Averaged cubature schemes on the real positive semiaxis

Averaged cubature schemes on the real positive semiaxis

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 experiment...

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Veröffentlicht in:Numerical algorithms 2023, Vol.92 (1), p.545-569
Hauptverfasser: Djukić, Dušan Lj, Fermo, Luisa, Djukić, Rada M. Mutavdžić
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Algorithms
Computer Science
Estimates
Integrals
Numeric Computing
Numerical Analysis
Original Paper
Polynomials
Theory of Computation
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Zusammenfassung: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.
ISSN:1017-1398
1572-9265
DOI:10.1007/s11075-022-01408-6