This project explores and implements a wide range of classical and advanced techniques in the field of numerical analysis and differential equations, combining symbolic computation, custom numerical ...

Numerical computation and mathematical software form the backbone of modern scientific inquiry, facilitating the approximation of real numbers, the solution of complex mathematical models, and the ...

Numerical-Computation/ ├── README.md ├── src/ │ ├── linear_algebra_toolkit/ │ │ ├── eigenvalue_algorithms ...

A new method is presented by means of the theory of reproducing kernel space and finite difference method, to calculate Euler system of equations in this paper. The results show that the method has ...

Abstract: Numerical methods plays a vital role in computation of electric fields for the design of high voltage systems. For electric fields studies related to high voltage applications, the preferred ...

In this paper we discuss the numerical methods with second-order accuracy for solving stochastic differential equations. An unbiased sample approximation method for ...

ABSTRACT: This study presents a comprehensive numerical investigation of fourth-order nonlinear boundary value problems (BVPs) using an efficient and accurate computational approach. The present work ...

I've written about numerical calculations before, but perhaps they weren't too inspiring. What are numerical calculations? Here is my own definition. Numerical Calculations (numerical methods, ...

In this paper we introduce two methods for the efficient and accurate numerical solution of Black–Scholes models of American options: a penalty method and a front-fixing scheme. In the penalty ...