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COMP2421 Numerical Computation

Module information

Course introduction and recap

Worksheet 00: Maths revision
Lec01: Module introduction
Lec02: Matrices and vectors
WS01: Introduction to python and numpy
Lec03: Floating point number systems
WS02: Floating point number systems

Systems of linear equations

Lec04: Introduction to SLE
Lec05: Solving triangular systems
Lec06: Gaussian elimination
WS03: Triangular systems and Gaussian elimination
Lec07: LU factorisation
Lec08: The effects of finite precision
WS04: LU Factorisation and iterative methods
Lec09: Iterative methods
Lec09: Sparse matrices and stopping criteria
WS05: Sparse systems and pivoting

Dynamic problems

Lec11: Dynamic models and rates of change
Lec12: Derivatives and differential equations
WS06: Derivatives and Euler's method
Lec13: Exact solutions and errors
Lec14: A modelling example
WS07: Improved Euler's methods

Nonlinear equations

Lec15: Introduction
Lec16: Newton's method
WS08: Bisection and Newton's method
Lec17: Quasi-Newton methods
Lec18: Robust nonlinear solvers
WS09: Robust nonlinear solvers

Special topics

Lec19: Least squares fitting

Summary

Lec20: Overview, review and looking forward

Repository
Open issue

Index

By Dr Thomas Ranner and Dr Yongxing Wang, University of Leeds

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.