Course Notes and Learning Resources - Numerical Methods and Optimisation

School of Chemical Engineering and Advanced Materials

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SUBJECT AREAS/TOPICS

NUMERICAL METHODS AND OPTIMISATION

Disclaimer:
The articles/notes indicated by the

symbol are compiled from a variety of sources and provided for student usage only to complement a lecture series. Neither the University nor the authors accept any liability for the accuracy and content.

This set of links are to Numerical Methods and Optimisation resources.

Least-squares (Stage 1 and above)

Principles of least-squares

Multivariable Optimisation: notes by Mark Willis

Numerical Integration (Stage 1 and above)

Notes on Numerical Integration (from MIT)

Numerical Integration (from Syracuse Uni)

Numerical Integration Tutorial (from Utah with interactive demo)

Ordinary Differential Equations - ODEs (Stage 1 and above)

Ordinary Differential Equations
Numerical solution of ODEs
Solving Ordinary Differential Equations using Matlab
Euler's Method
Solving ODE's (requires Java enabled browser)
A Shockwave introduction to Euler's Method

Optimisation

An introduction to Mathematical Optimisation (Stage 2 and above)
NEOS's guide to numerical optimisation techniques (Stage 3 and above)

Root Finding (Stage 1 and above)

Root finding using Bisection, False Position, Newton-Raphson and Secant methods (from Purdue Uni)
Bisection Method Tutorial (from Utah with interactive demo)
Shockwave demo of the Bisection (Interval-halving) Method
Tutorial on Root Finding (graphical demo. of Newton's, Secant and Bisection Methods from Toronto)

Others

Computer Methods for Chemical Engineers - notes by Jeff Kantor
Monte-Carlo Methods (Stage 3 and above)
Numerical Linear Algebra (Stage 2 and above)
Random Numbers (Stage 1 and above)

see also the resources in
Computers and Computing
Mathematics and Statistics

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