A finite element analysis of a coupled system of singularly perturbed reaction-diffusion equations. - Torsten Linß; Niall Madden (Appl. Math. Comput., 2004)

Accurate Solution of a System of Coupled Singularly Perturbed Reaction-diffusion Equations. - Torsten Linß; Niall Madden (Computing, 2004)

Grid equidistribution for reaction-diffusion problems in one dimension. - Natalia Kopteva; Niall Madden; Martin Stynes (Numer. Algorithms, 2005)

Modelling Glycaemia in ICU Patients - A Dynamic Bayesian Network Approach. - Catherine G. Enright; Michael G. Madden; Stuart Russell 001; Norm Aleks; Geoffrey T. Manley; John G. Laffey; Brian Harte; Anne Mulvey; Niall Madden (BIOSIGNALS, 2010)

Clinical Time Series Data Analysis Using Mathematical Models and DBNs. - Catherine G. Enright; Michael G. Madden; Niall Madden; John G. Laffey (AIME, 2011)

hp Finite Element Methods for Fourth Order Singularly Perturbed Boundary Value Problems. - Christos Xenophontos; Jens Markus Melenk; Niall Madden; Lisa Oberbroeckling; Pandelitsa Panaseti; Antri Zouvani (NAA, 2012)

Bayesian networks for mathematical models: Techniques for automatic construction and efficient inference. - Catherine G. Enright; Michael G. Madden; Niall Madden (Int. J. Approx. Reason., 2013)

Robust Solution of Singularly Perturbed Problems Using Multigrid Methods. - Scott P. MacLachlan; Niall Madden (SIAM J. Sci. Comput., 2013)

A multiscale sparse grid finite element method for a two-dimensional singularly perturbed reaction-diffusion problem. - Niall Madden; Stephen Russell 005 (Adv. Comput. Math., 2015)

An optimal time-stepping algorithm for unsteady advection-diffusion problems. - Naresh M. Chadha; Niall Madden (J. Comput. Appl. Math., 2016)

An Introduction to the Analysis and Implementation of Sparse Grid Finite Element Methods. - Stephen Russell 005; Niall Madden (Comput. Methods Appl. Math., 2017)

Boundary layer preconditioners for finite-element discretizations of singularly perturbed reaction-diffusion problems. - Thái Anh Nhan; Scott P. MacLachlan; Niall Madden (Numer. Algorithms, 2018)

First-Order System Least Squares Finite-Elements for Singularly Perturbed Reaction-Diffusion Equations. - James H. Adler; Scott P. MacLachlan; Niall Madden (LSSC, 2019)

An analysis of diagonal and incomplete Cholesky preconditioners for singularly perturbed problems on layer-adapted meshes. - Thái Anh Nhan; Niall Madden (J. Appl. Math. Comput., 2021)

A Boundary-Layer Preconditioner for Singularly Perturbed Convection Diffusion. - Scott P. MacLachlan; Niall Madden; Thái Anh Nhan (SIAM J. Matrix Anal. Appl., 2022)

Layer-adapted meshes for singularly perturbed problems via mesh partial differential equations and a posteriori information. - Róisín Hill; Niall Madden (Comput. Math. Appl., 2024)

A finite difference scheme for two-dimensional singularly perturbed convection-diffusion problem with discontinuous source term. - Ram Shiromani; Niall Madden; Vembu Shanthi (CoRR, 2024)