Volume 16, Issue 3
Bivariate Blending Thiele-Werner's Osculatory Rational Interpolation

S. Tang & Y. Liang

Numer. Math. J. Chinese Univ. (English Ser.), 16 (2007), pp. 271-288.

Published online: 2007-08

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  • Abstract
Both the expansive Newton's interpolating polynomial and the Thiele-Werner's interpolation are used to construct a kind of bivariate blending Thiele-Werner's osculatory rational interpolation. A recursive algorithm and its characteristic properties are given. An error estimation is obtained and a numerical example is illustrated.
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@Article{NM-16-271, author = {S. Tang and Y. Liang}, title = {Bivariate Blending Thiele-Werner's Osculatory Rational Interpolation}, journal = {Numerical Mathematics, a Journal of Chinese Universities}, year = {2007}, volume = {16}, number = {3}, pages = {271--288}, abstract = {Both the expansive Newton's interpolating polynomial and the Thiele-Werner's interpolation are used to construct a kind of bivariate blending Thiele-Werner's osculatory rational interpolation. A recursive algorithm and its characteristic properties are given. An error estimation is obtained and a numerical example is illustrated.}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/nm/10071.html} }
TY - JOUR T1 - Bivariate Blending Thiele-Werner's Osculatory Rational Interpolation AU - S. Tang & Y. Liang JO - Numerical Mathematics, a Journal of Chinese Universities VL - 3 SP - 271 EP - 288 PY - 2007 DA - 2007/08 SN - 16 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/nm/10071.html KW - AB - Both the expansive Newton's interpolating polynomial and the Thiele-Werner's interpolation are used to construct a kind of bivariate blending Thiele-Werner's osculatory rational interpolation. A recursive algorithm and its characteristic properties are given. An error estimation is obtained and a numerical example is illustrated.
S. Tang and Y. Liang. (2007). Bivariate Blending Thiele-Werner's Osculatory Rational Interpolation. Numerical Mathematics, a Journal of Chinese Universities. 16 (3). 271-288. doi:
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