Optimal averaged Padé-type approximants
نویسندگان
چکیده
Padé-type approximants are rational functions that approximate a given formal power series. Boutry [Numer. Algorithms, 33 (2003), pp 113â122] constructed correspond to the averaged Gauss quadrature rules introduced by Laurie [Math. Comp., 65 (1996), pp. 739â747]. More recently, SpaleviÄ 76 (2007), 1483â1492] proposed optimal rules, have higher degree of precision than corresponding with same number nodes. This paper defines associated rules. Numerical examples illustrate their performance.
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ژورنال
عنوان ژورنال: Electronic Transactions on Numerical Analysis
سال: 2023
ISSN: ['1068-9613', '1097-4067']
DOI: https://doi.org/10.1553/etna_vol59s145