Niall Madden

Publication Activity (10 Years)

Years Active: 2004-2024
Publications (10 Years): 11

Top Topics

Finite Element Methods

Diffusion Equation

Top Venues

SIAM J. Matrix Anal. Appl.

J. Comput. Appl. Math.

Comput. Math. Appl.

Publications

Ram Shiromani, Niall Madden, Vembu Shanthi
A finite difference scheme for two-dimensional singularly perturbed convection-diffusion problem with discontinuous source term. CoRR (2024)
Róisín Hill, Niall Madden
Layer-adapted meshes for singularly perturbed problems via mesh partial differential equations and a posteriori information. Comput. Math. Appl. 168 (2024)
Róisín Hill, Niall Madden
Layer-adapted meshes for singularly perturbed problems via mesh partial differential equations and a posteriori information. CoRR (2023)
Scott P. MacLachlan, Niall Madden, Thái Anh Nhan
A Boundary-Layer Preconditioner for Singularly Perturbed Convection Diffusion. SIAM J. Matrix Anal. Appl. 43 (2) (2022)
Thái Anh Nhan, Niall Madden
An analysis of diagonal and incomplete Cholesky preconditioners for singularly perturbed problems on layer-adapted meshes. J. Appl. Math. Comput. 65 (1-2) (2021)
Scott P. MacLachlan, Niall Madden, Thái Anh Nhan
A Boundary-Layer Preconditioner for Singularly Perturbed Convection Diffusion. CoRR (2021)
James H. Adler, Scott MacLachlan, Niall Madden
First-order system least squares finite-elements for singularly perturbed reaction-diffusion equations. CoRR (2019)
James H. Adler, Scott MacLachlan, Niall Madden
First-Order System Least Squares Finite-Elements for Singularly Perturbed Reaction-Diffusion Equations. LSSC (2019)
Thái Anh Nhan, Scott MacLachlan, Niall Madden
Boundary layer preconditioners for finite-element discretizations of singularly perturbed reaction-diffusion problems. Numer. Algorithms 79 (1) (2018)
Stephen Russell, Niall Madden
An Introduction to the Analysis and Implementation of Sparse Grid Finite Element Methods. Comput. Methods Appl. Math. 17 (2) (2017)
Naresh M. Chadha, Niall Madden
An optimal time-stepping algorithm for unsteady advection-diffusion problems. J. Comput. Appl. Math. 294 (2016)
Niall Madden, Stephen Russell
A multiscale sparse grid finite element method for a two-dimensional singularly perturbed reaction-diffusion problem. Adv. Comput. Math. 41 (6) (2015)
Scott MacLachlan, Niall Madden
Robust Solution of Singularly Perturbed Problems Using Multigrid Methods. SIAM J. Sci. Comput. 35 (5) (2013)
Catherine G. Enright, Michael G. Madden, Niall Madden
Bayesian networks for mathematical models: Techniques for automatic construction and efficient inference. Int. J. Approx. Reason. 54 (2) (2013)
Christos Xenophontos, Jens Markus Melenk, Niall Madden, Lisa Oberbroeckling, Pandelitsa Panaseti, Antri Zouvani
hp Finite Element Methods for Fourth Order Singularly Perturbed Boundary Value Problems. NAA (2012)
Catherine G. Enright, Michael G. Madden, Niall Madden, John G. Laffey
Clinical Time Series Data Analysis Using Mathematical Models and DBNs. AIME (2011)
Catherine G. Enright, Michael G. Madden, Stuart J. Russell, Norm Aleks, Geoffrey T. Manley, John G. Laffey, Brian Harte, Anne Mulvey, Niall Madden
Modelling Glycaemia in ICU Patients - A Dynamic Bayesian Network Approach. BIOSIGNALS (2010)
Natalia Kopteva, Niall Madden, Martin Stynes
Grid equidistribution for reaction-diffusion problems in one dimension. Numer. Algorithms 40 (3) (2005)
Torsten Linß, Niall Madden
A finite element analysis of a coupled system of singularly perturbed reaction-diffusion equations. Appl. Math. Comput. 148 (3) (2004)
Torsten Linß, Niall Madden
Accurate Solution of a System of Coupled Singularly Perturbed Reaction-diffusion Equations. Computing 73 (2) (2004)