Calculating triple integrals with continuous integrals numerically using the method RS (RMS)

Khudhair, Eman Jasim Fadhil; Aljassas, Safaa M.

doi:10.47974/JIM-2549

Open Access Research Article

Calculating triple integrals with continuous integrals numerically using the method RS (RMS)

^*Eman Jasim Fadhil KhudhairCorresponding authoremanj.alabodi@student.uokufa.edu.iqDepartment of MathematicsFaculty of Education for WomenUniversity of KufaKufa, Najaf, 10071, IraqView full profile → , Safaa M. Aljassassafaam.musa@uokufa.edu.iqDepartment of MathematicsFaculty of Education for WomenUniversity of KufaKufa, Najaf, 10071, Iraq0000-0002-0372-718XView full profile →

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pp. 1537–1541Vol. 29Issue 5-BMay 2026DOI: 10.47974/JIM-2549XML

Received:: 01 Nov 2025
Published Online:: 27 Jun 2026
Article type:: Research Article
Language:: EN
Article no.:: JIM-2549
Pages:: 1537–1541

Abstract

An objective of this article is to calculate continuous triple integrals numerically using the RS (RMS) method by applying Romberg acceleration to complex rules (the Simpson rule for the inner dimension x and the midpoint rule for the middle dimension y). The Simpson’s rules to outer dimensions z, denoted as symbol RS (RMS), where an inner dimension x is equal to the middle dimensions y and not equal to the outer dimensions z. We achieved high accuracy and a large number of sub-periods in a short time.

Keywords

Triple integral Continuous function Simpson rules Midpoint rule

Subject Classifications

65D3065D32

References

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