Optimal Averaged Pade-Type Approximants
Апстракт
Pad\'{e}-type approximants are rational functions that approximate a given formal power series. Boutry \cite{Bo} constructed Pad\'{e}-type approximants that correspond to the averaged Gauss quadrature rules introduced by Laurie \cite{La}. More recently, Spalevi\'c \cite{Sp1} proposed optimal averaged Gauss quadrature rules, that have higher degree of precision than the corresponding averaged Gauss rule, with the same number of nodes. This paper defines Pad\'e-type approximants associated with optimal averaged Gauss rules. Numerical examples illustrate their performance.
Кључне речи:
Gauss quadrature / averaged Gauss quadrature / optimal averaged Gauss quadrature / Pad\'e-type approximantИзвор:
ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS, 2023, 59, 145-156Издавач:
- the Kent State University Library in conjunction with the Institute of Computational Mathematics at Kent State University, and in cooperation with the Johann Radon Institute for Computational and Applied Mathematics of the Austrian Academy of Sciences (RICAM)
Финансирање / пројекти:
- Министарство науке, технолошког развоја и иновација Републике Србије, институционално финансирање - 200105 (Универзитет у Београду, Машински факултет) (RS-MESTD-inst-2020-200105)
Колекције
Институција/група
Mašinski fakultetTY - JOUR AU - Đukić, Dušan AU - Mutavdžić Đukić, Rada AU - Reichel, Lothar AU - Spalević, Miodrag PY - 2023 UR - https://machinery.mas.bg.ac.rs/handle/123456789/7065 AB - Pad\'{e}-type approximants are rational functions that approximate a given formal power series. Boutry \cite{Bo} constructed Pad\'{e}-type approximants that correspond to the averaged Gauss quadrature rules introduced by Laurie \cite{La}. More recently, Spalevi\'c \cite{Sp1} proposed optimal averaged Gauss quadrature rules, that have higher degree of precision than the corresponding averaged Gauss rule, with the same number of nodes. This paper defines Pad\'e-type approximants associated with optimal averaged Gauss rules. Numerical examples illustrate their performance. PB - the Kent State University Library in conjunction with the Institute of Computational Mathematics at Kent State University, and in cooperation with the Johann Radon Institute for Computational and Applied Mathematics of the Austrian Academy of Sciences (RICAM) T2 - ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS T1 - Optimal Averaged Pade-Type Approximants EP - 156 SP - 145 VL - 59 DO - 10.1553/etna_vol59s145 ER -
@article{ author = "Đukić, Dušan and Mutavdžić Đukić, Rada and Reichel, Lothar and Spalević, Miodrag", year = "2023", abstract = "Pad\'{e}-type approximants are rational functions that approximate a given formal power series. Boutry \cite{Bo} constructed Pad\'{e}-type approximants that correspond to the averaged Gauss quadrature rules introduced by Laurie \cite{La}. More recently, Spalevi\'c \cite{Sp1} proposed optimal averaged Gauss quadrature rules, that have higher degree of precision than the corresponding averaged Gauss rule, with the same number of nodes. This paper defines Pad\'e-type approximants associated with optimal averaged Gauss rules. Numerical examples illustrate their performance.", publisher = "the Kent State University Library in conjunction with the Institute of Computational Mathematics at Kent State University, and in cooperation with the Johann Radon Institute for Computational and Applied Mathematics of the Austrian Academy of Sciences (RICAM)", journal = "ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS", title = "Optimal Averaged Pade-Type Approximants", pages = "156-145", volume = "59", doi = "10.1553/etna_vol59s145" }
Đukić, D., Mutavdžić Đukić, R., Reichel, L.,& Spalević, M.. (2023). Optimal Averaged Pade-Type Approximants. in ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS the Kent State University Library in conjunction with the Institute of Computational Mathematics at Kent State University, and in cooperation with the Johann Radon Institute for Computational and Applied Mathematics of the Austrian Academy of Sciences (RICAM)., 59, 145-156. https://doi.org/10.1553/etna_vol59s145
Đukić D, Mutavdžić Đukić R, Reichel L, Spalević M. Optimal Averaged Pade-Type Approximants. in ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS. 2023;59:145-156. doi:10.1553/etna_vol59s145 .
Đukić, Dušan, Mutavdžić Đukić, Rada, Reichel, Lothar, Spalević, Miodrag, "Optimal Averaged Pade-Type Approximants" in ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS, 59 (2023):145-156, https://doi.org/10.1553/etna_vol59s145 . .