A fast poisson image editing implementation that can utilize multi-core CPU or GPU to handle a high-resolution image input.

This is currently a Fluid Simulation made as a hobby project. This was mostly done by myself but the math for solving the Navier Stokes Equations came from Nividia GPU Gems since I am not educated enough for these subjects.

Algorithms of computational math: Legendre polynomial; Gauss method; Cholesky method; Method of Squares; Newton interpolation; Inverse Gauss method; Interpolation by cubic splines; Gauss Zeidel method; Jacobi method; Eigenvalues; Euler method; Left/Right rectangle method; Simpson method; The method of dividing a segment in half; Newton's method;

Parallel implementation of Jacobi method using the higher-order functions Map and Reduce

Collection of university assignments, in which we explore various techniques and algorithms to inspect numerical stability, precision, convergence, and performance for large matrices.

Implementation of numerical methods to find solutions of systems of linear equations and find points in a curve given by a set of equations.

Study & Performance Analysis on MPI and OpenMp program, solving Poisson Equation with Jacobi Method

Numerical Linear Algebra

Serial and Parallel numerical methods for solving partial differential equations using finite differences with OpenMP. Implementation of the serial and parallel Jacobi and Gauss-Seidel methods for solving linear systems. Implementation of the Additive Schwarz and Restricted Additive Schwarz methods for domain decomposition.

Repository with some scripts developed in the subject Numerical Linear Algebra.

MATLAB simulations for load flow studies using various algorithms in power systems.

a collection of numerical methods written in python language.

C code bisection, gauss seidel, incremental search, jacobi Method , LU Decomposition, Newton_Raphson, Power Method, QR_Decomposition, regula_falsi Method, Simpson and Trapezoidal Integration

This project contains the implementation of four iterative methods for the resolution of sparse linear matrices, with the aim of analyzing the resources necessary for computation based on the input matrix

C++ implementation of several mathematical techniques for solving large hollow systems

This repository contains a series of mini-projects focused on fundamental numerical methods implemented in MATLAB. These projects cover key areas in numerical linear algebra and root-finding techniques, each designed to provide practical insights into mathematical theories and their computational applications.

Códigos creados durante el curso de Métodos Numéricos (Agosto 2019 - Diciembre 2019) para la maestría en Matemáticas Aplicadas en CIMAT.

Numerical methods for solving systems of linear equations

Computational Linear Algebra - Python