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

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: 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 ...

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 ...

Numerical integration is a commonly used technique in applied mathematics and engineering for approximating the value of a definite integral using a numerical method. The Newton-Cotes formula is a ...

Approximation theory and asymptotic methods form a foundational framework that bridges classical ideas with modern numerical analysis, enabling researchers to obtain practical, near‐optimal solutions ...

This monograph is a testimony of the impact over Computational Analysis of some new trigonometric and hyperbolic types of Taylor's formulae with integral remainders producing a rich collection of ...

Learn how to approximate the integral of a function using the Reimann sum approximation. Reimann sum is an approximation of ...