Numerical Analysis
Homework Solutions for Numerical Analysis Course as Computer Science B.Sc. Student at Department of Mathematical Sciences, Sharif University of Technology
Numerical Analysis
Homework Solutions for Numerical Analysis Course as Computer Science B.Sc. Student at Department of Mathematical Sciences, Sharif University of Technology.
Spring 2023
Supervisor: Dr. Mohammad Reza Razvan
Description
This repository includes my homework and projects around Numerical Analysis. There are some theoretical questions and code implementations around Numerical Methods. Most of the questions are from the sourcebook of the course: Numerical Analysis (R. Burden, Aires, A. Burden) [10th Ed.].
(my answers may be incorrect!)
Table of Implementations
some questions are implemented in Python in my homework.
| Sunbect | Description |
|---|---|
| Euler Method | Just a simple Euler method! |
| Runge-Kutta-Verner Method | an algorithm similar to Runge-Kutta-Fehlberg Algorithm |
| Adams–Bashforth Method with RK4 initializer | Adams–Bashforth Method with RK4 initializer with 2,3,4,5 step |
| Adams–Moulton | Adams–Moulton Method ( with Adams-Bashforth Corrector Support ) with different step size |
| 3-step Adams–Moulton Method | Adams–Moulton Method ( with Adams-Bashforth Corrector Support ) with different step size |
| Adams–Bashforth Method with Iterative Correctors | Adams–Bashforth Method with p Iterative Correctors |
| Adams Variable Step size Predictor Corrector | Adams Variable Step size Predictor Corrector with N step Adams-Bashforth and N-1 step Adams Moulton Method |
| Runge-Kutta Method for Systems of Differential Equations | Runge-Kutta Method for Systems of Differential Equations |
| System with stable focus Phase Plane | A simple checking on a system with stable focus and drawing its phase plane diagram |
| Lorenz System | investigating the Lorenz system |