| Fitted numerical methods for singular perturbation problems: error estimates in the maximum norm for linear problems in one and two dimensions JJH Miller, E O'riordan, GI Shishkin World scientific, 2012 | 2011 | 2012 |
| Robust Computational Techniques for Boundary Layers. PA Farrell, AF Hegarty, JJH Miller, E O'Riordan, GI Shishkin Chapman-Hall/CRC, New York, 2000 | 1263 | 2000 |
| Error analysis of a finite difference method on graded meshes for a time-fractional diffusion equation M Stynes, E O'Riordan, JL Gracia SIAM Journal on Numerical Analysis 55 (2), 1057-1079, 2017 | 782 | 2017 |
| A uniformly convergent Galerkin method on a Shishkin mesh for a convection-diffusion problem M Stynes, E O'Riordan Journal of Mathematical Analysis and Applications 214 (1), 36-54, 1997 | 173 | 1997 |
| Fitted mesh methods for problems with parabolic boundary layers JJH Miller, E O'Riordan, GI Shishkin, LP Shishkina Mathematical Proceedings of the Royal Irish Academy, 173-190, 1998 | 146 | 1998 |
| Shishkin meshes in the numerical solution of singularly perturbed differential equations N Kopteva, E O'Riordan University of Limerick, 2010 | 137 | 2010 |
| A numerical method for a system of singularly perturbed reaction–diffusion equations S Matthews, E O'Riordan, GI Shishkin Journal of Computational and Applied Mathematics 145 (1), 151-166, 2002 | 131 | 2002 |
| Singularly perturbed convection–diffusion problems with boundary and weak interior layers PA Farrell, AF Hegarty, JJH Miller, E O'Riordan, GI Shishkin Journal of Computational and Applied Mathematics 166 (1), 133-151, 2004 | 116 | 2004 |
| A parameter robust numerical method for a two dimensional reaction-diffusion problem C Clavero, J Gracia, E O’Riordan Mathematics of Computation 74 (252), 1743-1758, 2005 | 113 | 2005 |
| A parameter robust second order numerical method for a singularly perturbed two-parameter problem JL Gracia, E O'Riordan, ML Pickett Applied Numerical Mathematics 56 (7), 962-980, 2006 | 108 | 2006 |
| A uniformly accurate finite-element method for a singularly perturbed one-dimensional reaction-diffusion problem E O’Riordan, M Stynes Mathematics of Computation 47 (176), 555-570, 1986 | 108 | 1986 |
| A globally uniformly convergent finite element method for a singularly perturbed elliptic problem in two dimensions E O’Riordan, M Stynes Mathematics of computation 57 (195), 47-62, 1991 | 107 | 1991 |
| Global maximum norm parameter-uniform numerical method for a singularly perturbed convection-diffusion problem with discontinuous convection coefficient PA Farrell, AF Hegarty, JJH Miller, E O'Riordan, GI Shishkin Mathematical and Computer Modelling 40 (11-12), 1375-1392, 2004 | 105 | 2004 |
| Parameter-uniform finite difference schemes for singularly perturbed parabolic diffusion-convection-reaction problems E O’Riordan, M Pickett, G Shishkin Mathematics of Computation 75 (255), 1135-1154, 2006 | 88 | 2006 |
| Singularly perturbed differential equations with discontinuous source terms PA Farrell, JJH Miller, E O’Riordan, GI Shishkin Analytical and numerical methods for convection-dominated and singularly …, 2000 | 87 | 2000 |
| Singularly perturbed problems modeling reaction-convection-diffusion processes E O'Riordan, ML Pickett, GI Shishkin Computational Methods in Applied Mathematics 3 (3), 424-442, 2003 | 82 | 2003 |
| A parameter robust numerical method for a system of two singularly perturbed convection–diffusion equations S Bellew, E O'Riordan Applied Numerical Mathematics 51 (2-3), 171-186, 2004 | 79 | 2004 |
| On piecewise-uniform meshes for upwind-and central-difference operators for solving singularly perturbed problems JJH Miller, E O'riordan, GI Shishkin IMA journal of numerical analysis 15 (1), 89-99, 1995 | 77 | 1995 |
| Numerical methods for time-dependent convection-diffusion equations MJ Ng-Stynes, E O'Riordan, M Stynes Journal of Computational and Applied mathematics 21 (3), 289-310, 1988 | 76 | 1988 |
| A finite element method for a singularly perturbed boundary value problem M Stynes, E O'Riordan Numerische Mathematik 50, 1-15, 1986 | 73 | 1986 |
John J H MillerFellow Emeritus, Trinity College, DublinVerified email at tcd.ie
