Gwybodaeth Modiwlau
Course Delivery
Assessment
Due to Covid-19 students should refer to the module Blackboard pages for assessment details
| Assessment Type | Assessment length / details | Proportion |
|---|---|---|
| Semester Assessment | Numerical Exercises | 20% |
| Semester Assessment | Essay | 30% |
| Semester Assessment | Written Report | 50% |
| Supplementary Assessment | As determined by the Departmental Exam Board | 100% |
Learning Outcomes
On successful completion of this module students should be able to:
1. Formulate numerical solutions to mathematical and physical problems.
2. Utilise various techniques for scientific computing and analysis.
3. Formulate and evaluate numerical programs that implement the relevant algorithms.
4. Apply methods of solving large systems of simultaneous equations.
5. Utilise Monte Carlo methods to solve problems in statistical mechanics.
6. Compose a written report on the applied techniques and their results.
Aims
Numerical solutions to mathematical and physics problems is a cornerstone of both physics and applied mathematics research. This module is a continuation of the practical-based module PH26620. The numerical techniques are more advanced and will require more detailed understanding of the numerical methods.
Brief description
This module builds on the Numerical Techniques for Physicists module PH26620. Methods of solving (large) systems of simultaneous linear equations are introduced. This is then used to numerically solve partial differential equations. Monte Carlo methods are introduced as a general method. More specifically, Metropolis Monte Carlo methods for solving problems in statistical mechanics are covered. The students will implement these algorithms and apply them to simple physical problems.
Content
Iterative methods for solving sparse systems of linear equations.
Numerical methods for partial differential equations.
Monte Carlo methods.
Metropolis Monte Carlo methods for simulation of statistical mechanical systems.
Module Skills
| Skills Type | Skills details |
|---|---|
| Application of Number | Throughout the module. |
| Communication | Writing reports. |
| Information Technology | This module involves programming and computational visualisation. |
| Personal Development and Career planning | Programming skills. |
| Problem solving | Throughout the module. |
| Subject Specific Skills | Programming, numerical methods. |
Notes
This module is at CQFW Level 7