Work

Numerical Solution of the One-Dimensional Poisson Problem via Iterative Methods and Sparse Matrices

Year: 2026

Type: article

Abstract: We present the numerical solution of the one-dimensional Poisson problem using sparse matrix structures and iterative methods. We analyze the performance of the Gauss–Seidel and Successive Over-Relaxation (SOR) methods applied to the resulting linear systems obtained via finite difference discretization. Numerical experiments illustrate the convergence behavior and efficiency of these methods.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.19455584

Authors: Vitoria da Silva, Lorena, Yucra Hancco, Alvaro Julio

Institution: Universidade Federal do Norte do Tocantins

Language: English

Topic: Matrix Theory and Algorithms

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7151219703

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