Finite Element Library deal.II
by: Thiele, Jan Philipp
Published: (2024)

Sparsity for parametric PDEs with log-gamma random inputs and applications
by: Dũng, Dinh, et al.
Published: (2026)

Meshless moment-free quadrature formulas arising from numerical differentiation
by: Davydov, Oleg, et al.
Published: (2024)

Polynomial approximation on $C^2$-domains
by: Dai, Feng, et al.
Published: (2022)

Optimal quadrature for weighted function spaces on multivariate domains
by: Li, Jiansong, et al.
Published: (2024)

Quantum Trigonometric Bézier Curves
by: Dişibüyük, Çetin
Published: (2025)

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

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

Fast algorithms for interpolation with clamped $L$-splines of order four
by: Kounchev, O., et al.
Published: (2026)

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

The path of hyperinterpolation: A survey
by: An, Congpei, et al.
Published: (2025)

A median QMC method for unbounded integrands over $\mathbb{R}^{s}$ in weighted unanchored Sobolev spaces
by: Ye, Ziyang, et al.
Published: (2025)

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

Sharp van der Corput estimates and minimal divided differences
by: Rogers, Keith
Published: (2003)

Parameterizing Intersecting Surfaces via Invariants
by: Gutleb, Timon S., et al.
Published: (2024)

Fast expansion into harmonics on the ball
by: Kileel, Joe, et al.
Published: (2024)

A naive integral
by: de Reyna, Juan Arias
Published: (2024)