APM202 

Sources for three Lectures on Numerical Methods by Madeline Miller, April 2014

Trefethen, L: Finite Difference and Spectral Methods for Ordinary and Partial Differential Equations (https://people.maths.ox.ac.uk/trefethen/pdetext.html) Multi-step methods, accuracy, consistency, stability: Ch. 1

Iserles, A. (2009) A First Course in the Numerical Analysis of Differential Equations      Differencing, multi-step methods, collocation: pp 3-50; Stiff eqns and A-stability: pp. 53-70

Trefethen, L. Spectral Methods in MATLAB (http://people.maths.ox.ac.uk/trefethen/spectral.html) Motivation of global polynomial approximation: Ch. 1; DFT and FFT: Ch. 3; Smoothness and Spectral Accuracy: Ch. 4;