Numerical Method RO(SMS) of Evaluation of Triple Integrals with Continuous Integrands | ||
| journal of kerbala university | ||
| Article 1, Volume 10, Issue 2, July 2014, Pages 170-178 PDF (0 K) | ||
| Abstract | ||
| The main aim of this paper is to calculate triple integrals with continuous integrands numerically using the method resulting from Newton - Cotes the rules of (midpoint and Simpson) We have provided the theorem with the proof to find this rule and the correction error bounds with its ,And by depending on the correction error that we found it we have improved the results by using the method of acceleration Romberg on values resulting from the application Mid- point rule on middle dimension and Simpson rule on both dimensions the interior and exterior where the number of divisions on the exterior dimension is equal to the number of divisions on the middle dimension and equal to the number of divisions on the interior dimension, and we denoted it by symbol . we can be depend upon in calculating the triple integrals because it gave high accuracy with few subintervals and few time | ||
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