Numerical methods

This is a collection of algorithms discussed in "Numerical Methods" course.

Contents

Below is the description of Jupyter notebooks present in this repo:

1. Root finding

Finding solutions for equations of the form f(x) = 0.

2. System of equations

• System of linear equations: Finding solutions of system of linear equations (AX = B).
• System of non-linear equations

3. Interpolation

Given set of values x and y, "guess" a function that fits the given pairs of points.

4. Numerical Differenciataion

Numericals methods to obtain derivative and second derivative at a point of a function.

5. Numerical Integration

Numerical methods to compute definite integrals.

6. IVP for ODEs

Numerical methods to obtain approximate solutions for well-posed Initial Value Problems for Ordinary Differential Equations.

NOTE: Python-scripts folder contains python scripts for the above numerical methods.