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Eugene O'Riordan
Eugene O'Riordan
School of Mathematical Sciences, Dublin City University
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Año
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, 1996
19751996
Robust Computational Techniques for Boundary Layers.
PA Farrell, AF Hegarty, JJH Miller, E O'Riordan, GI Shishkin
Chapman-Hall/CRC, New York, 2000
12322000
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
7492017
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
1721997
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
1441998
SHISHKIN MESHES IN THE NUMERICAL SOLUTION OF SINGULARLY PERTURBED DIFFERENTIAL EQUATIONS.
N Kopteva, E O'Riordan
International Journal of Numerical Analysis & Modeling 7 (3), 2010
1342010
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
1262002
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
1122005
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
1122004
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
1071991
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
1071986
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
1062006
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
1032004
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
882000
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
852006
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
822003
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
791995
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
772004
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
761988
Singularly perturbed parabolic problems with non-smooth data
E O'Riordan, GI Shishkin
Journal of computational and applied mathematics 166 (1), 233-245, 2004
742004
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