Department of Mathematical Sciences, Unit Catalogue 2011/12 

Credits:  6 
Level:  Masters UG & PG (FHEQ level 7) 
Period: 
Semester 1 
Assessment:  CW 25%, EX 75% 
Supplementary Assessment:  Likeforlike reassessment (where allowed by programme regulations) 
Requisites:  Before taking this unit you must take MA30170 
Description:  Aims & Learning Objectives: Aims: To teach an understanding of linear stability theory and its application to ODEs and evolutionary PDEs. Objectives: 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. 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
