Dr Niall Madden

Senior Lecturer in the School of Mathematics, Statistics and Applied Mathematics, NUI, Galway, Ireland. Email: Niall.Madden@NUIGalway.ie Phone: (353) 91 493803  (direct line) ,  Internal:x3803 Office: ADB-1013, Arás de Brún. ORCID: orcid.org/0000-0002-4327-4234 Affiliations: The de Brún Centre for Mathematics, The Stokes Applied Mathematics Cluster, The Ryan Institute See also: My institutional website and Google Scholar profile

Research

Teaching 2018/2019

Final year Project ideas, Semester 1 and 2, 2018/2019.

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

• [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.

Other contributions and roles

• 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 6^thde Brún Workshop on Linear Algebra and Matrix Theory, 3rd-7th 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:
  • Irish Mathematical Society
  • The Society for Industrial and Applied Mathematics (SIAM), and it's UK and Ireland section.
  • The International Linear Algebra Society (ILAS).
  • Association for Women in Mathematics (AWM).
• Research affiliations:
  • The Stokes Cluster for Applied Mathematics (which I am heading 2014-2017).
  • the de Brún Centre
  • Irish Research Group on Singularly Perturbed Differential Equations
  • Ryan Institute (Modelling and Informatics)
  • CORE: Complex Systems Research Centre
• Short courses:
  • MACSI One Day Graduate Course on Numerical Solution to Differential Equations using MATLAB, NUI Galway 3rd of April 2007.
  • An introduction to MATLAB for the Stokes Modelling Workshop, June 2015.
  • An introduction to Maple for the Stokes Modelling Workshop, June 2016. You can also download the Maple file
  • An introduction to Chebfun for Differential Equations, also for the Stokes Modelling Workshop, June 2016. If you are not very familiar with MATLAB, you should first work through at my one-page Introduction to MATLAB. You may also need chebpde1.m.
• 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.

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