On the Smolyak cubature error for analytic functions
β Scribed by Knut Petras
- Book ID
- 110379289
- Publisher
- Springer
- Year
- 2000
- Tongue
- English
- Weight
- 198 KB
- Volume
- 12
- Category
- Article
- ISSN
- 1019-7168
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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 Β±1 and the sum of semi-axes > 1 for the Chebyshev weight functions of
We derive in a simple way certain minimal cubature formulae, obtained by Morrow and Patterson [2], and Xu [4], using a different technique. We also obtain in explicit form new near minimal cubature formulae. Then, as a corollary, we get a compact expression for the bivariate Lagrange interpolation p