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MA40171: Numerical solution of evolutionary equations

Follow this link for further information on academic years Academic Year: 2016/7
Further information on owning departmentsOwning Department/School: Department of Mathematical Sciences
Further information on credits Credits: 6      [equivalent to 12 CATS credits]
Further information on notional study hours Notional Study Hours: 120
Further information on unit levels Level: Masters UG & PG (FHEQ level 7)
Further information on teaching periods Period:
Semester 1
Further information on unit assessment Assessment Summary: CW 25%, EX 75%
Further information on unit assessment Assessment Detail:
  • Coursework 1 (CW 13%)
  • Coursework 2 (CW 12%)
  • Examination (EX 75%)
Further information on supplementary assessment Supplementary Assessment:
MA40171 Mandatory extra work (where allowed by programme regulations)
Further information on requisites Requisites: Before taking this module you must take MA20222 AND ( take MA30044 OR take MA30063 OR take MA30170 )
Further information on descriptions 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.

Understanding of the finite element method (T, A), Computer programming with the finite element method (T, A).

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.
Further information on programme availabilityProgramme availability:

MA40171 is Optional on the following programmes:

Department of Mathematical Sciences