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Uniqueness of the Gaussian Quadrature for a Ball
| Content Provider | Semantic Scholar |
|---|---|
| Author | Bojanov, Borislav |
| Copyright Year | 2000 |
| Abstract | We construct a formula for numerical integration of functions over the unit ball in R that uses n Radon projections of these functions and is exact for all algebraic polynomials in R of degree 2n&1. This is the highest algebraic degree of precision that could be achieved by an n term integration rule of this kind. We prove the uniqueness of this quadrature. In particular, we present a quadrature formula for a disk that is based on line integrals over n chords and integrates exactly all bivariate polynomials of degree 2n&1. 2000 Academic Press |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.math.tamu.edu/~gpetrova/BBGP3.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Algebraic equation Bivariate data Gaussian quadrature Newton–Cotes formulas Normal Statistical Distribution Numerical analysis Numerical integration Polynomial Projections and Predictions Radon |
| Content Type | Text |
| Resource Type | Article |
