Name
Abstract | ||
|---|---|---|
For analytic functions the remainder term of Gaussian quadrature formula and its Kronrod extension can be represented as a contour integral with a complex kernel. We study these kernels on elliptic contours with foci at the points +/-1 and the sum of semi-axes @r1 for the Chebyshev weight functions of the first, second and third kind, and derive representation of their difference. Using this representation and following Kronrod's method of obtaining a practical error estimate in numerical integration, we derive new error estimates for Gaussian quadratures. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1016/j.cam.2009.02.048 | J. Computational Applied Mathematics |
Keywords | Field | DocType |
complex kernel,new error estimate,kronrod extension,practical error estimate,derive representation,gaussian quadrature formula,analytic function,chebyshev weight function,gaussian quadratures,elliptic contour,numerical integration,gaussian quadrature,weight function,contour integration,primary | Weight function,Mathematical analysis,Analytic function,Numerical integration,Methods of contour integration,Remainder,Gaussian,Numerical analysis,Gaussian quadrature,Mathematics | Journal |
Volume | Issue | ISSN |
233 | 3 | 0377-0427 |
Citations | PageRank | References |
1 | 0.39 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Gradimir V. Milovanović | 1 | 45 | 11.62 |
| Miodrag M. Spalevic | 2 | 51 | 9.97 |
| Miroslav S. Pranic | 3 | 20 | 3.64 |