MXB326 - Computational Mathematics 2

Dr Elliot Carr

Semester 1, 2024

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Downloads

Lecture notes download: MXB326 Lecture Notes PDF

Exam notes download: MXB326 Exam Notes 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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