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

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 ...

1 Department of Mathematics and Computer Science, Delta State University, Abraka, Nigeria. 2 Department of Mathematics, University of Ilorin, Ilorin, Nigeria. Higher order boundary value problems in ...

This book presents an overview of the most recent research and findings in the field of approximation and regularisation methods for operator-functional equations, and explores their applications in ...

Parabolic partial differential equations (PDEs) are fundamental in modelling a wide range of diffusion processes in physics, finance and engineering. The numerical ...

Are you frustrated by applying numerical methods to endless iterations and still getting the wrong answer? Don’t worry, we have a solution!. We have created programs that will apply these methods for ...

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 ...

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 ...