(2014). Derivation Numerical Method by Using Simpson Rule to Evaluate Triple Integrations with Singular Partial Derivative Integrands. Alustath, 10(2), 179-195.
. "Derivation Numerical Method by Using Simpson Rule to Evaluate Triple Integrations with Singular Partial Derivative Integrands". Alustath, 10, 2, 2014, 179-195.
(2014). 'Derivation Numerical Method by Using Simpson Rule to Evaluate Triple Integrations with Singular Partial Derivative Integrands', Alustath, 10(2), pp. 179-195.
Derivation Numerical Method by Using Simpson Rule to Evaluate Triple Integrations with Singular Partial Derivative Integrands. Alustath, 2014; 10(2): 179-195.

Derivation Numerical Method by Using Simpson Rule to Evaluate Triple Integrations with Singular Partial Derivative Integrands

journal of kerbala university
Article 1, Volume 10, Issue 2, July 2014, Pages 179-195    PDF (0 K)
Abstract
The main aim of this research is to derive rule to find values of triple integrals, numerically its integrands have singular partial derivatires not on the end of the region of integration by using the Simpson rule with the three direction X,Y and Z . And to derive the correction error terms and we used Romberg acceleration to improve the results when the number of subintervals on the three dimensions are equal . We used the symbole RSSS to indicate this method and we can depend on this method because it gave high accuracy on the results with respect to the analytical values of integrations and with little subintervals.
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