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.

Averaged cubature schemes on the real positive semiaxis

Fermo L.
;
2022

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.
Anti-Gauss cubature rules
Averaged formulae
Error estimation
Extended cubature formulae
Gauss-Laguerre cubature formulae
Truncated cubature rules
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11584/346613
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