Module Identifier PH36010  
Academic Year 2001/2002  
Co-ordinator Dr Geraint Thomas  
Semester Semester 2  
Other staff Dr David Langstaff  
Pre-Requisite PH26010 , PH27010 , PH23010 , PH21010  
Course delivery Lecture   12 lectures  
  Seminars / Tutorials   21 Hours 5 workshops (2 hours each); project lasting 11 hours  
Assessment Course work   4 Assignments Coursework Deadlines (by week of Semester): Assignment 1 Week 3 Assignment 2 Week 6 Assignment 3 Week 8 Assignment 4 Week 11   100%  

Module description

Computational physics provides an alterative approach for the solution of practical and theoretical problems. Solutions intractable by analytical techniques may be evaluated using numerical techniques or, alternatively, numerical simulation may allow lthe influence of a range of variables to be investigated without recourse to extensive experiments. In the present course, basic techniques of numerical analysis will be introduced, including interpolation, functions, roots and integration. The module will also introduce approaches for the solution of ordinary differential equations and Fourier transforms as well as finite element techniques for solving partial differential equations. A basic knowledge of the FORTRAN programming language is requried, but the module will concentrate on applying existing routines rather than programme development and significant emphasis will be placed on the physical relevance of the sample problems and their solutions.

Learning outcomes

After taking this module students should be able to:

Additional learning activities

In addition to formal lectures on basic techniques, the students will have significant opportunities to investigate and implement numerical analysis methods on personal computers.

Outline syllabus

FORTRAN: revision lecture

Linear interpolation and extrapolation

Roots of equations

Numerical Integration

Fourier Analysis

Ordinary Differential Equations: Runge-Kutta

Introduction to the solution Partial Differential Equation: Finite Difference techniques.
Each of the above will be illustrated by reference to appropriate topics in Physics

Reading Lists

** Recommended Text
Paul L.DeVries. A First Course in Computation Physics. John Wiley ISBN 0471548693
** Supplementary Text
William H. Press, et al.. Numerical Recipes in FORTRAN. Cambridge University Press ISBN 052143064X