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

Adequate mathematical modeling is the key to success for many real-world projects in engineering, medicine, and other applied areas. Once a well-suited model is established, it can be thoroughly ...

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 ...

Abstract: This paper presents the study and implementation approaches of microcontroller-based system dynamics emulator for Mechanical system and Electrical system. The main goals of this research are ...

Consider the function f : R → R defined by f(x) = 0.25 cos(2x)^2 − x^2. Implement the methods of computing a root of the equation f(x) = 0 based on the first-order approximation of the function. In ...

This Python script demonstrates several numerical methods for polynomial interpolation and approximation, including divided differences for Newton's interpolation, Hermite interpolation, and cubic ...

ABSTRACT: We consider the relation between the simultaneous approximation of two functions and the uniform approximation to one of these functions. In particular, F1 and F2 are continuous functions on ...

In their 2001 paper, Longstaff and Schwartz suggested a method for American option pricing using simulation and regression, and since then this method has rapidly gained importance. However, the idea ...