Invert geophysical fluid dynamic problems (elliptic partial differential equations) using SOR iteration method.

This contains three programs written in python. Gauss-Seidel and Successive Over Relaxation to solve system of equations and Steepest-Descent to minimize a function of 2 or 3 variables.

This project investigates convergence for solving linear systems. It implements Jacobi and SOR methods, explores convergence, optimizes performance via ω, and analyzes spectral radius/determinant. It aims to enhance iterative method efficiency for linear systems.

Germanium detector Field Calculator

CFD code to study steady state heat conduction in a slab; uses point-gauss siedel, line-by-line gauss siedel and successive over-relaxation methods.

Iteration methods for linear equations

Solve 2D Poisson's equation in parallel using OpenMPI

MAL114 - Linear Algebra MATLAB Codes: QR decomposition and eigenvalues, Gauss-Jacobi, Gauss-Jordan, Gauss-Seidel, Graham-Schmidt, Jacobi Eigenvalues, Projection, Successive over Relaxation, System of Equations.

Compare the performance and workload balance of OpenMP scheduling methods and TBB

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

simple code to solve algebraic equation and system of equations

Erturk - cavityflow.com

🦖| Design, Development and Evaluation of Parallel Programs in MPI, Mpi + OpenMp Cuda Hybrid that implement the Jacobi with successive over-relaxation.

Computational Linear Algebra course covering topics like iterative methods, matrix decompositions, and applications. It includes theoretical concepts, practical exercises, and code. Advanced methods like QR factorization, spectral theorem, and iterative solvers for linear systems.

Visualization and numerical solvers for wave, diffusion, DLA, Reaction-Diffusion and Laplace

Numerical solver for the modified Poisson-Boltzmann equation.

Successive Over-Relaxation solver

A MATLAB project comparing the performance (time, iterations) of from-scratch implementations of direct and iterative methods (Gaussian Elimination, Gauss-Jordan Elimination, LU, Jacobi, Gauss-Seidel, SOR) for solving Ax=b.

solving linear systems with direct and iterative algorithms

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.