Efficient cubature rules
type: Item
instance of: scholarly article
title: Efficient cubature rules
zbMATH Open document ID: 1431.65021
author: James R. van Zandt
publication date: 2019-08-30T00:00:00Z
full work available at URL: https://arxiv.org/abs/1712.07309
full work available at URL: http://etna.mcs.kent.edu/volumes/2011-2020/vol51/abstract.php
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 65D30
Mathematics Subject Classification ID: 41A55
Mathematics Subject Classification ID: 41A63
zbMATH DE Number: 7099944
zbMATH Keywords: multiple integrals
zbMATH Keywords: Gaussian weight
zbMATH Keywords: cubature formula
zbMATH Keywords: integration rule
zbMATH Keywords: numerical integration
zbMATH Keywords: regular simplex
describes a project that uses: Maxima
describes a project that uses: PATSYM
describes a project that uses: HRMSYM
describes a project that uses: Matlab
MaRDI profile type: Publication
OpenAlex ID: W2776322175
arXiv ID: 1712.07309
cites work: Cubature Kalman Filters
cites work: A Reflective Newton Method for Minimizing a Quadratic Function Subject to Bounds on Some of the Variables
cites work: Monomial cubature rules since ``Stroud'': A compilation. II
cites work: Advances in multidimensional integration
cites work: An encyclopaedia of cubature formulas.
cites work: Monomial cubature rules since ``Stroud'': A compilation
cites work: Highly efficient sigma point filter for spacecraft attitude and rate estimation
cites work: How to Integrate a Polynomial over a Sphere
cites work: Fully symmetric interpolatory rules for multiple integrals over infinite regions with Gaussian weight
cites work: Q4739659
cites work: Construction of cubature formulas of degree eleven for symmetric planar regions, using orthogonal polynomials
cites work: Construction of Cubature Formulas of Degree Seven and Nine Symmetric Planar Regions, Using Orthogonal Polynomials
cites work: A shortest augmenting path algorithm for dense and sparse linear assignment problems
cites work: Higher-Dimensional Integration with Gaussian Weight for Applications in Probabilistic Design
cites work: Limits on the Number of Function Evaluations Required by Certain High-Dimensional Integration Rules of Hypercubic Symmetry
cites work: Moderate Degree Symmetric Quadrature Rules for the Triangle
cites work: Constructing cubature formulae of degree 5 with few points
cites work: Q3206204
cites work: QUADRATURE METHODS FOR FUNCTIONS OF MORE THAN ONE VARIABLE
cites work: Some Fifth Degree Integration Formulas for Symmetric Regions
cites work: Some fifth degree integration formulas for symmetric regions. II
cites work: Some Seventh Degree Integration Formulas for Symmetric Regions
cites work: Q4158394
cites work: Approximate Integration Formulas for Certain Spherically Symmetric Regions
cites work: Partially Symmetric Cubature Formulas for Even Degrees of Exactness
Wikidata QID: Q127440385
DOI: 10.1553/ETNA_VOL51S219
published in: ETNA - Electronic Transactions on Numerical Analysis
description: scientific article