Numerical Analysis I

Description

This repo contains all the assignments I did for the course Numerical Analysis I during my Bachelore Program in Mathematics at Stockholm University.

Labs

Lab 2 (Nonlinear algebraic equations)

• Instructions
• Report
• Code

Lab 3 (Numerical Integration)

• Instructions
• Code

Lab 4 (Basic Gaussian Elimination)

• Instructions
• Solutions by hand to problems 1,2 and 3
• Code (Solution to problem 4)

Lab 5 (Gaussian Elimination with partial pivoting)

• Instructions
• Code

Lab 6 (QR method)

• Instructions
• Finding the QR decomposition using the Gram-Schmidt method by hand
• Code (Subroutine for finding the QR decomposition)

Lab 7 (Iterative method and Gradient descent method)

• Instructions
• Solution to problem 1 (Gaussian elimination)
• Code

Lab 8 (Error Analysis)

• Instructions
• Solutions

Lab 9 (Interpolation and ODE basic)

• Instructions
• Code

Lab 10 (Runge-Kutta and multi-step method)

• Instructions
• Code

Lab 11 (Boundary Value Problem with shooting method and finite difference method)

• Instructions
• Code

Project

The project is about solving a differential equation using Euler’s method, second and fourth order Runge-Kutta aswell as a multi-step method (I choose Adam-Bashforth).

• Instructions
• Report
• Code