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MACSI One Day Graduate Courses

Numerical Solution to Differential Equations using Matlab

NUI Galway

3rd of April 2007.

NOTE: Registration has now finished.

Overview

The workshop is intended for graduate students who would like to learn how to compute solutions to differential equations using Matlab. In particular, how to

Discretize linear ODEs by finite difference methods;
Implement these methods efficiently in Matlab, including the the construction and solution of sparse linear systems;
Verify that the code is correct and analyse it for bottle-necks and redundancies;
Extend methods to nonlinear equations and PDEs.

Details

Date: 11am - 4pm, 03/04/07
Registration fee: €25 (€15 for NUI Galway students), payable on arrival. This covers registration on NUI Galway computers, tea, coffee and lunch.
Organisers: Niall Madden, Meghan Stephens, Martin Meere.

To register, or for further information, send an email to Niall Madden no later than 27/03/07. The course is entirely lab-based, so the number of places is strictly limited. When registering, please

indicate your experience of solving differential equations by finite difference methods;
level of programming experience, particularly with Matlab;
mention any particular aspect of the numerical solution of DEs that you'd like to see covered.
if you are a student, tell us who your PhD adviser is and the project that you are working on?

Registered participants to date.

Location

The workshop will take place on the campus of NUI Galway (See [Google Maps] or [MapQuest]) For information on getting to NUI Galway, see http://www.nuigalway.ie/about/getting_to_nuigalway.php. If coming to NUI Galway by car, please note that all visitors to must use one of limited number of Pay-And-Display places. For details, see http://www.nuigalway.ie/buildings/parking_visitors.html

We will meet for tea/coffee in the Friars Restaurant in the new Cairnes Building of NUI Galway at 11am. See campus maps

At 11.20 we'll move to the Friar PC suite, Room 105 of St Anthony Building, adjacent to the Cairnes Building.

Programme

11.00: Tea/Coffee and registration in Friar's Restaurant
11.20: Introduction to finite difference methods for differential equations and Matlab. Solving 2-point boundary value problems. Maximum principles. Adaptive meshes. Towards PDEs.
13.30: Lunch in Friar's Restaurant.
14.30: Partial differential equations: parabolic and elliptic problems
16.00: End of instruction. Discussions.