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1 School of Mathematics, KNT University of Technology, Tehran, Iran. 2 Department of Mathematics, College of Basic Sciences, Karaj branch Islamic Azad University ...

Dynamic systems involving convolution integrals with decaying kernels, of which fractionally damped systems form a special case, are non-local in time and hence infinite dimensional. Straightforward ...

Abstract: The concepts of the lower approximation integral, the upper approximation integral and rough integrals are given on the basis of function rough sets. Based on these concepts, the relation of ...

We were assigned the task to compute 1D integrals. We used many ways for integration Riemann sum(left, right and centre) Trapezoidal rule Monte-carlo integration(1D ...

Abstract: There is often a need to approximate integrals of highly oscillatory functions when studying scattering and diffraction of electromagnetic waves. This paper presents a method of estimating ...

This is a preview. Log in through your library . Abstract A computer implementation of Bergman's solution to the initial value problem for the partial differential equation of compressible fluid flow ...

Simpson's rule is defined as follows: Simpson’s rule for approximating definite integrals: 􏰆b ∆x where and f(x)dx≈ 3 (1f(x0)+4f(x1)+2f(x2)+4f(x3)+2f(x4)+...+2f(xN−2)+4f(xN−1)+1f(xN)) a ∆x = b − a N ...