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Mathematical and Statistical Sciences
Dr Niall Madden
Contact Details
School of Mathematics Statistics
& Applied Mathematics
Room 213, Aras na Brun
NUI Galway
T: Ext. 3803
E: niall.madden@nuigalway.ie
Biography
Research Interests
Research Projects
Project  Start Date  End Date  

IRC POSTGRADUATE SCHOLARSHIP 2017 RÓISÍN HILL  BALANCED DISCONTINUOUS GALERKIN METHODS FOR FLUID FLOW PROBLEMS: DESIGN, IMPLEMENTATION AND APPLICATION  01OCT17  30SEP21  
Stokes Modelling Workshop: Mathematics for Industry COST Action (MINET)  05JUN17  09JUN17  
SIAM UK AND IRELAND NATIONAL STUDENT CONFERENCE 2017  27MAR17  26MAY17  
IRCSET EMBARK POSTGRAD MULTIGRID METHODS FOR SINGULARLY PERTURBED PROBLEMS (ANH THAI NHAN) RS/2011/179 NIALL MADDEN  01SEP11  31AUG15  
SFI RFP NUMERICAL MODELLING OF ADVECTIONDIFFUSION  01SEP08  01NOV12  
IRCSET EMBARK 04 MEGHAN STEPHENS MADDEN  01SEP04  30APR09  
MF2005 FAST PARALLEL SOLVERS N MADDEN  01NOV05  19JUN09  
MF2003 MF 89 03 M NIALL MADDEN  01JAN04  28FEB07 
Contract Researchers
Researcher Name  Project  Role  Funding Body  

Naresh Mohan Chadha  RFP/CMS/1205  Postdoctoral researcher  
Kajal Kumar Mondol  Novel methods for modelling dispersion of polutants  Postdoctoral researcher 
Peer Reviewed Journals
Year  Publication  

(2020)  'An analysis of diagonal and incomplete Cholesky preconditioners for singularly perturbed problems on layeradapted meshes'
Nhan, TA,Madden, N (2020) 'An analysis of diagonal and incomplete Cholesky preconditioners for singularly perturbed problems on layeradapted meshes'. Journal Of Applied Mathematics And Computing, [DOI] [Details] 

(2020)  'ANALYSIS OF A GALERKIN FINITE ELEMENT METHOD APPLIED TO A SINGULARLY PERTURBED REACTIONDIFFUSION PROBLEM IN THREE DIMENSIONS'
Russell, S,Madden, N (2020) 'ANALYSIS OF A GALERKIN FINITE ELEMENT METHOD APPLIED TO A SINGULARLY PERTURBED REACTIONDIFFUSION PROBLEM IN THREE DIMENSIONS'. International Journal Of Numerical Analysis And Modeling, 17 :297315 [Details] 

(2020)  'Finite element modelling of geophysical electromagnetic data with goaloriented hradaptivity'
Jahandari, H,MacLachlan, S,Haynes, RD,Madden, N (2020) 'Finite element modelling of geophysical electromagnetic data with goaloriented hradaptivity'. Computational Geosciences, [DOI] [Details] 

(2018)  'Boundary layer preconditioners for finiteelement discretizations of singularly perturbed reactiondiffusion problems'
Nhan, TA,MacLachlan, S,Madden, N (2018) 'Boundary layer preconditioners for finiteelement discretizations of singularly perturbed reactiondiffusion problems'. Numerical Algorithms, 79 :281310 [DOI] [Details] 

(2017)  'An Introduction to the Analysis and Implementation of Sparse Grid Finite Element Methods'
Russell, S., Madden, N. (2017) 'An Introduction to the Analysis and Implementation of Sparse Grid Finite Element Methods'. Computational Methods In Applied Mathematics, 17 :299322 [DOI] [Details] 

(2016)  'A firstorder system PetrovGalerkin discretization for a reactiondiffusion problem on a fitted mesh'
Adler, J.; MacLachlan, S.; Madden, N. (2016) 'A firstorder system PetrovGalerkin discretization for a reactiondiffusion problem on a fitted mesh'. Ima Journal Of Numerical Analysis, 36 :12811309 [DOI] [Details] 

(2016)  'A C1conforming hp finite element method for fourth order singularly perturbed boundary value problems'
Panaseti, P,Zouvani, A,Madden, N,Xenophontos, C (2016) 'A C1conforming hp finite element method for fourth order singularly perturbed boundary value problems'. Applied Numerical Mathematics, 104 :8197 [DOI] [Details] 

(2016)  'An optimal timestepping algorithm for unsteady advectiondiffusion problems'
Chadha, NM,Madden, N (2016) 'An optimal timestepping algorithm for unsteady advectiondiffusion problems'. Journal Of Computational And Applied Mathematics, 294 :5777 [DOI] [Details] 

(2015)  'A multiscale sparse grid finite element method for a twodimensional singularly perturbed reactiondiffusion problem'
Madden, N,Russell, S (2015) 'A multiscale sparse grid finite element method for a twodimensional singularly perturbed reactiondiffusion problem'. Advances In Computational Mathematics, 41 :9871014 [DOI] [Details] 

(2013)  'Robust solution of singularly perturbed problems using multigrid methods'
MacLachlan, Scott and Madden, Niall (2013) 'Robust solution of singularly perturbed problems using multigrid methods'. SIAM J. Sci. Comput, 35 (5):22252254 [DOI] [Details] 

(2013)  'Bayesian networks for mathematical models: Techniques for automatic construction and efficient inference'
Enright, CG,Madden, MG,Madden, N (2013) 'Bayesian networks for mathematical models: Techniques for automatic construction and efficient inference'. International Journal Of Approximate Reasoning, 54 :323342 [DOI] [Details] 

(2012)  'John Todd and the development of modern numerical analysis'
Niall Madden (2012) 'John Todd and the development of modern numerical analysis'. Bulletin Of The Irish Mathematical Society, 69 (Summer):1123 [ARAN Link] [Details] 

(2010)  'ANALYSIS OF AN ALTERNATING DIRECTION METHOD APPLIED TO SINGULARLY PERTURBED REACTIONDIFFUSION PROBLEMS'
Linss, T;Madden, N (2010) 'ANALYSIS OF AN ALTERNATING DIRECTION METHOD APPLIED TO SINGULARLY PERTURBED REACTIONDIFFUSION PROBLEMS'. International Journal Of Numerical Analysis And Modeling, 7 :507519 [Details] 

(2010)  'ANALYSIS OF AN ALTERNATING DIRECTION METHOD APPLIED TO SINGULARLY PERTURBED REACTIONDIFFUSION PROBLEMS'
Linss, T,Madden, N (2010) 'ANALYSIS OF AN ALTERNATING DIRECTION METHOD APPLIED TO SINGULARLY PERTURBED REACTIONDIFFUSION PROBLEMS'. International Journal Of Numerical Analysis And Modeling, 7 :507519 [Details] 

(2009)  'A ParameterUniform Schwarz Method for a Coupled System of Reaction Diffusion Equations'
Stephens, M., Madden, N. (2009) 'A ParameterUniform Schwarz Method for a Coupled System of Reaction Diffusion Equations'. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 230 (2):360370 [DOI] [Details] 

(2009)  'A twoscale sparse grid method for a singularly perturbed reactiondiffusion problem in two dimensions'
Liu, F,Madden, N,Stynes, M,Zhou, AH (2009) 'A twoscale sparse grid method for a singularly perturbed reactiondiffusion problem in two dimensions'. Ima Journal Of Numerical Analysis, 29 :9861007 [DOI] [Details] 

(2009)  'Layeradapted meshes for a linear system of coupled singularly perturbed reactiondiffusion problems'
Linss, T,Madden, N (2009) 'Layeradapted meshes for a linear system of coupled singularly perturbed reactiondiffusion problems'. Ima Journal Of Numerical Analysis, 29 :109125 [DOI] [Details] 

(2008)  'A parameterrobust numerical method for a system of reactiondiffusion equations in two dimensions'
Kellogg, RB,Madden, N,Stynes, M (2008) 'A parameterrobust numerical method for a system of reactiondiffusion equations in two dimensions'. Numerical Methods For Partial Differential Equations, 24 :312334 [DOI] [Details] 

(2007)  'Software for calculating blood lactate endurance markers'
Newell, J;Higgins, D;Madden, N;Cruickshank, J;Einbeck, J;McMillan, K;McDonald, R (2007) 'Software for calculating blood lactate endurance markers'. Journal Of Sports Sciences, 25 :14031409 [DOI] [Details] 

(2007)  'Parameter uniform approximations for timedependent reactiondiffusion problems'
Linss, T,Madden, N (2007) 'Parameter uniform approximations for timedependent reactiondiffusion problems'. Numerical Methods For Partial Differential Equations, 23 :12901300 [DOI] [Details] 

(2007)  'Software for calculating blood lactate endurance markers'
Newell, J ; Higgins, D; Madden, N; Cruickshank, J; Einbeck, J; McMillan, K; McDonald, R (2007) 'Software for calculating blood lactate endurance markers'. Journal Of Sports Sciences, [Details] 

(2005)  'Grid equidistribution for reactiondiffusion problems in one dimension'
Kopteva, N,Madden, N,Stynes, M (2005) 'Grid equidistribution for reactiondiffusion problems in one dimension'. Numerical Algorithms, 40 :305322 [DOI] [Details] 

(2004)  'Accurate solution of a system of coupled singularly perturbed reactiondiffusion equations'
Linss, T;Madden, N (2004) 'Accurate solution of a system of coupled singularly perturbed reactiondiffusion equations'. Computing, 73 :121133 [DOI] [Details] 

(2003)  'A uniformly convergent numerical method for a coupled system of two singularly perturbed linear reactiondiffusion problems'
Madden, N;Stynes, M (2003) 'A uniformly convergent numerical method for a coupled system of two singularly perturbed linear reactiondiffusion problems'. Ima Journal Of Numerical Analysis, 23 :627644 [Details] 

(2004)  'Accurate solution of a system of coupled singularly perturbed reactiondiffusion equations'
Linss, T,Madden, N (2004) 'Accurate solution of a system of coupled singularly perturbed reactiondiffusion equations'. Computing, 73 :121133 [DOI] [Details] 

(2004)  'A finite element analysis of a coupled system of singularly perturbed reactiondiffusion equations'
Linss, T,Madden, N (2004) 'A finite element analysis of a coupled system of singularly perturbed reactiondiffusion equations'. Applied Mathematics And Computation, 148 :869880 [DOI] [Details] 

(2003)  'An improved error estimate for a numerical method for a system of coupled singularly perturbed reactiondiffusion equations'
Linss, Torsten and Madden, Niall (2003) 'An improved error estimate for a numerical method for a system of coupled singularly perturbed reactiondiffusion equations'. Comput. Methods Appl. Math, 3 (3):417423 [DOI] [Details] 

(2003)  'An improved estimate for a numerical method for a system of coupled singularly perturbed reactiondiffusion equations'
Linss, T., Madden, N. (2003) 'An improved estimate for a numerical method for a system of coupled singularly perturbed reactiondiffusion equations'. COMPUTATIONAL METHODS IN APPLIED MATHEMATICS, 3 (3):417423 [Details] 

(2003)  'A uniformly convergent numerical method for a coupled system of two singularly perturbed linear reactiondiffusion problems'
Madden, N,Stynes, M (2003) 'A uniformly convergent numerical method for a coupled system of two singularly perturbed linear reactiondiffusion problems'. Ima Journal Of Numerical Analysis, 23 :627644 [Details] 

(1997)  'Efficient generation of oriented meshes for solving convectiondiffusion problems'
Madden, N,Stynes, M (1997) 'Efficient generation of oriented meshes for solving convectiondiffusion problems'. International Journal For Numerical Methods In Engineering, 40 :565576 [Details] 

(1996)  'Linear enhancements of the streamline diffusion method for convectiondiffusion problems'
Madden, N,Stynes, M (1996) 'Linear enhancements of the streamline diffusion method for convectiondiffusion problems'. Computers & Mathematics With Applications, 32 :2942 [Details] 
Book Chapters
Year  Publication  

(2020)  'FirstOrder System Least Squares FiniteElements for Singularly Perturbed ReactionDiffusion Equations'
James H. Adler, Scott MacLachlan, Niall Madden (2020) 'FirstOrder System Least Squares FiniteElements for Singularly Perturbed ReactionDiffusion Equations' In: LSSC 2019: LargeScale Scientific Computing. :314 Cham: Springer. [DOI] [Details] 

(2017)  'Applying a Patched Mesh Method to Efficiently Solve a Singularly Perturbed ReactionDiffusion Problem'
José Luis Gracia, Niall Madden, Thái Anh Nhan (2017) 'Applying a Patched Mesh Method to Efficiently Solve a Singularly Perturbed ReactionDiffusion Problem' In: Modeling, Simulation and Optimization of Complex Processes HPSC 2015. :4154 Cham: Springer. [DOI] [Details] 

(2015)  'A Multiscale Sparse Grid Technique for a TwoDimensional ConvectionDiffusion Problem with Exponential Layers'
Russell, S., Madden, N. (2015) 'A Multiscale Sparse Grid Technique for a TwoDimensional ConvectionDiffusion Problem with Exponential Layers' In: Boundary and interior layers, computational and asymptotic methods—BAIL 2014. :245255 Cham: Springer. [DOI] [Details] 

(2015)  'Cholesky Factorisation of Linear Systems Coming from Finite Difference Approximations of Singularly Perturbed Problems'
Nhan, T.A., Madden, N. (2015) 'Cholesky Factorisation of Linear Systems Coming from Finite Difference Approximations of Singularly Perturbed Problems' In: Boundary and interior layers, computational and asymptotic methods—BAIL 2014. :209220 Cham: Springer. [DOI] [Details] 

(2013)  'hp Finite Element Methods for Fourth Order Singularly Perturbed Boundary Value Problems'
Xenophontos, Christos; Melenk, Markus; Madden, Niall; Oberbroeckling, Lisa; Panaseti, Pandelitsa; Zouvan; Antri . (2013) 'hp Finite Element Methods for Fourth Order Singularly Perturbed Boundary Value Problems' In: Lecture Notes In Computer Science. :532539 Heidelberg: Springer. [DOI] [Details] 

(2011)  'Improved mathematical and numerical modelling of dispersion of a solute from a continuous source'
Niall Madden and Kajal Kumar Mondal (2011) 'Improved mathematical and numerical modelling of dispersion of a solute from a continuous source' In: Lecture Notes In Computational Science And Engineering. :177185 Heidelberg: Springer. [DOI] [ARAN Link] [Details] 

(2011)  'A twoweight scheme for a timedependent advectiondiffusion problem'
Chadha, Naresh M. and Madden, Niall (2011) 'A twoweight scheme for a timedependent advectiondiffusion problem' In: BAIL 2010  Boundary and Interior Layers, Computational and Asymptotic Methods. :99108 Heidelberg: Springer. [DOI] [Details] 

(2009)  'A Schwarz technique for a system of reaction diffusion equations with differing parameters'
Stephens, Meghan and Madden, Niall (2009) 'A Schwarz technique for a system of reaction diffusion equations with differing parameters' In: BAIL 2008  Boundary and Interior Layers. :247255 Berlin: Springer. [DOI] [Details] 
Conference Publications
Year  Publication  

(2010)  BIOSIGNALS 2010: PROCEEDINGS OF THE THIRD INTERNATIONAL CONFERENCE ON BIOINSPIRED SYSTEMS AND SIGNAL PROCESSING
Enright, CG;Madden, MG;Russell, S;Aleks, N;Manley, G;Laffey, J;Harte, B;Mulvey, A;Madden, N (2010) MODELLING GLYCAEMIA IN ICU PATIENTS A Dynamic Bayesian Network Approach BIOSIGNALS 2010: PROCEEDINGS OF THE THIRD INTERNATIONAL CONFERENCE ON BIOINSPIRED SYSTEMS AND SIGNAL PROCESSING , pp.452459 [Details] 

(2012)  APPLICATIONS OF MATHEMATICS 2012
Madden, N;Stynes, M (2012) A CURIOUS PROPERTY OF OSCILLATORY FEM SOLUTIONS OF ONEDIMENSIONAL CONVECTIONDIFFUSION PROBLEMS APPLICATIONS OF MATHEMATICS 2012 , pp.188196 [Details] 

(2015)  BOUNDARY AND INTERIOR LAYERS, COMPUTATIONAL AND ASYMPTOTIC METHODS  BAIL 2014
Nhan, TA;Madden, N (2015) Cholesky Factorisation of Linear Systems Coming from Finite Difference Approximations of Singularly Perturbed Problems BOUNDARY AND INTERIOR LAYERS, COMPUTATIONAL AND ASYMPTOTIC METHODS  BAIL 2014 , pp.209220 [DOI] [Details] 

(2015)  BOUNDARY AND INTERIOR LAYERS, COMPUTATIONAL AND ASYMPTOTIC METHODS  BAIL 2014
Russell, S;Madden, N (2015) A Multiscale Sparse Grid Technique for a TwoDimensional ConvectionDiffusion Problem with Exponential Layers BOUNDARY AND INTERIOR LAYERS, COMPUTATIONAL AND ASYMPTOTIC METHODS  BAIL 2014 , pp.245255 [DOI] [Details] 

(2016)  APPLIED NUMERICAL MATHEMATICS
Panaseti, P;Zouvani, A;Madden, N;Xenophontos, C (2016) A C1conforming hp finite element method for fourth order singularly perturbed boundary value problems APPLIED NUMERICAL MATHEMATICS , pp.8197 [DOI] [Details] 

(2012)  APPLICATIONS OF MATHEMATICS 2012
Niall Madden and Martin Stynes (2012) A curious property of oscillatory FEM solutions of onedimensional convectiondiffusion problems . In: J. Brandts, J. Chleboun, S. Korotov, K. Segeth, J. Šístek & T. Vejchodský eds. APPLICATIONS OF MATHEMATICS 2012 Prague, , 02MAY12  05MAY12 , pp.188196 [Details] 

(2011)  Proc. 13th Conference on Artificial Intelligence in Medicine
Catherine G. Enright; Michael G. Madden; Niall Madden; John G. Laffey (2011) Clinical Time Series Data Analysis Using Mathematical Models and DBNs . In: Mor Peleg and Nada Lavrac and Carlo Combi eds. Proc. 13th Conference on Artificial Intelligence in Medicine Slovenia, , pp.159168 [Details] 

(2010)  BIOSIGNALS 2010: PROCEEDINGS OF THE THIRD INTERNATIONAL CONFERENCE ON BIOINSPIRED SYSTEMS AND SIGNAL PROCESSING
Enright, C.G.; Madden, M.G.; Russell, S., Aleks, N.; Manley, G.; Laffey, J.; Harte, B.; Mulvey, A.; Madden, N.; Fred, A.; Filipe, J.; Gamboa, H. (2010) Modelling Glycaemia in ICU Patients  A Dynamic Bayesian Network Approach BIOSIGNALS 2010: PROCEEDINGS OF THE THIRD INTERNATIONAL CONFERENCE ON BIOINSPIRED SYSTEMS AND SIGNAL PROCESSING , pp.452459 [Details] 

(2005)  20th International Workshop on Statistical Modelling
Newell, J.; Einbeck, J.; Madden, N.; McMillan, K. (2005) Model free endurance markers based on the second derivative of blood lactate curves . In: A.R. Francis, K.M. Matawie, A. Oshlack, and G.K. Smyth eds. 20th International Workshop on Statistical Modelling Sydney, Australia, , 10JUL05  15JUL05 , pp.357364 [Details] 

(1997)  Coastal Dynamics '97
Madden N.; Stynes M.; Thomas, G.P. (1997) On the development of complete flow models for wavecurrent interactions . In: Edward B. Thornton eds. Coastal Dynamics '97 Plymouth, , pp.405415 [Details] 
Edited Books
Year  Publication  

(2003)  The Second Irish Conference on the Mathematical Foundations of Computer Science and Information Technology (MFCSIT 2002).
Sharon Flynn, Ted Hurley, Micheal Mac an Airchinnigh, Niall Madden, Michael McGettrick, Michel Schellekens and Anthony Seda (Ed.). (2003) The Second Irish Conference on the Mathematical Foundations of Computer Science and Information Technology (MFCSIT 2002) The Second Irish Conference on the Mathematical Foundations of Computer Science and Information Technology (MFCSIT 2002). x: Electronic Notes in Theoretical Computer Science (Elsevier). [DOI] [Details] 
Conference Contributions
Year  Publication  

(2017)  27th Biennial Numerical Analysis Conference,
Koptena, N., Linss, T., Madden, N. (2017) Minisymposium organiser: Advances in the robust solution of singularly perturbed differential equations. [Cochaired Session], 27th Biennial Numerical Analysis Conference, Glasgow , 27JUN17  30JUN17. [Details] 

(2017)  The SIAM UKIE National Student Chapter Conference,
The NUI Galway SIAM Chapter (2017) Annual meeting of UK and Ireland Student Chapters of the Society for Industrial and Applied Mathematics. [Conference Organising Committee Member], The SIAM UKIE National Student Chapter Conference, Galway , 26MAY17. [Details] 

(2017)  14th Annual Workshop on Numerical Methods for Problems with Layer Phenomena,
Niall Madden (2017) Main Organiser. [Conference Organising Committee Chairperson], 14th Annual Workshop on Numerical Methods for Problems with Layer Phenomena, NUI Galway , 06APR17  07APR17. [Details] 

(2016)  2016 AARMSCRM Workshop on Numerical Analysis of Singularly Perturbed Differential Equations,
Niall Madden (2016) Plenary lecture: Sparse grid methods for reactiondiffusion problems in two and three dimensions. [Invited Oral Presentation], 2016 AARMSCRM Workshop on Numerical Analysis of Singularly Perturbed Differential Equations, Halifax Canada , 27JUL16  29JUL16. [Details] 

(2016)  2016 AARMSCRM Workshop on Numerical Analysis of Singularly Perturbed Differential Equations,
Niall Madden (2016) Short Course: Numerical Methods for Singularly Perturbed Problems. [Invited Oral Presentation], 2016 AARMSCRM Workshop on Numerical Analysis of Singularly Perturbed Differential Equations, Halifax, NS , 25JUL16  29JUL16. [Details] 

(2016)  The 14th European Finite Element Fair,
Niall Madden (2016) A balanced firstorder system PetrovGalerkin method for a singularly perturbed PDE. [Oral Presentation], The 14th European Finite Element Fair, Universiatät Bonn , 20MAY16  21MAY16. [Details] 

(2015)  26th Biennial Numerical Analysis Conference,
Niall Madden (2015) A balancednorm finite element method for singularly perturbed problems. [Oral Presentation], 26th Biennial Numerical Analysis Conference, University of Strathclyde , 23JUN15  26JUN15. [Details] 

(2015)  26th Biennial Numerical Analysis Conference,
Madden, N; Stynes M. (2015) Minisymposium organiser: Singularly perturbed differential equations. [Cochaired Session], 26th Biennial Numerical Analysis Conference, Glasgow , 23JUN15  26JUN15. [Details] 

(2015)  12th Annual Workshop on Numerical Methods for Problems with Layer Phenomena,
Niall Madden (2015) A balanced firstorder system PetrovGalerkin discretization for a reactiondiffusion problem on a fitted mesh. [Oral Presentation], 12th Annual Workshop on Numerical Methods for Problems with Layer Phenomena, TU Dresden , 09APR15  10APR15. [Details] 

(2014)  Joint Symposium Irish Mechanics Society and the Irish Society for Scientific Engineering & Computation (ISSEC),
Niall Madden (2014) Sparse grid finite element methods for boundary layers problems. [Oral Presentation], Joint Symposium Irish Mechanics Society and the Irish Society for Scientific Engineering & Computation (ISSEC), NUI Galway , 08DEC14  09DEC14. [Details] 

(2014)  2nd Irish Linear Algebra and Matrix Theory Meeting,
Niall Madden (2014) Linear solvers for a singularly perturbed problem. [Invited Oral Presentation], 2nd Irish Linear Algebra and Matrix Theory Meeting, University College Dublin , 29AUG14  29AUG14. [Details] 

(2014)  11th Annual Workshop on Numerical Methods for Problems with Layer Phenomena,
Niall Madden (2014) A firstorder system PetrovGalerkin discretization for solving a reactiondiffusion problem. [Oral Presentation], 11th Annual Workshop on Numerical Methods for Problems with Layer Phenomena, Novi Sad, Serbia , 20MAR14  21MAR14. [Details] 

(2014)  Irish Mathematical Student Association Annual Meeting,
Niall Madden (2014) An introduction to the numerical solution of singularly perturbed differential equations. [Invited Lecture], Irish Mathematical Student Association Annual Meeting, NUI Maynooth , 07MAR14  09MAR14. [Details] 

(2014)  Singularly perturbed differential equations are difficult to solve numerically, except when they are not,
Niall Madden (2014) The annual meeting of SIAM UKIE, the UK & Republic of Ireland section of SIAM. [Invited Oral Presentation], Singularly perturbed differential equations are difficult to solve numerically, except when they are not, University College London , 09JAN14  09JAN14. [Details] 

(2013)  25th Biennial Numerical Analysis Conference,
Niall Madden (2013) A boundary layer preconditioner for a singularly perturbed problem. [Oral Presentation], 25th Biennial Numerical Analysis Conference, Strathclyde, UK , 25JUN13  26JUL13. [Details] 

(2013)  10th Annual Workshop on Numerical Methods for Problems with Layer Phenomena,
Niall Madden (2013) Robust solution of singularly perturbed problems using multigrid methods. [Oral Presentation], 10th Annual Workshop on Numerical Methods for Problems with Layer Phenomena, Larnaca, Cyprus , 23MAY13  24MAY13. [Details] 

(2012)  1st Irish Linear Algebra and Matrix Theory Meeting,
Niall Madden and Rachel Quinlan (2012) 1st Irish Linear Algebra and Matrix Theory Meeting. [Conference Organising Committee Member], 1st Irish Linear Algebra and Matrix Theory Meeting, NUI Galway , 08DEC12  08DEC12. [Details] 

(2012)  6th de Brún Workshop on Linear Algebra and Matrix Theory,
Niall Madden and Rachel Quinlan (2012) 6th de Brún Workshop on Linear Algebra and Matrix Theory. [Conference Organising Committee Member], 6th de Brún Workshop on Linear Algebra and Matrix Theory, NUI Galway , 03DEC12  07DEC12. [Details] 

(2012)  School of Mathematics, Statistics and Applied Mathematics Research Day,
Madden, N; Stynes M. (2012) Postprocessing of onedimensional finite element solutions to convectiondiffusion problems. [Invited Oral Presentation], School of Mathematics, Statistics and Applied Mathematics Research Day, NUI Galway , 02APR12  02APR12. [Details] 

(2012)  BAIL: International Conference on Boundary and Interior Layers Computational and Asymptotic Methods,
Niall Madden (2012) A Schwarztype method for a coupled system of singularly perturbed problems. [Oral Presentation], BAIL: International Conference on Boundary and Interior Layers Computational and Asymptotic Methods, POSTECH, Korea , 06FEB12  10FEB12. [Details] 

(2011)  Numerical Analysis for Singularly Perturbed Problems,
Niall Madden (2011) Linear Solvers for Singularly Perturbed Problems. [Oral Presentation], Numerical Analysis for Singularly Perturbed Problems, TU Dresden , 16NOV11  18NOV11. [Details] 

(2011)  ICIAM: 7th International Congress on Industrial and Applied Mathematics,
Niall Madden and Naresh Chadha (2011) Improved Numerical Modelling of Dispersion of Pollutants in Tidal Regions. [Oral Presentation], ICIAM: 7th International Congress on Industrial and Applied Mathematics, Vancouver , 18JUL11  22JUL11. [Details] 

(2011)  Numerical Methods for Incompressible Fluid Flow,
Niall Madden and Naresh Chadha (2011) Numerical Simulation of an Advection Diffusion Problem in Tidal Regions. [Invited Oral Presentation], Numerical Methods for Incompressible Fluid Flow, University of British Columbia , 14JUL11  16JUL11. [Details] 

(2010)  Numerical Solutions of Partial Differential Equations: Novel Discretization Techniques,
Niall Madden (2010) Computational aspects of a twoscale finite element method for singularly perturbed problem. [Poster Presentation], Numerical Solutions of Partial Differential Equations: Novel Discretization Techniques, University of Minnesota , 01NOV10  05NOV10. [Details] 

(2010)  Computing with Uncertainty: Mathematical Modeling, Numerical Approximation and Large Scale Optimization of Complex Systems,
Niall Madden (2010) Derivation of DBN Structure from Expert Knowledge in the Form of Systems of ODEs. [Poster Presentation], Computing with Uncertainty: Mathematical Modeling, Numerical Approximation and Large Scale Optimization of Complex Systems, University of Minnesota , 18OCT10  22OCT10. [Details] 

(2010)  BAIL  Boundary and Interior Layers,
Mondol, K.K; Madden N. (2010) A computational study of a fluid flow problem featuring an interior layer. [Oral Presentation], BAIL  Boundary and Interior Layers, Zaragoza, Spain , 05JUL10  09JUL10. [Details] 
Conference Paper
Year  Publication  

(2006)  A parameterrobust numerical method for a coupled system of two dimensional reactiondiffusion equations. 4th Conference on Finite Difference Methods: Theory and Applications.
Madden, N., Bruce, R., Kellogg, B., Stynes, M. (2006) A parameterrobust numerical method for a coupled system of two dimensional reactiondiffusion equations. 4th Conference on Finite Difference Methods: Theory and Applications. Lozenetz, Bulgaria: Conference Paper [Details] 

(2005)  Model free endurance markers based on the second derivative of blood lactate curves. 20TH IWSM, STATISTICAL SOLUTIONS TO MODERN PROBLEMS.
Newell, J., Einbeck, J., Madden, N., McMillan, K. (2005) Model free endurance markers based on the second derivative of blood lactate curves. 20TH IWSM, STATISTICAL SOLUTIONS TO MODERN PROBLEMS. SwissGrand Resort & Spa on Bondi Beach in Sydney: Conference Paper [Details] 

(2004)  On the application of robust numerical methods to a complete flow wavecurrent model. Boundary and Interior Layers ONERA.
Niall Madden, Martin Stynes, and Gareth Thomas (2004) On the application of robust numerical methods to a complete flow wavecurrent model. Boundary and Interior Layers ONERA. Conference Paper [ARAN Link] [Details] 

(2004)  On equidistribution for reactiondiffusion problems. Workshop on problems with boundarylayer phenomena.
Kopteva, N., Madden, N., Stynes, M. (2004) On equidistribution for reactiondiffusion problems. Workshop on problems with boundarylayer phenomena. University of Limerick: Conference Paper [Details] 
Presentation
Year  Publication  

(2009)  An alternating direction method for a singularly perturbed reactiondiffusion problem. 23rd Biennial Conference on Numerical Analysis.
Madden, N., Linss, T. (2009) An alternating direction method for a singularly perturbed reactiondiffusion problem. 23rd Biennial Conference on Numerical Analysis. University of Strathclyde: Presentation [Details] 
Unpublished work
Year  Publication  

(2012)  Robust solution of singularly perturbed problems using multigrid methods: analysis and results in one and two dimensions.
MacLachlan, Scott; Madden, Niall (2012) Robust solution of singularly perturbed problems using multigrid methods: analysis and results in one and two dimensions. Unpublished work [ARAN Link] [Details] 
Working Paper
Year  Publication  

(2007)  On the numerical solution of a system of M singularly perturbed reactiondiffusion equations in two dimension. 6th Annual Workshop on Numerical Methods for Problems with Layer Phenomena.
Madden, N., Stynes, M. (2007) On the numerical solution of a system of M singularly perturbed reactiondiffusion equations in two dimension. 6th Annual Workshop on Numerical Methods for Problems with Layer Phenomena. University of Limerick: Working Paper [Details] 
Professional Associations
Association  Function  From / To  

IMS: Irish Mathematical Society  01SEP00 /  
International Linear Algebra Society  http://www.ilasic.org/  01SEP14 /  
SIAM: Society for Industrial and Applied Mathematics  01APR00 /  
Association for Women in Mathematics (AWM)  https://sites.google.com/site/awmmath/home  / 
Committees
Committee  Function  From / To  

College of Science Equality, Diversity and Inclusion  Vice Dean  01JUL18 /  
Equality and Diversity Workging Group, School of Mathematics, Statistics and Applied Mathematics  Chair  01MAR17 / 01JAN18  
Learning, Teaching and Assessment, School of Mathematics, Statistics and Applied Mathematics  Chair  01SEP16 / 31AUG18  
NUI Galway SIAM Student Chapter  Faculty Advisor  01SEP14 /  
Athena SWAN Institutional SelfAssessment Team  member  01OCT14 /  
Board of the Modular Programme in Science and Technology Studies  NUI Galway Academic Director  01NOV13 / 01SEP17  
Stokes Cluster for Applied Mathematics Research  Chair  01SEP14 / 31AUG17  
Programme Board, B.Sc in Science  Computer Science Pathway  Codirector  01SEP12 /  
NUI Galway Gender Equality Task Force  member  01MAY15 / 31MAY16 
Education
Year  Institution  Qualification  Subject  

2000  National University of Ireland, Cork  PhD  Mathematics  
1996  University College Cork  Msc  Mathematics  
1994  University College Galway  BSc  Computing Studies and Mathematical Science 
Reviews
Journal  Role  

Numerical Algorithms  Editoral Board  
International Journal Of Computer Mathematics  Reviewer  
Computational & Applied Mathematics  Reviewer  
Lecture Notes In Computational Science And Engineering  Reviewer  
Computational Methods In Applied Mathematics  Reviewer  
Applied Numerical Mathematics  Reviewer  
International Journal Of Computer Mathematics  Reviewer  
Journal Of Difference Equations And Applications  Reviewer  
Journal Of Applied Mathematics And Computing  Reviewer  
Journal Of Scientific Computing  Reviewer  
Applied Mathematics And Computation  Reviewer  
Advances In Computational Mathematics  Reviewer  
International Journal Of Numerical Analysis And Modeling  Reviewer  
Numerical Algorithms  Reviewer  
Numerical Methods For Partial Differential Equations  Reviewer  
Ima Journal Of Numerical Analysis  Reviewer  
Lecture Notes In Computer Science  Reviewer  
Bit Numerical Mathematics  Reviewer  
Journal Of Applied Mathematics And Computing  Reviewer 
Other Activities
Description  

Faculty adviser for the NUI Galway Student Chapter of SIAM 
Teaching Interests
Recent Postgraduate Students
Graduation  Name  Degree  Primary Supervisor  

2015  Nhan Anh Thai  PhD  Y  
2016  Stephen Russell  PhD  Y  
2013  Stephen Russell  MASTERS OF SCIENCE  Y  
2011  Nhan Anh Thai  MASTERS OF SCIENCE  Y  
2009  Meghan Stephens (Mathematics)  PhD  Y 
Modules Taught
Term/Year  Module Title  Module Code  Subject / Desc  

2016/2017  Numerical Analysis 1  MA385  Analysis of numerical methods for nonlinear problems, IVPs, and linear systems  
2016/2017  Scientific Computing  CS319  Sicentific software development in C++  
2016/2017  Numerical Analysis 2  MA378  Polynomial interpolation; splines; quadrature; finite element methods.  
2016/2017  Discrete Mathematics  MA284  Enumerative combinatorics and graph theory 