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.

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.

Mathematics, particularly computational methods and development of algorithms.