طريقة AMT لحساب التكاملات الثنائية المستمرة عدديا

Abstract EN

In this paper ,we used search method for calculating the approximate values of double integrals , when its integrands continuous and we choose rules (Trapezoidal and midpoint) because the approximate values resulting from the use of Trapezoidal rule be faster closer to the real value of the integrals compared to another formulas of Newton-Cotes formulas ,but for the rule mid-point we can use it in the calculation of continuous integrand or non-continuous integrands in the region of integration because it is not use the values of function of integration in both ends of the integration period and the symbol of this rule is MT .We choose 2n (the number of subintervals of a,b) is equal to 2m (number of subintervals of c, d )and we improved the results by applying Aitken accelerate with MT and denote to the method by AMT , where the symbol A indicates to the Aitken’s acceleration method and MT (indicates to the mid-point rule on the external dimension and Trapezoidal rule on the internal dimension ).