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Department of Mathematical Sciences, Unit Catalogue 2011/12


MA40171: Numerical solution of PDEs II

Click here for further information Credits: 6
Click here for further information Level: Masters UG & PG (FHEQ level 7)
Click here for further information Period: Semester 1
Click here for further information Assessment: CW 25%, EX 75%
Click here for further information Supplementary Assessment: Like-for-like reassessment (where allowed by programme regulations)
Click here for further information Requisites: Before taking this unit you must take MA30170
Click here for further information 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 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.
Click here for further informationProgramme availability:

MA40171 is Optional on the following programmes:

Department of Mathematical Sciences
  • USMA-AFM14 : MMath Mathematics (Full-time) - Year 4
  • USMA-AAM15 : MMath Mathematics with Study Year Abroad (Full-time with Study Year Abroad) - Year 4
  • TSMA-AFM09 : MSc Mathematical Sciences (Full-time) - Year 1
  • TSMA-APM09 : MSc Mathematical Sciences (Part-time) - Year 1
  • TSMA-APM09 : MSc Mathematical Sciences (Part-time) - Year 2
  • TSMA-AFM08 : MSc Modern Applications of Mathematics (Full-time) - Year 1
  • TSMA-AFL02 : PG Dip Modern Applications of Mathematics (Full-time) - Year 1

NB. Programmes and units are subject to change at any time, in accordance with normal University procedures.