Content and teaching | Assessment | Availability

Module content and teaching

Principal aims

The aim of this module is to provide an introduction to the analysis and design of numerical methods for solving partial differential equations of elliptic, hyperbolic and parabolic type.Concepts such as consistency, convergence and stability of numerical methods will be discussed. Fourier methods will be used to analyse stability and convergence of finite difference methods, while finite element methods will be analysed in terms of interpolation error estimates.

Principal learning outcomes

Students who have successfully taken this module should be aware of the issues around the discretization of several different types of pdes, have a knowledge of the finite element and finite difference methods that are used for discretizing, be able to discretise an elliptic partial differential equation using finite difference and finite element methods, carry out stability and error analysis for the discrete approximation to elliptic, parabolic and hyperbolic equations in certain domains.

Departmental link

Other essential notes

Prerequisites: MA3G7 Functional Analysis I.

Module assessment

Assessment group Assessment name Percentage
15 CATS (Module code: MA3H0-15)
B (Examination only) Examination - Main Summer Exam Period (weeks 4-9) 100%

Module availability

This module is available on the following courses:



Optional Core