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Lecturer:  Dr Niall Madden 

Lectures:  24 x 1 hour lectures in Semester 2, plus labs.  
Schedule:  Lectures Wednesday 121 and Thursday 1112 in C219 (Aras de Brun). Labs will be scheduled shortly.  
Credit  Typically 5 ECTS for students in structured PhD programmes.  
Content:  
What you will learn: 


Why take this course: 
Many modelling problems lead to boundary value problems; obtaining
useful information from the model requires that these
problems be solve to "reasonable" accuracy. The
mathematics of how this is done is rich and
interesting. Furthermore, there are many blackbox tools to help us find (approximate) solutions to BVPs, though they tend to be optimised for certain classes of problems. By understanding how these work, we are in a better position to chose which is best. By being able to implement our own versions, if even for simple test cases, gives us a way of verifying results generated by other methods. 

Assessment:  Matlab programming projects and some written assignments.  
Texts: 


Useful references: 


Projects:  Students taking this course for credit,
as part of a structured PhD programme, are required to take part in
assessment activities. Of these, the most important is a project
that must be completed at the end of the semester. This will involve
writing a technical report and producing a Matlab implementation of
an FEM for a particular problem. Possible examples are given
below. More will be added as I think of them. Google them to get
more details.
 
Lecture summaries:  Notes for the first two classes are
extensive. The rest are very brief  more like a check list of
topics covered, than lecture notes.
