[Student conference] An introduction to the numerical solution
of singularly
perturbed differential equations. Irish Mathematical Student
Association Annual Meeting, NUI Maynooth, 7-9 March,
2014. (Invited speaker)
[Conference] Singularly perturbed differential equations are
difficult to solve numerically, except when they are not.
The annual
meeting of
SIAM UKIE, the UK & Republic of Ireland section
of SIAM, University College London,
9th January 2014. (Invited speaker).
[Conference] A Schwarz-type method for a coupled system of singularly
perturbed problems,
BAIL:
International Conference on Boundary and Interior Layers--
Computational and Asymptotic Methods
POSTECH, Korea, February 6th--10th, 2012
[Seminar] Cholesky, Taussky, Todd, Toeplitz and Turing: A story of love,
death, wars, and matrix factorisations NUI Galway
Mathematics Society, 25 Nov
2011. slides.
[Seminar] Fast solvers for singularly perturbed problems,
Mathematics Seminar, NUI Galway, 20 Oct 2011.
[Conference] Improved Numerical Modelling of Dispersion of Pollutants in
Tidal
Regions, ICIAM,
(7th International Congress on Industrial and Applied
Mathematics), Vancouver, 18--22 July 2011.
[Conference] Numerical Simulation of an Advection Diffusion Problem in
Tidal
Regions, Numerical
Methods for Incompressible Fluid Flow, Applied Mathematics
Perspectives, University of British Columbia, Vancouver, 14--16
July, 2011.
[Seminar] Schwarz methods for coupled systems of singularly perturbed
problems, Mathematisches Kolloquium,
Universitat Duisburg-Essen
24 May 2011,
[Seminar] Layer resolving methods for singularly perturbed problems
Chinese Academy of Sciences Beijing, 22 March 2011.
[Seminar] Numerical Solution of
Singularly Perturbed Coupled Problems,
Department of Mathematics Seminar, University of Auckland, 24 Feb 2011.
[Seminar] The numerical simulation of some ODEs arising in glycemia
models, Auckland Numerical Analysis Workshop, 17 Feb 2011.
[Seminar] Robust numerical methods for singularly perturbed
problems, IMA Postdoc Seminar, University of Minnesota, 9th Nov 2010
[Conference] A computational study of a fluid flow problem featuring an
interior layer,
Boundary and Interior Layers, Zaragoza,
July 2010.
[Conference] An alternating direction method for a singularly
perturbed reaction-diffusion problem, 23rd Biennial Conference on Numerical Analysis,
University of Strathclyde, 23-26 June 2009.
[Conference] The numerical solution of a system of singularly perturbed
reaction-diffusion equations by a domain decomposition technique,
British Mathematics Colloquium, NUI Galway, 06-09 April 2009
[Conference] A parameter-robust numerical method for a coupled system of two
dimensional reaction-diffusion equations.4th Conference on
Finite Difference Methods, Lozenetz, Bulgaria, 26-29
August 2006.
On a parameter-uniform Schwartz scheme for a system of
singularly-perturbed differential equations.21st Biennial
Conference on Numerical Analysis, University of Dundee, Scotland, UK
Tuesday 28th June - Friday 1st July, 2005
[Conference] On the application of robust numerical methods to
a complete flow wave-current model,
with Martin Stynes and Garth
Thomas, Boundary
and Interior Layers, Toulouse, 05-09 July 2004.
[Seminar] Singularly Perturbed differential equations: applications and
numerical solution, University of Limerick, 19 Oct 2004.
[Seminar] Mesh equidistribution for reaction-diffusion problems,
Numerical Mathematics Seminar, TU Dresden, 11 May 2004.
[Workshop]On equidistribution for reaction-diffusion problems.
Workshop on problems with boundary-layer phenomena, 12-13 Feb 2004.
[Seminar] Coupled systems of differential equations: Analysis,
Numerical methods and Applications.
Applied Mathematics Seminar, UCC, Feb 26, 2004.
[Conference] Uniform convergence of a finite difference scheme for a system
of coupled reaction-diffusion equations, 20th Biennial Conference on Numerical Analysis
University of Dundee, 24--27 June, 2003.
[Seminar] Robust numerical solution of systems of coupled singularly
perturbed reaction-diffusion equations, Seminar University of
Limerick, Nov 2002.
[Seminar] Accurate solution of systems of singularly perturbed reaction-diffusion
equations, Seminar TU Dresden. April 2002.
[Workshop] A fitted mesh for a system of two linear
singularly perturbed problems,
INCA Workshop on Numerical Methods for Singularly Perturbed Differential
Equations, University of Limerick. Jan 2002.
[Seminar] Numerical methods for systems of differential equations, seminar, Dep of Mathematics, NUI Galway. Nov 2000.