On the zero-stability of the 3-step BDF-formula on nonuniform grids
β Scribed by R. D. Grigorieff; P. J. Paes-Leme
- Publisher
- Springer Netherlands
- Year
- 1984
- Tongue
- English
- Weight
- 298 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0006-3835
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π SIMILAR VOLUMES
The main object of this paper is to construct a new quadrature formula based on the zeros of the polynomial (1 -x2)P(a'f~)(x)P(a'B)' (x), where P(a'f~)(x) is the Jacobi polynomial of degree n. It is interesting to mention that this quadrature formula is closely related to the wellknown Gaussian Quad
The main object of this paper is to construct a Birkhoff quadrature formula of the form which is exact for the polynomials of degree < 2n + 2k + 1. We construct the formula when the nodes {Xi}; and {zt}F-' are the zeros of the ultraspherical polynomials P~k'(z) and P,$""(z), respectively.