Abstract:
The main objective of this research is to derive a rule for calculating the values ??of triple integrals numerically with Singularity integrals and partial derivatives in the lower term of the region of integration using the quasi-burning rule on the three dimensions, z x, y, and how to find the correction limits for them (error formula) and improve these results using the method Romberg's acceleration through these correction limits, when the number of sub-periods into which the integration period is segmented on the inner dimension x is equal to the number of sub-intervals into which the integration period is segmented on the outer dimension y. We will symbolize this method with the symbol Rttt and it is reliable because it gave high accuracy in the results compared to the analytical values ??of the integrals with a few partial periods.
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