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Graduate Workshop on Numerical Linear Algebra, 12-14 May, 2014
Course Information
This workshop is aimed at graduate students who would like to learn about algorithms for problems involving sparse linear systems. It will include motivation, mathematics and implementation of iterative solvers with an emphasis on multigrid methods.
The main intended audience is the NUI Galway and UCD students who participated in the Semester 2 graduate course on Numerical Linear Algebra. However, we strive to make the workshop self-contained, so it should be of interest to a wider group of researchers.
The workshop will be delivered by James Adler, Tufts Tufts University (with some help from Niall Madden.
Schedule
The workshop will start at 11:00 Monday, 12 May, and finish at 12:00 (TBC), Wednesday, 14 May.
All sessions take place in Arás de Brún, NUI Galway. Exact room details are given in the session below. Tea/Coffee will be provided, provided by the NUI Galway, School of Mathematics, Statistics and Applied Mathematics. Lunch is at participants own expense. There will be an informal workshop dinner (also at participants' expense) on Monday evening.
You can find information on parking on the main NUI Galway website. Visitors should park in a pay-and-display space: the clampers are ruthless!
.| Schedule (provisional, and guaranteed to change!) | ||
| Monday, 11 May | Tuesday, 12 May | Wednesday, 13 May |
| Topic 4: Nonstationary methods (JA/NM) | Topic 8: Interlude - QR-factorisation (NM) | |
| Start (Coffee at 11:00 in ADB-G022) | Topic 5: Specialised methods, e.g., GMRES, CG, ... (JA) | Lab 2: Implementing Multigrid in Matlab (JA+NM) |
| Topic 6: Multigrid 1 (JA) | ||
| Topic 1 (11:15, ADB-1020): FEM basic theory for DEs in 1 and 2 dimensions (Poisson problem) (NM) | Lab 1: Programming a FEM | End |
| Lunch | Lunch | |
| Topic 2 (14:00, ADB-1020): FEMs - from theory to linear systems (NM) | Lab 1 continued | |
| Topic 3 (15:00, ADB-1020): Basic iterative methods, Part I (JA) | Topic 8: Multigrid 2 (JA) | |
| Topic 4 (16:00, ADB-1020): Basic iterative methods, Part II (JA) | Topic 9: Multigrid 3 (JA) | |
Some files for the labs
- Link to Solve1DFE.m
- Link to Solve2DFE.m
- Description of the 1 and 2D code
- Files for lab 2 (zip file; right-click, save as...
Participants
- James Adler, Tufts University
- Alan Benson, UCD
- Lilia Margarita Flores Mateos, NUI Galway
- Niall Madden, NUI Galway
- James McTigue, NUI Galway
- Brendan Murray, UCD
- Thái Anh Nhan, NUI Galway
- Olga O'Mahony, NUI Galway
- Lei Ren, NUI Galway
- Stephen Russell, NUI Galway
National University of Ireland, Galway, University Road, Galway, Ireland.
Phone: +353 (0)91 492332 (direct) , +353 (0)91 524411 x2332 (switchboard)
Fax: +353 (0)91 494542 Email: Mary.Kelly@nuigalway.ie
This page was last updated Wednesday, May 14