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)

Layer-adapted meshes for singularly perturbed problems via mesh partial differential equations and a posteriori information - Róisín Hill; Niall Madden (CoRR, 2023)

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

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 (CoRR, 2021)

First-Order System Least Squares Finite-Elements for Singularly Perturbed Reaction-Diffusion Equations - James H. Adler; Scott P. MacLachlan; Niall Madden (Large-Scale Scientific Computing - 12th International Conference, LSSC 2019, Sozopol, Bulgaria, June 10-14, 2019, Revised Selected Papers, 2019)

First-order system least squares finite-elements for singularly perturbed reaction-diffusion equations - James H. Adler; Scott P. MacLachlan; Niall Madden (CoRR, 2019)

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

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

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

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

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)

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 (Numerical Analysis and Its Applications - 5th International Conference, NAA 2012, Lozenetz, Bulgaria, June 15-20, 2012, Revised Selected Papers, 2012)

Clinical Time Series Data Analysis Using Mathematical Models and DBNs - Catherine G. Enright; Michael G. Madden; Niall Madden; John G. Laffey (Artificial Intelligence in Medicine - 13th Conference on Artificial Intelligence in Medicine, AIME 2011, Bled, Slovenia, July 2-6, 2011. Proceedings, 2011)

Modelling Glycaemia in ICU Patients - A Dynamic Bayesian Network Approach - Catherine G. Enright; Michael G. Madden; Stuart Russell; Norm Aleks; Geoffrey T. Manley; John G. Laffey; Brian Harte; Anne Mulvey; Niall Madden (BIOSIGNALS 2010 - Proceedings of the Third International Conference on Bio-inspired Systems and Signal Processing, Valencia, Spain, January 20-23, 2010, 2010)

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

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)

Second Irish Conference on the Mathematical Foundations of Computer Science and Information Technology, MFCSIT 2002, Galway, Ireland, July 18-19, 2002 - Sharon Flynn; Ted Hurley; Mícheál Mac an Airchinnigh; Niall Madden; Michael McGettrick; Michel P. Schellekens; Anthony Karel Seda (Elsevier, 2003)