- Dr Andrew Hazel (Reader - University of Manchester)
|Delivery Type||Delivery length / details|
|Lecture||12 x 1 Hour Lectures|
|Practical||5 x 2 Hour Practicals|
|Assessment Type||Assessment length / details||Proportion|
|Semester Exam||2 Hours||50%|
|Semester Assessment||Report 1 on numerical implementation of the finite difference method (2000 words).||25%|
|Semester Assessment||Report 2 on numerical implementation of the finite difference method (2000 words).||25%|
|Supplementary Exam||2 Hours||100%|
On successful completion of this module students should be able to:
1. Discretise elliptic, hyperbolic and parabolic partial differential equations using finite difference methods.
2. Use the variational formulation to derive a finite element discretisation of a PDE.
3. Perform an error and convergence analysis for these discrete approximations to PDEs.
4. Solve an elliptic or parabolic PDE numerically using different computational methods.
This module provides an introduction to numerical methods for solving partial differential equations of elliptic and parabolic type. Concepts such as consistency, convergence and stability of numerical methods will be discussed.
Variational formulation and the finite element method. Convergence and stability.
Numerical implementation of these methods.
|Skills Type||Skills details|
|Application of Number||Inherent in module.|
|Communication||The written reports will require students to clearly explain their findings.|
|Improving own Learning and Performance||Problem sheets will allow students to assess their progress.|
|Personal Development and Career planning||Familiarity with numerical methods for solving differential equations is a valuable career skill, particularly for those going on to work in finance and in industry.|
|Problem solving||Inherent in module.|
|Subject Specific Skills||Inherent in module.|
|Team work||Students will be encouraged to work in groups for the practical sessions.|
This module is at CQFW Level 6