Averaged cubature schemes on the real positive semiaxis
Apstrakt
Stratified cubature rules are proposed to approximate double integrals defined on the real positive semiaxis. In particular, anti-Gauss cubature formulae are introduced and averaged cubature schemes are developed. Some of their appropriate modifications are also studied. Several numerical experiments are given to testify the performance of all the formulae.
Ključne reči:
Gauss-Laguerre cubature formulae / Anti-Gauss cubature rules / Averaged formulae / Truncated cubature rules / Error estimation / Extended cubature formulaeIzvor:
Numerical Algorithms, 2023, 92, 545–569Izdavač:
- Springer
Finansiranje / projekti:
- Ministarstvo nauke, tehnološkog razvoja i inovacija Republike Srbije, institucionalno finansiranje - 200105 (Univerzitet u Beogradu, Mašinski fakultet) (RS-MESTD-inst-2020-200105)
Kolekcije
Institucija/grupa
Mašinski fakultetTY - JOUR AU - Đukić, Dušan AU - Fermo, Luisa AU - Mutavdžić Đukić, Rada PY - 2023 UR - https://machinery.mas.bg.ac.rs/handle/123456789/3963 AB - Stratified cubature rules are proposed to approximate double integrals defined on the real positive semiaxis. In particular, anti-Gauss cubature formulae are introduced and averaged cubature schemes are developed. Some of their appropriate modifications are also studied. Several numerical experiments are given to testify the performance of all the formulae. PB - Springer T2 - Numerical Algorithms T1 - Averaged cubature schemes on the real positive semiaxis VL - 92, 545–569 DO - 10.1007/s11075-022-01408-6 ER -
@article{ author = "Đukić, Dušan and Fermo, Luisa and Mutavdžić Đukić, Rada", year = "2023", abstract = "Stratified cubature rules are proposed to approximate double integrals defined on the real positive semiaxis. In particular, anti-Gauss cubature formulae are introduced and averaged cubature schemes are developed. Some of their appropriate modifications are also studied. Several numerical experiments are given to testify the performance of all the formulae.", publisher = "Springer", journal = "Numerical Algorithms", title = "Averaged cubature schemes on the real positive semiaxis", volume = "92, 545–569", doi = "10.1007/s11075-022-01408-6" }
Đukić, D., Fermo, L.,& Mutavdžić Đukić, R.. (2023). Averaged cubature schemes on the real positive semiaxis. in Numerical Algorithms Springer., 92, 545–569. https://doi.org/10.1007/s11075-022-01408-6
Đukić D, Fermo L, Mutavdžić Đukić R. Averaged cubature schemes on the real positive semiaxis. in Numerical Algorithms. 2023;92, 545–569. doi:10.1007/s11075-022-01408-6 .
Đukić, Dušan, Fermo, Luisa, Mutavdžić Đukić, Rada, "Averaged cubature schemes on the real positive semiaxis" in Numerical Algorithms, 92, 545–569 (2023), https://doi.org/10.1007/s11075-022-01408-6 . .
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