Abstract: Fast and reliable power-flow computations are essential for power-system operation and planning, and they are increasingly challenged by the variability and structural complexity of modern ...

In his doctoral thesis, Michael Roop develops numerical methods that allow finding physically reliable approximate solutions ...

Abstract: This paper focuses on using the Newton-Raphson method to solve the power-flow problems. Since the most computationally demanding part of the Newton-Raphson method is to solve the linear ...

Based on Newton's laws of motion and Kepler's empirical laws, this study presents a pedagogically oriented derivation of the inverse-square law of gravitation and develops a numerical model to ...

SEVERAL current text-books on numerical mathematics give descriptions of what is called the ‘Bashforth–Adams’ process for the solution of differential equations. The method is usually dismissed with a ...

A production-quality, modern, and user-friendly desktop application to calculate the roots of nonlinear equations using various numerical methods. Built primarily for educational and professional use, ...