Research output per year
Research output per year
Personal profile
Biography
BSc (Mathematics and Computing) UCG, 1994 MSc (Mathematics) UCC, 1996 PhD (Mathematics) NUI Cork, 2000
Personal Webpage: www.niallmadden.ie
My research is mainly in the field of numerical analysis, particularly on algorithms for the approximate solution of differential equations. I have particular expertise in solving singularly perturbed differential equations , by finite element and finite difference methods, and in algorithms for solving resulting linear systems, and adaptive mesh generation. I am also active in the application of novel methods to problems in numerical modelling. I joined University of Galway (then called NUI Galway) as a lecturer in Mathematics in 2000, shortly after completing a PhD in Mathematics at UCC. My doctoral research combined applied and theoretical numerical analysis of equations arising in this area of fluid dynamics. From July 2018 to March 2020, I was the Vice dean for Equality, Diversity and Inclusion for the College of Science in NUI Galway. I've been involved University of Galway's thena SWAN activities, and I was a member of our SAT from its foundation in 2015 to 2021. I chaired our School SAT when we were awarded a AS Bronze Award. I was a member of the NUI Galway Gender Equality Task Force chaired by Prof. Jane Grimson.
Research Interests
Numerical analysis of singularly perturbed differential equations. Finite element and finite difference methods. Layer resolving meshes. Numerical linear algebra.
Scientific computing with applications in engineering and medicine.
Teaching Interests
Mathematics, particularly computational methods and development of algorithms.
Expertise related to UN Sustainable Development Goals
In 2015, UN member states agreed to 17 global Sustainable Development Goals (SDGs) to end poverty, protect the planet and ensure prosperity for all. This person’s work contributes towards the following SDG(s):
Education/Academic qualification
BSc, MSc, PhD
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Collaborations and top research areas from the last five years
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Dispersion of Volatile Contaminant in an Open Channel Flow Using a Fitted Operator Approach
Madden, N., 1 Oct 2024, 2nd International Conference on Nonlinear Dynamics and Applications. Sikkim Manipal Institute of TechnologyResearch output: Chapter in Book or Conference Publication/Proceeding › Conference Publication › peer-review
Open Access -
Hydrodynamic Dispersion of Volatile Contaminant in an Open Channel Flow Using a Fitted Operator Approach
Saha, G., Poddar, N., Mondal, K. K. & Madden, N., 2024, Proceedings of the 2nd International Conference on Nonlinear Dynamics and Applications (ICNDA 2024) - Complex Systems, Fractals and Nonlinear Flows. Saha, A. & Banerjee, S. (eds.). Springer Science and Business Media Deutschland GmbH, p. 674-687 14 p. (Springer Proceedings in Physics; vol. 315 SPP).Research output: Chapter in Book or Conference Publication/Proceeding › Conference Publication › peer-review
1 Citation (Scopus) -
Layer-adapted meshes for singularly perturbed problems via mesh partial differential equations and a posteriori information
Hill, R. & Madden, N., 15 Aug 2024, In: Computers and Mathematics with Applications. 168, p. 1-9 9 p.Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review
Open Access -
Numerical modelling of dispersion of suspended particles in a turbulent open channel flow: A fitted operator approach
Chadha, N. M., Poddar, N., Madden, N. & Mondal, K. K., 5 Aug 2024, Emerging Trends in Mathematical Sciences and Computing. Nova Science Publishers, Inc., p. 140-156 17 p.Research output: Chapter in Book or Conference Publication/Proceeding › Chapter › peer-review
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The Gender Pay Gap and Irish Higher Education: University of Galway, a Case Study
Loftus, L., Madden, N., Scott, P. A., Cooke, A. & McNicholas, N., Nov 2023, In: Administrative Sciences. 13, 11, 239.Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review
Open Access
Activities
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27th Biennial Numerical Analysis Conference
Madden, N. (Co-chaired Session)
27 Jun 2017 → 30 Jun 2017Activity: Participating in or organising an event › Participating in a conference, workshop, ...
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The SIAM UKIE National Student Chapter Conference
Madden, N. (Conference Organising Committee Member)
26 May 2017Activity: Participating in or organising an event › Participating in a conference, workshop, ...
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14th Annual Workshop on Numerical Methods for Problems with Layer Phenomena
Madden, N. (Conference Organising Committee Chairperson)
6 Apr 2017 → 7 Apr 2017Activity: Participating in or organising an event › Organising a conference, workshop, ...
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Equality and Diversity Committee, School of Mathematical and Statistical Sciences. (Internal) (External organisation)
Madden, N. (Member)
1 Mar 2017 → …Activity: Membership › Membership of committee
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Executive, School of Mathematics, Statistics and Applied Mathematics(Internal) (External organisation)
Madden, N. (Member)
1 Sep 2016 → …Activity: Membership › Membership of committee