This Module is Numerical analysis, an area of mathematics and computer science that creates, analyzes, and implements algorithms for obtaining numerical solutions to problems involving continuous ...

This repository contains a Python implementation of the Gauss-Seidel Elimination method for solving systems of linear equations. The code reads coefficients from an Excel file (`data.xls`), performs ...

Abstract: In the field of operator equations, solving the inner inverses is essential. In this paper, based on the Lagrangian function a class of block Gauss-Seidel methods is proposed, which contains ...

Abstract: The advent of autonomous microgrids with distributed generators has drawn a lot of interest to studies on microgrid power flow. Conventional power flow approaches cannot overcome several ...

We consider the nonlinear system of equations that results from the Van Leer flux vector-splitting discretization of the one dimensional Euler equations. This nonlinear system is linearized at the ...