Photo of Niall from 2018

Dr Niall Madden

Senior Lecturer (Associate Professor)
School of Mathematical and Statistical Sciences,
University of Galway, Ireland.

ORCID: ORCID iD iconorcid.org/0000-0002-4327-4234
Profiles: University of Galway (new),   University of Galway (new),   and Google Scholar profile

About me

I am a Senior Lecturer (Associate Professor) in Mathematics, in the School of Mathematical and Statistical Sciences, at the University of Galway (formerly called NUI Galway). My research is in the area of numerical analysis, particularly finite element and finite difference methods for differential equations. My teaching covers a broad range of undergraduate and graduate modules in theoretical and computational mathematics. I contribute to the community at University of Galway, and broader mathematical community, in various ways including, at present, as Head of Mathematics, May 2023-May 2025 (excluding July- December 2023). I'm an associate editor for Numerical Algorithms (Springer), and I was one of the local of ILAS 2022: the 24th Conference of the International Linear Algebra Society which was held here in Galway in June 2022.

Research

Finite Elements ◉ Finite Differences ○ PDEs ◌ Singularly Perturbed Problems ◍ Boundary and Interior Layers ◎ Numerical Linear Algebra ● Preconditioners ◐ Sparse Grids ◑ Mesh Adaptivity ◒ Software

Publications

  • Gourab Saha, Nanda Poddar, Kajal Kumar Mondal, and Niall Madden. Hydrodynamic Dispersion of Volatile Contaminant in an Open Channel Flow Using a Fitted Operator Approach In: Saha, A., Banerjee, S. (eds) Proc 2nd International Conference on Nonlinear Dynamics and Applications (ICNDA 2024). Springer Proc in Physics, vol 315. doi.org/10.1007/978-3-031-69134-8_47
  • Naresh M. Chadha, Nanda Poddar, Niall Madden, Kajal Kumar Mondal. Numerical Modelling of Dispersion of Suspended Particles in a Turbulent Open Channel Flow: A Fitted Operator Approach. Emerging Trends in Mathematical Sciences and Computing. 2024. doi.org/10.52305/VTTP1252".
  • Róisín Hill and Niall Madden. Layer-adapted meshes for singularly perturbed problems via mesh partial differential equations and a posteriori information. Computers & Mathematics with Applications, Volume 168, 2024, Pages 1-9. doi.org/10.1016/j.camwa.2024.05.019 (Open Access).
  • Ram Shiromani, Niall Madden,and V. Shanthi. A finite difference scheme for two-dimensional singularly perturbed convection-diffusion problem with discontinuous source term. Jan 2024. arXiv:2401.02331
  • Laura Loftus, Niall Madden, P. Anne Scott, Aoife Cooke, and Nichola McNicholas. The Gender Pay Gap and Irish Higher Education: University of Galway, a Case Study. Adm. Sci. 2023, 13(11), 239. https://doi.org/10.3390/admsci13110239
  • Scott P. MacLachlan, Niall Madden, Thái Anh Nhan. A Boundary-Layer Preconditioner for Singularly Perturbed Convection Diffusion. SIAM J. Matrix Anal. Appl. 43 (2022), no. 2, 561–583. https://doi.org/10.1137/21M1443297. arXiv: arxiv.org/abs/2108.13468.

Full list

Presentations

Full list

Team: Present

  • Róisín Hill, Postdoctoral Researcher. Oct-Dec 2024. Funding: HEA Gender Action Fund.
  • Nanda Poddar. Postdoctoral Researcher. Oct 2024-Oct 2026. Funding: Irish Research Council.
  • Jekaterina Mosalska. PhD student. Sep 2024--
  • Sean Tobin. PhD student. Aug 2024--

Team: Past (since 2015)

  • Róisín Hill. PhD 2022. Funding: Irish Research Council.
  • Faiza Alssaedi. PhD 2021. Funding: NUI Galway and Government of Libya.
  • Thái Anh Nhan PhD 2015, and MSc 2011. Funding: Irish Research Council, and Science Foundation Ireland.
  • Stephen Russell. PhD 2016, and MSc 2012. Funding: NUI Galway.

Teaching

Academic Year 2024/2025

Semester 1

  • MA140: Engineering Mathematics

Semester 2

  • CS319: Scientific Computing
  • CS4423: Networks
[My teaching contributions in previous years.]

Contributions and Leadership

  • May 2023-Apr 2025: Head of Discipline Mathematics, School of Mathematical and Statistical Sciences, University of Galway.
  • Sep 2023-Present: Member of the Irish Committee for Equality, Diversity and Inclusion in Mathematics (ICEDIM).
  • Jan-Jun 2022: Head of Discipline Mathematics (interim), School of Maths, University of Galway.
  • 2016-present: Associate Editor for Numerical Algorithms (Springer).
  • May 2019-Jun 2023: Director of Equality Diversity and Inclusion, School of Mathematical and Statistical Sciences, and member of the EDI committee of the College of Science and Engineering.
  • University of Galway SIAM Chapter: Faculty Advisor.

News

Contact

Postal address:

School of Mathematical and Statistical Sciences
Arás de Brún
University of Galway
University Rd.
Galway
Ireland H91 TK33