
Academic Year:  2015/6 
Owning Department/School:  Department of Mathematical Sciences 
Credits:  6 
Level:  Masters UG & PG (FHEQ level 7) 
Period: 
Semester 1 
Assessment Summary:  CW 25%, EX 75% 
Assessment Detail: 

Supplementary Assessment: 
MA40171 Mandatory extra work (where allowed by programme regulations) 
Requisites:  Before taking this module you must take MA20222 AND ( take MA30044 OR take MA30063 OR take MA30170 ) 
Description:  Aims: To teach an understanding of linear stability theory and its application to ODEs and evolutionary PDEs. Learning Outcomes: The students should be able to analyse the stability and convergence of a range of numerical methods and assess the practical performance of these methods through computer experiments. Skills: Understanding of the finite element method (T, A), Computer programming with the finite element method (T, A). Content: Solution of initial value problems for ODEs by Linear Multistep methods: local accuracy, order conditions; formulation as a onestep method; stability and convergence. Introduction to physically relevant PDEs. Wellposed problems. Truncation error; consistency, stability, convergence and the Lax Equivalence Theorem; techniques for finding the stability properties of particular numerical methods. Numerical methods for parabolic and hyperbolic PDEs. 
Programme availability: 
MA40171 is Optional on the following programmes:Department of Mathematical Sciences
