# Essential Numerical Methods

- Institution: Massachusetts Institute of Technology
- Department: Nuclear Science and Engineering
- Teacher: Prof. Ian H. Hutchinson
- Term: Fall 2014
- Level: Graduate
- Language: English
- Subjects: Mathematics, Physics, Engineering
- Source: [MIT OpenCourseWare](https://ocw.mit.edu/courses/22-15-essential-numerical-methods-fall-2014/)
- Licence: [CC BY-NC-SA 4.0](https://creativecommons.org/licenses/by-nc-sa/4.0/) (Non-commercial use only.)
- Syllabus: [at the source](https://ocw.mit.edu/courses/22-15-essential-numerical-methods-fall-2014/pages/syllabus/)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

This half-semester course introduces computational methods for solving physical problems, especially in nuclear applications. The course covers ordinary and partial differential equations for particle orbit, and fluid, field, and particle conservation problems; their representation and solution by finite difference numerical approximations; iterative matrix inversion methods; stability, convergence, accuracy and statistics; and particle representations of Boltzmann’s equation and methods of solution such as Monte-Carlo and particle-in-cell techniques.

## Lectures

1. [Octave/MATLAB® for Beginners, Part 1: Starting from Scratch](https://invisiblenetwork.ai/learn/mit/22-15-essential-numerical-methods-fall-2014/c5764cf16bc6), 7 min (Video)
2. [Octave/MATLAB® for Beginners, Part 2: Fitting Data and Plotting](https://invisiblenetwork.ai/learn/mit/22-15-essential-numerical-methods-fall-2014/e299d551f0d6), 18 min (Video)
3. [Octave/MATLAB® for Beginners, Part 3: Cleaning Up & Saving Plots](https://invisiblenetwork.ai/learn/mit/22-15-essential-numerical-methods-fall-2014/a8225e46ec41), 10 min (Video)