Research Presentations since September 2000
Conferences, Workshops and Seminars
2019
2018
2017
- [Workshop]
Short Term Course On
Theory and Computation of Singularly Perturbed Differential
Equations,
organised by Department of Mathematics, IIT (BHU), Varanasi
Supported by MHRD
under GIAN
(Global Initiative for Academic Networks).
I delivered the short course, along with Dr Sunil Kumar
and Prof. L.P. Singh.
- [Workshop]
The 3rd
Irish Linear Algebra and Matrix Theory Meeting, Maynooth
University Department of Mathematics & Statistics, 8th
September (contributed talk).
- [Conference]
27th Biennial Numerical Analysis Conference Strathclyde, 27-30
June 2017. With Natalia Kopteva and Torsten Linß, I am
organising a mini-symposium on
Advances in the robust solution of singularly perturbed
differential equations.
- [Workshop]
14th
Annual
Workshop on Numerical Methods for Problems with Layer
Phenomena at NUI Galway, 6-7 April, 2017
(main organiser).
2016
2015
- [Seminar]
Applied and Computational Mathematics Seminars, University College
Dublin, 9 December, 2015.
- [Conference]
26th Biennial Numerical Analysis Conference Strathclyde, 23-26
June 2015. With Martin Stynes, I organised a mini-symposium on
Singularly perturbed differential equations.
- [Workshop]
12th Annual Workshop on Numerical Methods
for Problems with Layer Phenomena (dedicated to the 65th birthday
of Hans-Görg Roos). Thursday, 9th - Friday, 10th April 2015. TU Dresden.
- [Seminar]
MACSI Seminar Series, Department of Mathematics and
Statistics, University of Limerick, 27 March 2015.
2014
- [Conference]
Sparse grid finite element methods for boundary layers problems
Joint Symposium
Irish Mechanics Society and the
Irish Society for Scientific Engineering
& Computation (ISSEC).
8-9 of December, 2014, NUI Galway.
- [Workshop] Linear solvers for a singularly perturbed problem.
2nd Irish
Linear Algebra and Matrix Theory Meeting, 29 August 2014,
School of Mathematical Sciences. (Invited speaker).
- [Seminar] Sparse grid finite element methods for a two-dimensional
reaction-diffusion problem, T.U. Dresden. 29 April, 2014.
- [Workshop] A first-order system Petrov-Galerkin discretization
for solving a reaction-diffusion
problem. 11th
Annual Workshop on Numerical Methods for Problems with Layer
Phenomena, Novi Sad, 20-21 March, 2014.
- [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).
2000-2013
- [Conference] A boundary layer preconditioner for a singularly perturbed problem.
25th Biennial Numerical Analysis Conference
Strathclyde, Jun 25th-28th 2013.
- [Workshop] Robust solution of singularly perturbed problems using multigrid
methods.
10th
Annual Workshop on Numerical Methods for Problems with Layer
Phenomena, Cyprus, May 23rd-24th 2013.
- [Seminar] Post-processing of one-dimensional finite element
solutions to convection-diffusion problems, NUI Galway
Research Day, April 2012.
- [Seminar] Optimal time-stepping for tidal simulations,
The Ryan Institute Talks n' Treats seminar series, 27 April 2012
- [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.
- [Conference] Linear Solvers for Singularly Perturbed Problems,
Numerical Analysis for Singularly Perturbed Problems
(dedicated to the 60th birthday of Martin Stynes). TU Dresden,
16--18Nov, 2011.
- [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
- [Workshop] Computational aspects of a two-scale finite element method for
singularly perturbed
problem,
Numerical Solutions of Partial Differential Equations: Novel
Discretization Techniques, Institute for Mathematics and Its
Applications, University of Minnesota, 1-5 November, 2010. (Poster
presentation)
- [Workshop] Derivation of DBN Structure from Expert Knowledge in the Form
of Systems of
ODEs, Computing
with Uncertainty: Mathematical Modeling, Numerical Approximation
and Large Scale Optimization of Complex Systems with
Uncertainty Institute for Mathematics and Its Applications,
University of Minnesota, 18-22 October, 2010. (Poster
presentation)
- [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
- [Workshop] Computational aspects of a two-scale finite element method for
reaction-diffusion
equations, 7th
Annual Workshop on Numerical Methods for Problems with
Layer Phenomena, University of Limerick, 22-23
Jan, 2009.
- [Conference] Overlapping Schwarz techniques for coupled systems
of reaction-diffusion equations, BAIL 2008, UL, 28 July-01 Aug 2008
- [Seminar] The numerical analysis of systems of singularly perturbed
differential equations, Seminar, NUI Galway, 01 Nov
2007
- [Seminar] The numerical analysis of systems of singularly perturbed
differential equations, Seminar, Dublin City
University, 08 March 2007.
- [Workshop] On the numerical solution of a system of M singularly
perturbed reaction-diffusion equations in two dimension,
6th Annual Workshop
on Numerical Methods for Problems with Layer Phenomena, University of Limerick. 08-09 Feb 2007.
- [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.
- [Workshop] On an overlapping Schwarz method for a system of singularly-perturbed reaction-diffusion equations,
5th Annual Workshop on Numerical Methods for Problems with Layer
Phenomena, University of Limerick, 9-10 Feb 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] What Mathematics should a mathematician know?,
The Second
Irish Symposium for Undergraduate Mathematics Education, UCD, 10-11 December, 2004.
- [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.