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MXB326 - Computational Mathematics 2

Dr Elliot Carr

Semester 1, 2024


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Lecture notes download: MXB326 Lecture Notes PDFarrow-up-right

Exam notes download: MXB326 Exam Notes PDFarrow-up-right


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

The contents of the lecture notes are described below.


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 Licensearrow-up-right.

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