This project implements Monte Carlo integration for polynomial functions. Monte Carlo integration is a numerical method for estimating the value of definite integrals by generating random samples from ...

Abstract: A previously published integration algorithm applicable to the numerical computation of integrals with rapidly oscillating integrands is generalized. The previous algorithm involved ...

x (numpy array): Array of x values. y (numpy array): Array of y values. degree (int): Degree of the polynomial. polynomial (poly1d object): Polynomial equation. a (float): Lower bound of the integral.

Abstract: Integrating an arbitrary polynomial function f of degree D over a general simplex in dimension n is well-known in the state of the art to be NP-hard when D and n are allowed to vary, but it ...

Let be a polynomial of degree n having all its zeros in , then for each , , with , Aziz and Ahemad (1996) proved that In this paper, we extend the above inequality to the class of polynomials , having ...

Polynomial integration is a fundamental principle in calculus with numerous applications in various fields like engineering, physics, computer science and economics. Despite its numerous applications, ...