> For the complete documentation index, see [llms.txt](https://tarang74.gitbook.io/qut-notes/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://tarang74.gitbook.io/qut-notes/mxb326.md).

# MXB326 - Computational Mathematics 2

## Dr Elliot Carr

### Semester 1, 2024

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## Downloads

Lecture notes download: [MXB326 Lecture Notes PDF](https://www.github.com/Tarang74/MXB326/raw/main/MXB326%20Lecture%20Notes.pdf)

Exam notes download: [MXB326 Exam Notes PDF](https://www.github.com/Tarang74/MXB326/raw/main/MXB326%20Exam%20Notes.pdf)

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This repository provides **lecture notes** and **exam notes** for **MXB326 - Computational Mathematics 2**.

*The contents of the lecture notes are described below.*

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## Contents

1. Transport Problems
2. Spatial Discretisation
3. The Time-Dependent Transport Equation
4. Time Discretisation
5. Stability Analysis
6. Monotonicity
7. Finite Volume Method in 1D
8. Newton's Method
9. Modified Newton Methods
10. Convergence Theory
11. Inexact Newton Method
12. Krylov Subspaces
13. Solving Sparse Linear Systems
14. Newton-Krylov Methods
15. Appendix

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This work is licensed under a [Attribution-NonCommercial-ShareAlike 4.0 International License](http://creativecommons.org/licenses/by-nc-sa/4.0/).