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Rational interpolation using Levin-Weniger transforms
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DOI：10.1016/S0010-4655(96)00169-5.png)
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Rational interpolation formulas are developed using Levin and Weniger transforms. The difficulty of solving sets of nonlinear equations to obtain these formulas is obviated by a new linearization prescription which is used iteratively. A comparative study on some test functions reveals that these interpolation formulas work better than the ones obtained from Fade-type rational interpolation. Among the different interpolants obtained with the Levin-Weniger transforms, those obtained with the Weniger tau-transform are found to better approximate test functions over the range of interpolation.
Keyword:
Levin-Weniger transforms
rational interpolation
linearization prescription
Pade approximants
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3.4
论文数:
1.2W
被引数:
3.7W
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