Name
Abstract | ||
|---|---|---|
This paper is devoted to a rigorous analysis of exponential convergence of polynomial interpolation and spectral differentiation based on the Gegenbauer-Gauss and Gegenbauer-Gauss-Lobatto points, when the underlying function is analytic on and within an ellipse. Sharp error estimates in the maximum norm are derived. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1090/S0025-5718-2012-02645-7 | MATHEMATICS OF COMPUTATION |
Keywords | Field | DocType |
Bernstein ellipse,exponential accuracy,Gegenbauer polynomials,Gegenbauer Gauss-type interpolation and quadrature,spectral differentiation,maximum error estimates | Mathematical optimization,Multivariate interpolation,Polynomial interpolation,Spline interpolation,Mathematical analysis,Interpolation,Gegenbauer polynomials,Linear interpolation,Ellipse,Exponential convergence,Mathematics | Journal |
Volume | Issue | ISSN |
82 | 282 | 0025-5718 |
Citations | PageRank | References |
6 | 0.58 | 14 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Ziqing Xie | 1 | 85 | 9.75 |
| Li-Lian Wang | 2 | 367 | 43.47 |
| Xiaodan Zhao | 3 | 54 | 8.84 |