Dr Niall Madden
Research
My area of research is Numerical Analysis and Computational Mathematics. I am particularly interested
in the design and analysis of novel discretizations and/or linear
solvers for singularly perturbed
differential equations, and in the application of novel methods in
numerical modelling. For details on interests, publications and
projects, see
my research page.
There are also links to my publications on Google Scholar,
and
my NUI
Galway institutional website.
If you share these interests, and would like join our
group as a postdoctoral, graduate, or undergraduate researcher,
please contact me to discuss possible sources of funding.
|
Teaching 2019/2020
Semester I:
- MA284:
Discrete Mathematics
- MA385:
Numerical Analysis I
|
Semester II:
- CS211: Programming and Operating Systems
- CS319: Scientific Computing
|
See also my teaching archive:
a list of all courses that I have taught since September
2000. It contains links to some online content for those courses.
News
-
[Apr 2020] I'll be participating in the
17th Workshop
on Numerical Methods for Problems with Layer Phenomena
Limerick, 6-7 April, which is dediated to the memory of the late
Piet
Hemker.
-
[Dec 2019] I am very excited to be an invited speaker at
IWCMAC 2019: the
International Workshop And Conference on Mathematical Analysis
and Computation, National Institute of Technology,
Tiruchirappalli, India.
-
[Sep 2019] I am one of the local organisers of "ILAS 2020: the
23rd Conference of the
International Linear Algebra Society here in Galway in
June 2020. As part of the conference,
Scott MacLachlan and I are organising a
mini-symposium
on Numerical Linear Algebra for PDEs.
-
[Jan 2019] I've started organising a
weekly Coffee
and Cake (and mathematics) gathering, under the auspices of the
de Brún Centre for Mathematics. All are welcome. The time
and day changes every week, so please keep an eye on
the
website.
-
[Aug 2018] A paper on boundary layer preconditioners for FEMs, by
Thái, Scott and me, has just appeared in
Numerical Algorithms
-
[July 2018] I'm honoured to be appointed Vice Dean for Equality,
Diversity and Inclusion for
the College of
Science, NUI Galway.
-
[May 2018] I participated in a workshop
on Adaptive
Numerical Methods for Partial Differential Equations with
Applications at the Banff
International Research Station.
-
[Feb-Jun 2018] I was sabbatical leave for 6 months, and was
primarily based at
the Department of Mathematics
and Statistics, Memorial University of Newfoundland.
-
[Jan 2018] Stephen Russell and I have just submitted a paper on
a sparse
grid method for a 3D singularly perturbed problem.
-
[Jan 2018] I visited The Beijing Computational Science
Research Centre for a week from 15 Jan.
I
will give
a seminar on preconditioning for FEM
discretizations, based on recent work with Thái Anh
Nhan and Scott MacLachlan.
-
[Dec 2017] I am giving a week-long
Short Term Course On
Theory and Computation of Singularly Perturbed Differential
Equations,
organised by Department of Mathematics, IIT (BHU), Varanasi
Supported by MHRD
under GIAN
(Global Initiative for Academic Networks).
The workshop is hosted
by Sunil
Kumarl I will be delivering the short course content along
with him, and Prof. L.P. Singh of Indian Institute of Technology
(BHU), Varanasi.
You can access some of the materials I have prepared at
http://www.maths.nuigalway.ie/~niall/TCSPDEs2017/
-
[Dec 2017]
Our NUI Galway SIAM
Student Chapter hosted
the 4th
annual Irish SIAM Student Chapter Conference, on 1st
December. The meeting was opened by Dr Adrienne Gorman, Vice-dean
for Research, College of Science, and featured plenary talks by Dr
Nicole Beisiegel, UCD, and Dr Catherine Enright, Valeo Vision
Systems.
-
[Sep 2017] I'll be giving a talk at
the 3rd
Irish Linear Algebra and Matrix Theory Meeting, Maynooth
University Department of Mathematics & Statistics, 8th September.
-
[June 2017] I'll be attending
the The 27th
Biennial Numerical Analysis Conference in Strathclyde,
Glasgow. With Natalia Kopteva (Limerick), Torsten Linß (Hagen),
I'll be organising a mini-symposium on Advances in the robust
solution of singularly perturbed differential equations.
[June 2017] I am one of the organisers of
the
2017
Stokes Modelling Workshop here at NUI Galway, which is supported
by MI-NET, the Mathematics
for Industry Network COST Action. The workshop takes place 6-9 June.
-
[May 2017]
Our SIAM
Student Chapter will host the 6th annual UK and Ireland
SIAM
National Student Chapter Conference, in Galway in May
2017.
-
[April 2017] I organised
the 14th Annual
Workshop on Numerical Methods for Problems with Layer
Phenomena at NUI Galway, 6-7 April, 2017.
-
[Jan 2017] My paper with Stephen Russell,
An
introduction to the analysis and (MATLAB) implementation of Sparse
Grid Finite Element Methods,
has been published in
Computational Methods in Applied Mathematics.
doi:10.1515/cmam-2016-0042 .
Source code (and the arxiv version) are available from
https://github.com/niallmadden/SparseGrids/
- More news below.
- I am one of the organisers of
the Stokes
Modelling Workshop For Undergraduate Students, NUI Galway, June 13th-16th, 2016.
- I am organising
the 14th Annual
Workshop on Numerical Methods for Problems with Layer
Phenomena at NUI Galway, 6-7 April, 2017.
- I am faculty adviser for
the NUI
Galway Student Chapter of SIAM , the first such chapter established
on the island of Ireland.
Our SIAM Chapter organised annual conferences in
2014
and
2015.
- Member of the editorial board
of Numerical
Algorithms, published by Springer.
- I am the director of the NUI
Galway Bachelor
Of Science: Computer Science programme. Here
are some
reasons to study Computer Science as part of your undenominated
Science degree (GY301) at NUI Galway.
- I am the NUI Galway Academic Director of Modular Programme in
Science and
Technology Studies
- I am a member of the NUI
Galway Athena
SWAN Self-Appraisal Team; we are preparing an application for
an institutional Athena SWAN Bronze award.
- I am the secretary of the NUI
Galway Staff Club,
where you'll find the finest coffee on campus.
- I was one of the organisers of
the 6thde
Brún Workshop on
Linear Algebra and Matrix Theory, 3rd-7th December 2012, and
the 1st
Irish Linear Algebra and Matrix Theory Meeting, 8th December 2012.
- In 2010, as part of
my sabbatical year I was a
Long Term Visitor at
the Institute for
Mathematics and Its Applications (IMA), taking part in the
thematic programme "Simulating Our Complex World:
Modeling, Computation and Analysis".
- Memberships:
- Research affiliations:
- Short courses:
- I was one of the organisers of
ISUME3, the 3rd Irish Symposium for
Undergraduate Mathematics Education, 15-16 December, 2006, National University of Ireland, Galway.