Lecturer	Nick Trefethen
Term	Hilary Term 2009  (12 lectures)

Overview

This course is only offered every other year.
We will run it again in 2010/11.

Second term of a MATLAB-based course for graduate students in the Mathematical, Physical and Life Sciences Division.
Part I of this course is held in Michaelmas Term 2008.

There is a flier with summary information about the course.

Syllabus

TERM 2 - HT 2009 - OUTLINE OF LECTURES

  IV. ODEs AND NONLINEAR DYNAMICS

     IV.1  ODE IVPs
     IV.2  Runge-Kutta and multistep formulas
     IV.3  IVP codes in Matlab and Simulink
     IV.4  Order of accuracy
     IV.5  Convergence and stability
     IV.6  Adaptive ODE codes
     IV.7  Planetary motions
     IV.8  Chaos and Lyapunov exponents
     IV.9  Stability regions
     IV.10 Stiffness

  V. PDEs

     V.1   PDEs in science and engineering
     V.2   Explicit 1D finite differences
     V.3   Numerical instability
     V.4   Implicit 1D finite differences
     V.5   Order of accuracy
     V.6   Finite differencing in general grids
     V.7   Multiple space dimensions
     V.8   Fourier spectral discretisation
     V.9   Fourier spectral discretisation via FFT
     V.10  Chebyshev spectral discretisation
     V.11  Steady state problems
     V.12  Solution by fixed-point iteration
     V.13  Solution by Newton iteration
     V.14  Two and three space dimensions
     V.15  Ten tips

Taking our courses

This form is not to be used by students studying for a degree in the Department of Computer Science, or for Visiting Students who are registered for Computer Science courses

Other matriculated University of Oxford students who are interested in taking this, or other, courses in the Department of Computer Science, must complete this online form by 17.00 on Friday of 0th week of term in which the course is taught. Late requests, and requests sent by email, will not be considered. All requests must be approved by the relevant Computer Science departmental committee and can only be submitted using this form.