Researcher Details |

Eugene O'Riordan

Prof

My main research interests are in numerical analysis and singularly perturbed differential equations.
I am also interested in fractional differential equations and the associated numerical analysis.

Conference Publication

	Year	Publication
	2016	O’Riordan E. (2016) Springer Proceedings in Mathematics and Statistics *Interior layers in singularly perturbed problems*
	2015	O’Riordan E.;Quinn J. (2015) Lecture Notes in Computational Science and Engineering *Numerical experiments with a linear convection–diffusion problem containing a time-varying interior layer*
	2013	Gracia J.;O'Riordan E. (2013) Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) *A singularly perturbed reaction-diffusion problem with incompatible boundary-initial data*
	2013	O'Riordan E.;Quinn J. (2013) Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) *Numerical experiments with a Shishkin numerical method for a singularly perturbed quasilinear parabolic problem with an interior layer*
	2013	O'Riordan E.;Quinn J. (2013) Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) *Multiscale convection in one dimensional singularly perturbed convection-diffusion problems*
	2011	O'Riordan E.;Quinn J. (2011) Lecture Notes in Computational Science and Engineering *Numerical method for a nonlinear singularly perturbed interior layer problem*
	2011	Gracia J.;O'Riordan E. (2011) Lecture Notes in Computational Science and Engineering *A singularly perturbed convection diffusion parabolic problem with an interior layer*
	2009	O'Riordan E.;Stynes J.;Stynes M. (2009) Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) *An iterative numerical algorithm for a strongly coupled system of singularly perturbed convection-diffusion problems*
	2009	Farrell P.;O'Riordan E. (2009) Lecture Notes in Computational Science and Engineering *Examination of the performance of robust numerical methods for singularly perturbed quasilinear problems with interior layers*
	2009	Falco C.;O'Riordan E. (2009) Lecture Notes in Computational Science and Engineering *Singularly perturbed reaction-diffusion problem with a boundary turning point*
	2009	Falco C.;O'Riordan E. (2009) Lecture Notes in Computational Science and Engineering *A patched mesh method for singularly perturbed eeaction-diffusion equations*

Conference Contribution

	Year	Publication
	2005	R. K. Dunne, E. O' Riordan and G. I. Shishkin, , (2005) 10th international conference Trakai Mathematical Modelling and Analysis Numerical Methods for Singularly Perturbed Elliptic Problems with Mixed Derivatives Lithuania, 01/06/2005-01/06/2005.
	2005	C. Clavero, J.L. Gracia and E. O'Riordan, (2005) Ninth International Conference Zaragoza-Pau on Applied Mathematics and Statistics The defect-correction technique applied to singularly perturbed elliptic problems of convection-diffusion type Jaca, (Spain), 19/09/2005-21/09/2005.
	2002	R.K. Dunne, E. O'Riordan, G.I. Shishkin (2002) BAIL2002 Boundary Layers in Singularly Perturbed Problems on Non-Rectangular Domains Perth, Western Australia, 08/07/2002-12/07/2002.
	2000	R. K. Dunne, E. O' Riordan and G. I. Shishkin, vol. (2000) 2nd International Conference NAA'2000 Singularly perturbed parabolic problems on non-rectangular domains Rousse, Bulgaria, 11/06/2000-15/06/2000.
	2000	H. Mac Mullen, E. O' Riordan and G.I. Shishkin, (2000) 2nd International Conference NAA'2000 Schwarz Methods for Convection-Diffusion Problems Rousse, Bulgaria, 11/06/2000-15/06/2000.
	2000	P.A. Farrell, A.F. Hegarty, J.J.H. Miller , E. O' Riordan and G. I. Shishkin, (2000) 2nd International Conference NAA'2000 Parameter-uniform numerical methods for a singularly perturbed problem with a Neumann boundary condition Rousse, Bulgaria, 11/06/2000-15/06/2000.
	2000	G. I. Shishkin, P.A. Farrell, A. F. Hegarty, J.J.H. Miller and E. O' Riordan, (2000) 2nd International Conference NAA'2000 On a necessary requirement for Re-uniform numerical methods to solve boundary layer equations for flow past a flat plate Rousse, Bulgaria, 11/06/2000-15/06/2000.
	2000	G. I. Shishkin, P. A. Farrell, A. F. Hegarty, J. J. H. Miller, E. O’Riordan. (2000) 3rd International Conference FDS2000 On Reynolds-uniform numerical methods, in parabolic boundary layer regions, for Prandtl’s problems Palanga, Lithuania, 01/09/2000-04/09/2000.
	1998	H. Mac Mullen, J.J.H. Miller, E. O'Riordan and G.I. Shishkin, eds., 2000, pp. 213-218. (1998) Analytical and Numerical Methods for Convection-Dominated and Singularly Perturbed Problems Schwarz iterative method for convection-diffusion problems with boundary layers Lozenetz, Bulgaria, 27/08/1998-31/08/1998.
	1998	S. Matthews, J.J.H. Miller , E. O'Riordan and G.I. Shishkin, (1998) Analytical and Numerical Methods for Convection-Dominated and Singularly Perturbed Problems A parameter robust numerical method for a system of singularly perturbed ordinary differential equations Lozenetz, Bulgaria, 27/08/1998-31/08/1998.
	1996	J.J.H. Miller, E. O'Riordan and G.I. Shishkin, (1996) V-th International Conference on Numerical Analysis Fitted mesh methods for the singularly perturbed reaction-diffusion problem Plovdiv, Bulgaria, 13/08/1996-17/08/1996.
	1995	J.J.H. Miller, E. O'Riordan and G.I. Shishkin (1995) 2nd Asian Conference on Mathematics Fitted Numerical Methods for Four Simple Convection-Diffusion Problems Thailand, 17/10/1995-20/10/1995.
	1994	P.A.Farrell, A.F.Hegarty, J.J.H. Miller, E. O'Riordan and G.I. Shishkin (1994) 10th GAMM-Seminar On the design of piecewise uniform meshes for solving advection-dominated transport equations to a prescribed accuracy in proc Kiel, Germany, 01/01/1994-01/01/1994.
	1993	A.F.Hegarty, J.J.H. Miller, E. O'Riordan and G.I. Shishkin (1993) 9th GAMM-Seminar On numerical experiments with central difference operators on special piecewise uniform meshes for problems with boundary layers Kiel, Germany, 01/01/1993-01/01/1993.
	1980	A.F.Hegarty, J.J.H.Miller, E.O'Riordan (1980) First International Conference on Boundary and Interior Layers- Computational and Asymptotic methods Uniform second order difference schemes for singular perturbation problems Dublin, 03/06/1980-06/06/1980.
	2011	E.O'Riordan and J.l. Gracia (2011) European Conference on Numerical Mathematics and Advanced Applications Numerical methods for singularly perturbed reaction-diffusion problems with interior layers Leicester, UK, 05/09/2011-09/09/2011.
	2010	E.O'Riordan and J.L. Gracia (2010) BAIL 2010 - Boundary and Interior Layers, Computational and Asymptotic Mathods A singularly perturbed convection diffusion parabolic problem with an interior layer Zaragoza, Spain, 05/07/2010-09/07/2010.
	2010	J.L. Gracia and E.O'Riordan (2010) 8th Annual Workshop on Numerical Methods for Problems with Layer Phenomena Interior layers in singularly perturbed time dependent problems University of Limerick, Ireland, 21/01/2010-22/01/2010.
	2008	M. Culpo, C. de Falco and E. O' Riordan (2008) Progress in Industrial Mathematics at ECMI 2008 Patches of Finite Elements for Singularly-Perturbed Diffusion Reaction Equations with Discontinuous Coefficients London, UK, 30/06/2008-04/07/2008.
	2007	P.A. Farrell and E. O'Riordan (2007) 6th Annual Workshop on Numerical Methods for Problems with Layer Phenomena A class of singularly perturbed quasilinear differential equations with interior layers University of Limerick, Ireland, 08/02/2007-09/02/2007.
	2006	E.O'Riordan (2006) 5th Annual Workshop on Numerical Methods for Problems with Layer Phenomena Solution decomposition in the case of an elliptic problem of convection-diffusion type University of Limerick, Ireland, 09/02/2006-10/02/2006.
	2011	E. O'Riordan (2011) Numerical Analysis for Singularly Perturbed Problems A return visit to Petrov-Galerkin methods and discretized Green's functions for singularly perturbed problems Dresden, Germany, 16/11/2011-19/11/2011.
	2009	E.O'Riodan and M. Pickett (2009) 7th Annual Workshop on Numerical Methods for Problems with Layer Phenomena Two parameter singularly perturbed elliptic problems University of Limerick, Ireland, 22/01/2009-23/01/2009.
	2008	E. O' Riordan, J. Stynes and M. Stynes (2008) Numerical Analysis and Applications An iterative numerical algorithm for a strongly coupled system of singularly perturbed convection-diffusion problems Lozenetz, Bulgaria, 16/06/2008-20/06/2008.
	2006	Dunne,R. K., O' Riordan, E. and Turner, M. M. (2006) Boundary and Interior Layers A singular perturbation problem arising in the modelling of plasma sheaths Gottingen, Germany, 24/07/2006-28/07/2006.
	2006	Dunne R. K. and O' Riordan E. (2006) Fourth International Conference on Finite Difference Methods: Theory and Applications Interior layers arising in linear singularly perturbed differential equations with discontinuous coefficients Lozenetz, Bulgaria, 26/08/2006-29/08/2006.
	2005	J.L. Gracia and E.O'Riordan (2005) 4th Annual Workshop on Numerical Methods for Problems with Layer Phenomena A defect-correction method for a convection-diffusion problem in one dimension University of Limerick, Ireland, 10/02/2005-11/02/2005.
	2004	P. A. Farrell, E. O' Riordan and G. I. Shishkin, (2004) BAIL 2004 - Boundary and Interior Layers-computational and asymptotic methods Robust numerical methods for singularly perturbed semilinear differential equations with interior layers Toulouse, France, 05/07/2004-09/07/2004.
	1998	P.A. Farrell, J. J. H. Miller, E. O' Riordan and G. I. Shishkin, (1998) Analytical and Numerical Methods for Convection-Dominated and Singularly Perturbed Problems Singularly perturbed differential equations with discontinuous source terms Lozenetz, Bulgaria, 27/08/1998-31/08/1998.
	1995	J.J.H. Miller, E. O'Riordan and G.I. Shishkin, (1995) International Conference AMCA-95 On the use of fitted operator methods for singularly perturbed partial differential equations, in Advanced Mathematics: Computations and Applications Novosibirsk, Russia, 20/06/1995-24/06/1995.
	1991	E.O'Riordan, A.F.Hegarty, M.Stynes, (1991) Numerical methods in singularly perturbed problems Construction and analysis of some exponentially upwinded finite element methods for singularly perturbed two-dimensional elliptic problems Technische Universitat Dresden, 18/03/1991-22/03/1991.
	1991	A.F.Hegarty, J.J.H. Miller, E. O'Riordan and G.I. Shishkin. (1991) IMACS, 13th world congress on computation and applied mathematics Special meshes for two dimensional elliptic singular perturbation problems Dublin, 22/07/1991-26/07/1991.
	1989	M.Stynes and E.O'Riordan, (1989) Discretization methods in singular perturbations and flow problems Analysis of singularly perturbed two-point boundary value problems with turning points Otto von Guericke, Magdeburg, 03/04/1989-07/04/1989.
	1989	E.O'Riordan and M.Stynes, (1989) Discretization methods in singular perturbations and flow problems A uniformly convergent difference scheme for an elliptic singular perturbation problem Otto von Guericke,Magdeburg, 03/04/1989-07/04/1989.

Book

	Year	Publication
	2012	J.J.H. Miller, Eugene O'Riordan and G.I. Shishkin (2012) Fitted Numerical Methods for Singular perturbation problems (Revised Edition). : World Scientific.
	2000	P. A. Farrell, A. F. Hegarty, J. J. H. Miller , E. O' Riordan and G. I. Shishkin (2000) Robust computational techniques for boundary layers. : Chapman and Hall/ CRC press.
	1996	J. J. H. Miller , E. O' Riordan and G. I. Shishkin. (1996) Fitted numerical methods for singular perturbation problems-error estimates in the maximum norm for linear problems in one and two dimensions. : World-Scientific.

Book Chapter

	Year	Publication
	1993	A.F.Hegarty, J.J.H. Miller, E. O'Riordan and G.I. Shishkin (1993) 'Key to the computation of the transfer of a substance by convection-diffusion in a laminar fluid' In: Applications of Advanced Computational Methods for Boundary and Interior Layer, Boole Press. : 0.
	1993	J.J.H. Miller, E. O'Riordan, E.A. Petrenko and G.I. Shishkin (1993) 'Special finite difference methods for calculating heat fields in solid bodies with rapidly changing surface temperature' In: Applications of Advanced Computational Methods for Boundary and Interior Layers, Boole Press. : 0.
	1991	E.O'Riordan and M.Stynes (1991) 'An analysis of some exponentially fitted finite element methods for singularly perturbed elliptic problems' In: Computational Methods for Boundary and Interior Layers in Several Dimensions. : 0.

Peer Reviewed Journal

	Year	Publication
	2019	O'Riordan, E;Pickett, ML (2019) 'Numerical approximations to the scaled first derivatives of the solution to a two parameter singularly perturbed problem'. Journal of Computational and Applied Mathematics, 347 :128-149.
	2018	Gracia, JL;O'Riordan, E;Stynes, M (2018) 'Convergence in Positive Time for a Finite Difference Method Applied to a Fractional Convection-Diffusion Problem'. Computational Methods in Applied Mathematics, 18 :33-42.
	2018	Gracia, JL;O'Riordan, E;Stynes, M (2018) 'A Fitted Scheme for a Caputo Initial-Boundary Value Problem'. Journal of Scientific Computing, 76 :583-609.
	2017	Gracia, JL;O'Riordan, E (2017) 'A singularly perturbed convection-diffusion problem with a moving pulse'. Journal of Computational and Applied Mathematics, 321 :371-388.
	2017	Hegarty, AF;O'Riordan, E (2017) 'Parameter-uniform numerical method for singularly perturbed convection-diffusion problem on a circular domain'. Advances in Computational Mathematics, 43 :885-909.
	2017	Stynes, M;O'Riordan, E;Gracia, JL (2017) 'ERROR ANALYSIS OF A FINITE DIFFERENCE METHOD ON GRADED MESHES FOR A TIME-FRACTIONAL DIFFUSION EQUATION'. SIAM Journal on Numerical Analysis, 55 :1057-1079.
	2016	Stynes M.;O’Riordan E.;Gracia J. (2016) 'Necessary conditions for convergence of difference schemes for fractional-derivative two-point boundary value problems'. BIT Numerical Mathematics, :1-23.
	2015	Gracia, JL;O'Riordan, E (2015) 'Scaled Discrete Derivatives of Singularly Perturbed Elliptic Problems'. Numerical Methods for Partial Differential Equations, 31 :225-252.
	2015	Gracia J.;O'Riordan E. (2015) 'Numerical approximation of solution derivatives in the case of singularly perturbed time dependent reaction-diffusion problems'. Journal of Computational and Applied Mathematics, 273 :13-24.
	2015	O'Riordan E.;Quinn J. (2015) 'A linearised singularly perturbed convection-diffusion problem with an interior layer'. Applied Numerical Mathematics, 98 :1-17.
	2013	Eugene O'Riordan and Jason Quinn (2013) 'Numerical Experiments with a Shishkin Numerical Method for a Singularly Perturbed Quasilinear Parabolic Problem with an Interior Layer'. Lecture Notes in Computer Science, 8236 :420-427.
	2013	Eugene O'Riordan and J-L Gracia (2013) 'A singularly perturbed reaction-diffusion problem with incompatible boundary-initial data'. Lecture Notes in Computer Science, 8236 :303-310.
	2012	O'Riordan E.;Quinn J. (2012) 'A singularly perturbed convection diffusion turning point problem with an interior layer'. Computational Methods in Applied Mathematics, 12 (2):206-220.
	2012	Gracia J.;O'Riordan E. (2012) 'A singularly perturbed parabolic problem with a layer in the initial condition'. Applied Mathematics and Computation, 219 (2):498-510.
	2012	O'Riordan E.;Quinn J. (2012) 'Parameter-uniform numerical methods for some singularly perturbed nonlinear initial value problems'. Numerical Algorithms, 61 (4):579-611.
	2011	O'Riordan E.;Pickett M. (2011) 'A parameter-uniform numerical method for a singularly perturbed two parameter elliptic problem'. Advances in Computational Mathematics, 35 (1):57-82.
	2011	Eugene O'Riordan and Jason Quinn (2011) 'Nonlinear Singularly Perturbed Interior Layer Problem'. Lecture Notes in Computational Science and Engineering, 81 :187-195.
	2011	O'Riordan E.;Quinn J. (2011) 'Parameter-uniform numerical methods for some linear and nonlinear singularly perturbed convection diffusion boundary turning point problems'. BIT Numerical Mathematics, 51 (2):317-337.
	2011	de Falco C.;O'Riordan E. (2011) 'A parameter robust Petrov-Galerkin scheme for advection-diffusion-reaction equations'. Numerical Algorithms, 56 (1):107-127.
	2009	Gracia; J. L. , Lisbona F. J. , Madaune-Tort, M. and O'Riordan, E. (2009) 'A system of singularly perturbed semilinear equations'. Lecture Notes in Computational Science and Engineering, :163-172.
	2009	Gracia J.;Lisbona F.;O'Riordan E. (2009) 'A coupled system of singularly perturbed parabolic reaction-diffusion equations'. Advances in Computational Mathematics, 32 (1):43-61.
	2009	E. O' Riordan and M. Stynes, (2009) 'Numerical analysis of a strongly coupled system of two singularly perturbed convection-diffusion problems'. Advances in Computational Mathematics, 30 :101-121.
	2009	P. A. Farrell, E. O' Riordan and G. I. Shishkin (2009) 'A class of singularly perturbed quasilinear differential equations with interior layers'. Mathematics of Computation, 78 :103-127.
	2009	R. K. Dunne, E. O' Riordan and G. I. Shishkin (2009) 'Fitted mesh numerical methods for singularly perturbed elliptic problems with mixed derivatives'. IMA JOURNAL OF NUMERICAL ANALYSIS (OXFORD UNIVERSITY PR, 29 :712-730.
	2009	de Falco, C. and Eugene O'Riordan (2009) 'Singularly perturbed reaction-diffusion problem with a boundary turning point'. Lecture Notes in Computational Science and Engineering, 69 :129-140.
	2008	Eugene O'Riordan and G. I. Shishkin (2008) 'Parameter uniform numerical methods for singularly perturbed elliptic problems with parabolic boundary layers'. APPLIED NUMERICAL MATHEMATICS (ELSEVIER), 58 :1761-1772.
	2007	R. K. Dunne, E. O' Riordan and M. M. Turner (2007) 'A numerical method for a singular perturbation problem arising in the modelling of plasma sheaths'. International Journal of Computing Science and Mathematics, 1 :322-342.
	2004	A. D. Wood, E. O’Riordan, N. Sweeney and R. B. Paris, (2004) 'Marginal states of the resistive tearing mode with flow in cylindrical geometry'. Journal of Plasma Physics, 70 :155-161.
	2004	P. A. Farrell, A. F. Hegarty, J.J.H. Miller, E. O' Riordan and G. I. Shishkin, (2004) 'Global maximum norm parameter—uniform numerical method for a singularly perturbed convection-diffusion problem with discontinuous convection coefficient '. Mathematical and Computer Modelling, 40 :1375-1392.
	2004	S. Bellew and E. O’ Riordan, (2004) 'A parameter-robust numerical method for a system of two singularly perturbed convection-diffusion equations'. APPLIED NUMERICAL MATHEMATICS (ELSEVIER), 51 :171-186.
	2004	P. A. Farrell, A. F. Hegarty, J. J. H. Miller, E. O' Riordan and G. I. Shishkin, (2004) 'Singularly perturbed convection diffusion problems with boundary and weak interior layers'. Journal of Computational and Applied Mathematics, 166 :133-151.
	2003	R. K. Dunne, E. O' Riordan and G. I. Shishkin, (2003) 'A Fitted Mesh Method for a Class of Singularly Perturbed Parabolic Problems with a Boundary Turning Point'. Computational Methods in Applied Mathematics, 3 :361-372.
	2003	E. O' Riordan, M. L. Pickett and G. I. Shishkin, (2003) 'Singularly perturbed problems modelling reaction-convection-diffusion processes'. Computational Methods in Applied Mathematics, 3 :424-442.
	2002	H. MacMullen, E. O'Riordan and G.I. Shishkin, . (2002) 'The convergence of classical Schwarz methods applied to convection-diffusion problems with regular boundary layers'. APPLIED NUMERICAL MATHEMATICS (ELSEVIER), 43 :297-313.
	2002	S. Matthews, E. O' Riordan and G. I. Shishkin, (2002) 'A numerical method for a system of singularly perturbed reaction-diffusion problems'. Journal of Computational and Applied Mathematics, 145 :151-166.
	2002	P. A. Farrell, A. F. Hegarty, J. J. H. Miller, E. O' Riordan and G. I. Shishkin (2002) 'An experimental technique for computing parameter-uniform error estimates for numerical solutions of singular perturbation problems, with an application to Prandtl's problem at high Reynolds number'. APPLIED NUMERICAL MATHEMATICS (ELSEVIER), 40/1-4 :143-149.
	2001	P. A. Farrell, J.J.H. Miller, E. O'Riordan and G.I. Shishkin (2001) 'Uniformly convergent finite difference methods for singularly perturbed quasilinear differential equations'. Computational Methods in Applied Mathematics, 1 :154-172.
	1998	J.J.H. Miller, E. O'Riordan, G.I. Shishkin and L.P. Shishkina, (1998) 'Fitted mesh methods for problems with parabolic boundary layers'. Mathematical Proceedings of the Royal Irish Academy, 98A :173-190.
	1998	C. Clavero, J.J.H. Miller, E. O'Riordan and G.I. Shishkin (1998) 'On the numerical solution of a two-dimensional heat transfer problem with a parabolic boundary layer'. CHINESE JOURNAL OF COMPUTATIONAL MATHEMATICS, 16 :27-39.
	1997	M.Stynes and E.O'Riordan (1997) 'A uniformly convergent Galerkin method on a Shishkin mesh for a convection-diffusion problem'. Journal of Mathematical Analysis and Applications, 214 :36-54.
	1996	P.A.Farrell, J.J.H. Miller, E. O'Riordan and G.I. Shishkin (1996) 'A uniformly convergent finite difference scheme for a singularly perturbed semilinear equation'. SIAM Journal on Numerical Analysis, 33,3 :1135-1149.
	1995	A.F.Hegarty, J.J.H.Miller, E.O'Riordan, G.I.Shishkin, (1995) 'On a novel mesh for the regular boundary layers arising in advection-dominated transport in two dimensions'. Communications in Numerical Methods in Engineering, 11 :435-441.
	1995	J.J.H. Miller, E. O'Riordan and G.I. Shishkin. (1995) 'On piecewise-uniform meshes for upwind and central difference operators for solving singularly perturbed problems'. IMA JOURNAL OF NUMERICAL ANALYSIS (OXFORD UNIVERSITY PR, 15 :89-99.
	1995	A.F.Hegarty, J.J.H.Miller, E.O'Riordan, G.I.Shishkin, (1995) 'Special meshes for finite difference approximations to an advection-diffusion equation with parabolic layers'. Journal of Computational Physics, 117 :47-54.
	1994	A.F.Hegarty, J.J.H. Miller , E. O'Riordan and G.I. Shishkin (1994) 'Use of central-difference operators for the solution of singularly perturbed problems'. Communications in Numerical Methods in Engineering, 10 :297-302.
	1993	A.F.Hegarty, E.O'Riordan, M.Stynes, (1993) 'A comparison of uniformly convergent difference schemes for two-dimensional convection-diffusion problems'. Journal of Computational Physics, 105 :24-32.
	1991	M.Stynes and E.O'Riordan (1991) 'An analysis of a singularly perturbed two-point boundary value problem using only finite element techniques'. Mathematics of Computation, 56 :663-675.
	1991	E.O'Riordan and M.Stynes (1991) 'A globally uniformly convergent finite element method for a singularly perturbed elliptic problem in two dimensions'. Mathematics of Computation, 57 :47-62.
	1991	J.J.H.Miller, E.Mullarkey, E.O'Riordan, G.I.Shishkin, (1991) 'A simple recipe for uniformly convergent finite difference schemes for singularly perturbed problems'. 312 :643-648.
	1989	M.Stynes and E.O'Riordan, (1989) 'Uniformly convergent difference schemes for singularly perturbed parabolic diffusion-convection problems without turning points'. Numerische Mathematik, 55 :521-544.
	1988	M.J.Ng-Stynes, E.O'Riordan, M.Stynes (1988) 'Numerical methods for time-dependent convection-diffusion equations'. Journal of Computational and Applied Mathematics, 21 :289-310.
	1987	E.O'Riordan and M.Stynes (1987) 'A uniform finite element method for a conservative singularly perturbed problem'. Journal of Computational and Applied Mathematics, 18 :163-174.
	1987	M.Stynes and E.O'Riordan, (1987) 'and uniform convergence of a difference scheme for a semilinear singular perturbation problem'. Numerische Mathematik, 50 :519-532.
	1986	M.Stynes and E.O'Riordan (1986) 'A uniformly accurate finite element method for a singular perturbation problem in conservative form'. SIAM Journal on Numerical Analysis, 23 :369-375.
	1986	M.Stynes and E.O'Riordan (1986) 'A finite element method for a singularly perturbed boundary value problem'. NUMERISCHE MATHEMATIK ANALYSIS, 50 :1-15.
	1986	E.O'Riordan (1986) 'Numerical methods for singularly perturbed differential equations'. Irish Mathematical Society Newsletter, 16 :14-24.
	1986	E.O'Riordan and M.Stynes, (1986) 'An analysis of a superconvergence result for a singularly perturbed boundary value problem'. Mathematics of Computation, 46 :81-92.
	1986	E.O'Riordan and M.Stynes (1986) 'A uniformly accurate finite element method for a singularly perturbed one-dimensional reaction-diffusion problem'. Mathematics of Computation, 47 :550-570.
	1985	C.Fitzsimons, J.J.H.Miller, E.O'Riordan, (1985) 'Petrov-Galerkin finite element methods for a hinged test space for singularly perturbed problems'. International Journal for Numerical Methods in Engineering, 21 :1803-1812.
	1984	Eugene O'Riordan (1984) 'Singularly perturbed finite element methods'. Numerische Mathematik, 44 :425-434.
	1983	J.J.H.Miller, E.O'Riordan, (1983) 'Hinged finite element method for two-point boundary value problems with a singular perturbation'. NUMERICAL METHODS IN CONTINUUM MECHANICS, 14 :142-154.