Towards stability results for global radial basis function based quadrature formulas

Related Items (1)

Summation-by-Parts Operators for General Function Spaces

Uses Software

Matlab
DLMF
TESTPACK
PMTK
RBFCUB

Cites Work

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Lebesgue functions and Lebesgue constants in polynomial interpolation
On the stability and accuracy of least squares approximations
A numerical study of some radial basis function based solution methods for elliptic PDEs
On the efficiency of certain quasi-random sequences of points in evaluating multi-dimensional integrals
Funktionen von beschränkter Variation in der Theorie der Gleichverteilung
Adaptive sampling-based quadrature rules for efficient Bayesian prediction
Numerical cubature on scattered data by radial basis functions
Stability of kernel-based interpolation
Bivariate Lagrange interpolation at the Padua points: the generating curve approach
Meshless cubature by Green's formula
Lebesgue function for multivariate interpolation by radial basis functions
Meshless cubature over the disk using thin-plate splines
Bayes-Hermite quadrature
An encyclopaedia of cubature formulas.
Circumventing the ill-conditioning problem with multiquadric radial basis functions: Applications to elliptic partial differential equations
The overlapped radial basis function-finite difference (RBF-FD) method: a generalization of RBF-FD
Numerical quadrature over smooth surfaces with boundaries
Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
On the structure of function spaces in optimal recovery of point functionals for ENO-schemes by radial basis functions
Stabilizing radial basis function methods for conservation laws using weakly enforced boundary conditions
Simple formula for integration of polynomials on a simplex
RBFCUB: a numerical package for near-optimal meshless cubature on general polygons
Stable high-order randomized cubature formulae in arbitrary dimension
Stable high-order cubature formulas for experimental data
Approximate integrals over the volume of the ball
An insight into RBF-FD approximations augmented with polynomials
RBF moment computation and meshless cubature on general polygonal regions
Stable high-order quadrature rules with equidistant points
Stable discretisations of high-order discontinuous Galerkin methods on equidistant and scattered points
On the positivity and magnitudes of Bayesian quadrature weights
Probabilistic integration: a role in statistical computation?
Comparison of moving least squares and RBF+poly for interpolation and derivative approximation
Enhancing finite differences with radial basis functions: experiments on the Navier-Stokes equations
Kernel based quadrature on spheres and other homogeneous spaces
Bivariate Lagrange interpolation at the Padua points: The ideal theory approach
Numerical integration of multi-dimensional highly oscillatory, gentle oscillatory and non-oscillatory integrands based on wavelets and radial basis functions
Towards stable radial basis function methods for linear advection problems
How to Integrate a Polynomial over a Sphere
Numerical Quadrature over the Surface of a Sphere
Impossibility of Fast Stable Approximation of Analytic Functions from Equispaced Samples
Integrated radial basis functions-based differential quadrature method and its performance
A Primer on Radial Basis Functions with Applications to the Geosciences
THE PARTITION OF UNITY METHOD
Radial Basis Functions
Optimal weighted least-squares methods
A Least Squares Radial Basis Function Finite Difference Method with Improved Stability Properties
Exactness of Quadrature Formulas
Shock capturing and high-order methods for hyperbolic conservation laws
Stable High Order Quadrature Rules for Scattered Data and General Weight Functions
Solving PDEs with radial basis functions
Cubature, Approximation, and Isotropy in the Hypercube
Numerical quadrature over smooth, closed surfaces
High-dimensional integration: The quasi-Monte Carlo way
Numerical Evaluation of Multiple Integrals
Cubature formulae and orthogonal polynomials

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