Towards stability results for global radial basis function based quadrature formulas
type: Item
instance of: scholarly article
title: Towards stability results for global radial basis function based quadrature formulas
author: Jonah A. Reeger
author: Jan Glaubitz
published in: BIT
publication date: 2023-02-16T00:00:00Z
full work available at URL: https://arxiv.org/abs/2301.12998
Mathematics Subject Classification ID: 65D30
Mathematics Subject Classification ID: 65D32
zbMATH DE Number: 7654460
zbMATH Keywords: numerical integration
zbMATH Keywords: quadrature
zbMATH Keywords: cubature
zbMATH Keywords: radial basis functions
zbMATH Keywords: stability
zbMATH Keywords: cardinal functions
zbMATH Keywords: discrete orthogonal polynomials
describes a project that uses: RBFCUB
describes a project that uses: TESTPACK
describes a project that uses: Matlab
describes a project that uses: PMTK
describes a project that uses: Digital Library of Mathematical Functions
MaRDI profile type: Publication
OpenAlex ID: W4318472921
cites work: Numerical integration of multi-dimensional highly oscillatory, gentle oscillatory and non-oscillatory integrands based on wavelets and radial basis functions
cites work: THE PARTITION OF UNITY METHOD
cites work: Comparison of moving least squares and RBF+poly for interpolation and derivative approximation
cites work: An insight into RBF-FD approximations augmented with polynomials
cites work: Bivariate Lagrange interpolation at the Padua points: the generating curve approach
cites work: Q3001713
cites work: Bivariate Lagrange interpolation at the Padua points: The ideal theory approach
cites work: Q3095368
cites work: Probabilistic integration: a role in statistical computation?
cites work: Q4550961
cites work: Radial Basis Functions
cites work: Q4215355
cites work: RBFCUB: a numerical package for near-optimal meshless cubature on general polygons
cites work: On the stability and accuracy of least squares approximations
cites work: Optimal weighted least-squares methods
cites work: Q4356572
cites work: An encyclopaedia of cubature formulas.
cites work: Cubature formulae and orthogonal polynomials
cites work: Q5699280
cites work: Stability of kernel-based interpolation
cites work: High-dimensional integration: The quasi-Monte Carlo way
cites work: Q3875198
cites work: Q3446085
cites work: Enhancing finite differences with radial basis functions: experiments on the Navier-Stokes equations
cites work: How to Integrate a Polynomial over a Sphere
cites work: A Primer on Radial Basis Functions with Applications to the Geosciences
cites work: Solving PDEs with radial basis functions
cites work: Kernel based quadrature on spheres and other homogeneous spaces
cites work: Shock capturing and high-order methods for hyperbolic conservation laws
cites work: Stable High Order Quadrature Rules for Scattered Data and General Weight Functions
cites work: Stable high-order cubature formulas for experimental data
cites work: Stabilizing radial basis function methods for conservation laws using weakly enforced boundary conditions
cites work: Towards stable radial basis function methods for linear advection problems
cites work: Stable discretisations of high-order discontinuous Galerkin methods on equidistant and scattered points
cites work: Numerical Evaluation of Multiple Integrals
cites work: On the efficiency of certain quasi-random sequences of points in evaluating multi-dimensional integrals
cites work: Funktionen von beschränkter Variation in der Theorie der Gleichverteilung
cites work: Stable high-order quadrature rules with equidistant points
cites work: Lebesgue functions and Lebesgue constants in polynomial interpolation
cites work: Q4440838
cites work: Q5698996
cites work: Scattered data approximation by positive definite kernel functions
cites work: On the structure of function spaces in optimal recovery of point functionals for ENO-schemes by radial basis functions
cites work: Circumventing the ill-conditioning problem with multiquadric radial basis functions: Applications to elliptic partial differential equations
cites work: Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
cites work: On the positivity and magnitudes of Bayesian quadrature weights
cites work: Q4386705
cites work: A numerical study of some radial basis function based solution methods for elliptic PDEs
cites work: Simple formula for integration of polynomials on a simplex
cites work: Lebesgue function for multivariate interpolation by radial basis functions
cites work: Q4168841
cites work: Stable high-order randomized cubature formulae in arbitrary dimension
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Towards stability results for global radial basis function based quadrature formulas (DOI)
DOI: 10.1007/S10543-023-00956-0

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