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 University | Catalogues for 2006/07

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Department of Mathematical Sciences, Unit Catalogue 2006/07

MA40171 Numerical solution of PDEs II

Credits: 6
Level: Masters
Semester: 1
Assessment: CW 25 % EX 75%
Before taking this unit you must take MA30170

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.
Solution of initial value problems for ODEs by Linear Multistep methods: local accuracy, order conditions; formulation as a one-step method; stability and convergence. Introduction to physically relevant PDEs. Well-posed 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.


University | Catalogues for 2006/07