Dr Niall Madden
School of Mathematics, Statistics
and Applied Mathematics,
NUI, Galway, Ireland.
Email: Niall.Madden@NUIGalway.ie
Phone: (353) 91 493803 (direct line)
, Internal:x3803
Office: ADB1013, Arás de
Brún.


I am lecturer in Mathematics at NUI Galway. My research
interests are mostly concerned the analysis of numerical schemes for
differential equations.
I teach courses in Mathematics at all undergraduate and postgraduate
levels; many of these courses have an emphasis on computational
mathematics.


News

[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 minisymposium 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 MINET, the Mathematics
for Industry Network COST Action. The workshop takes place 69 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, 67 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/cmam20160042 .
Source code (and the arxiv version) are available from
https://github.com/niallmadden/SparseGrids/

[Dec 2016] I give a plenary talk at the
2016 UL SIAM
Student Conference, 7 December, University of Limerick.

[Jul 2016] I gave a 2 day short course on
Numerical Analysis of Singularly Perturbed Differential
Equations
at the 2016
AARMSCRM Workshop on Numerical Analysis of Singularly Perturbed
Differential Equations, July 2529, in Halifax, Nova
Scotia.

 More news below.
Research
My area of research is Numerical Analysis. I am particularly interested
in the design and analysis of numerical methods 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 my Google Scholar profile,
and my IRIS profile.
Teaching 2016/2017
Suggestions for final year
and masters project Topics (16/17).
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.
 I am one of the organisers of
the Stokes
Modelling Workshop For Undergraduate Students, NUI Galway, June 13th16th, 2016.
 I am organising
the 14th Annual
Workshop on Numerical Methods for Problems with Layer
Phenomena at NUI Galway, 67 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 SelfAppraisal 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 6^{th}de
Brún Workshop on
Linear Algebra and Matrix Theory, 3rd7th December 2012, and
the 1^{st}
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, 1516 December, 2006, National University of Ireland, Galway.