Eugene O'Riordan

Publication Activity (10 Years)

Years Active: 1998-2024
Publications (10 Years): 23

Top Topics

Diffusion Processes

Boundary Conditions

Finite Element Method

Top Venues

J. Comput. Appl. Math.

J. Sci. Comput.

SIAM J. Numer. Anal.

Publications

José Luis Gracia, Eugene O'Riordan
Singularly perturbed elliptic problems of convection-diffusion type with non-smooth inflow/outflow boundary conditions. J. Comput. Appl. Math. 451 (2024)
José Luis Gracia, Eugene O'Riordan, Martin Stynes
A fitted scheme for a Caputo initial-boundary value problem. CoRR (2024)
Alan F. Hegarty, Eugene O'Riordan
A higher order numerical method for singularly perturbed elliptic problems with characteristic boundary layers. CoRR (2023)
Alan F. Hegarty, Eugene O'Riordan
Fitted finite element methods for singularly perturbed elliptic problems of convection-diffusion type. CoRR (2023)
Alan F. Hegarty, Eugene O'Riordan
A numerical algorithm to computationally solve the Hemker problem using Shishkin meshes. J. Comput. Appl. Math. 409 (2022)
Alan F. Hegarty, Eugene O'Riordan
A Numerical Method for Singularly Perturbed Convection-diffusion Problems Posed on Smooth Domains. J. Sci. Comput. 92 (3) (2022)
José Luis Gracia, Eugene O'Riordan
A singularly perturbed convection-diffusion parabolic problem with incompatible boundary/initial data. CoRR (2022)
Jose L. Gracia, Adrián Navas-Montilla, Eugene O'Riordan
Parameter-uniform numerical methods for singularly perturbed linear transport problems. CoRR (2021)
José Luis Gracia, Eugene O'Riordan
Numerical approximations to a singularly perturbed convection-diffusion problem with a discontinuous initial condition. Numer. Algorithms 88 (4) (2021)
Alan F. Hegarty, Eugene O'Riordan
A numerical method for singularly perturbed convection-diffusion problems posed on smooth domains. CoRR (2021)
José Luis Gracia, Eugene O'Riordan
Parameter-uniform approximations for a singularly perturbed convection-diffusion problem with a discontinuous initial condition. CoRR (2020)
José Luis Gracia, Eugene O'Riordan
Singularly perturbed reaction-diffusion problems with discontinuities in the initial and/or the boundary data. J. Comput. Appl. Math. 370 (2020)
Alan F. Hegarty, Eugene O'Riordan
A numerical algorithm to computationally solve the Hemker problem using Shishkin meshes. CoRR (2020)
José Luis Gracia, Eugene O'Riordan
Numerical approximations to a singularly perturbed convection-diffusion problem with a discontinuous initial condition. CoRR (2020)
Alan F. Hegarty, Eugene O'Riordan
A parameter-uniform numerical method for a singularly perturbed convection-diffusion problem posed on an annulus. Comput. Math. Appl. 78 (10) (2019)
Eugene O'Riordan, M. L. Pickett
Numerical approximations to the scaled first derivatives of the solution to a two parameter singularly perturbed problem. J. Comput. Appl. Math. 347 (2019)
José Luis Gracia, Eugene O'Riordan, Martin Stynes
Convergence in Positive Time for a Finite Difference Method Applied to a Fractional Convection-Diffusion Problem. Comput. Methods Appl. Math. 18 (1) (2018)
Jose L. Gracia, Eugene O'Riordan, Martin Stynes
A Fitted Scheme for a Caputo Initial-Boundary Value Problem. J. Sci. Comput. 76 (1) (2018)
Martin Stynes, Eugene O'Riordan, José Luis Gracia
Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation. SIAM J. Numer. Anal. 55 (2) (2017)
Alan F. Hegarty, Eugene O'Riordan
Parameter-uniform numerical method for singularly perturbed convection-diffusion problem on a circular domain. Adv. Comput. Math. 43 (5) (2017)
Jose L. Gracia, Eugene O'Riordan
A singularly perturbed convection-diffusion problem with a moving pulse. J. Comput. Appl. Math. 321 (2017)
Jose L. Gracia, Eugene O'Riordan
Numerical approximation of solution derivatives of singularly perturbed parabolic problems of convection-diffusion type. Math. Comput. 85 (298) (2016)
José Luis Gracia, Eugene O'Riordan, Martin Stynes
Convergence Outside the Initial Layer for a Numerical Method for the Time-Fractional Heat Equation. NAA (2016)
Jose L. Gracia, Eugene O'Riordan
Numerical approximation of solution derivatives in the case of singularly perturbed time dependent reaction-diffusion problems. J. Comput. Appl. Math. 273 (2015)
Eugene O'Riordan, Jason Quinn
Multiscale Convection in One Dimensional Singularly Perturbed Convection-Diffusion Problems. NAA (2012)
Jose L. Gracia, Eugene O'Riordan
A singularly perturbed parabolic problem with a layer in the initial condition. Appl. Math. Comput. 219 (2) (2012)
Eugene O'Riordan, Jason Quinn
Parameter-uniform numerical methods for some singularly perturbed nonlinear initial value problems. Numer. Algorithms 61 (4) (2012)
Jose L. Gracia, Eugene O'Riordan
A Singularly Perturbed Reaction-Diffusion Problem with Incompatible Boundary-Initial Data. NAA (2012)
Eugene O'Riordan, Jason Quinn
A Singularly Perturbed Convection Diffusion Turning Point Problem with an Interior Layer. Comput. Methods Appl. Math. 12 (2) (2012)
Eugene O'Riordan, Jason Quinn
Numerical Experiments with a Shishkin Numerical Method for a Singularly Perturbed Quasilinear Parabolic Problem with an Interior Layer. NAA (2012)
Carlo de Falco, Eugene O'Riordan
A parameter robust Petrov-Galerkin scheme for advection-diffusion-reaction equations. Numer. Algorithms 56 (1) (2011)
Eugene O'Riordan, M. L. Pickett
A parameter-uniform numerical method for a singularly perturbed two parameter elliptic problem. Adv. Comput. Math. 35 (1) (2011)
Jose L. Gracia, Francisco Javier Lisbona, Eugene O'Riordan
A coupled system of singularly perturbed parabolic reaction-diffusion equations. Adv. Comput. Math. 32 (1) (2010)
Eugene O'Riordan, Martin Stynes
Numerical analysis of a strongly coupled system of two singularly perturbed convection-diffusion problems. Adv. Comput. Math. 30 (2) (2009)
Paul A. Farrell, Eugene O'Riordan, Grigorii I. Shishkin
A class of singularly perturbed quasilinear differential equations with interior layers. Math. Comput. 78 (265) (2009)
Eugene O'Riordan, Jeanne Stynes, Martin Stynes
An Iterative Numerical Algorithm for a Strongly Coupled System of Singularly Perturbed Convection-Diffusion Problems. NAA (2008)
R. K. Dunne, Eugene O'Riordan, M. M. Turner
A numerical method for a singular perturbation problem arising in the modelling of plasma sheaths. Int. J. Comput. Sci. Math. 1 (2/3/4) (2007)
Eugene O'Riordan, M. L. Pickett, Grigorii I. Shishkin
Parameter-uniform finite difference schemes for singularly perturbed parabolic diffusion-convection-reaction problems. Math. Comput. 75 (255) (2006)
Jose L. Gracia, Eugene O'Riordan
A defect-correction parameter-uniform numerical method for a singularly perturbed convection-diffusion problem in one dimension. Numer. Algorithms 41 (4) (2006)
Paul A. Farrell, Eugene O'Riordan, Grigorii I. Shishkin
A class of singularly perturbed semilinear differential equations with interior layers. Math. Comput. 74 (252) (2005)
Carmelo Clavero, Jose L. Gracia, Eugene O'Riordan
A parameter robust numerical method for a two dimensional reaction-diffusion problem. Math. Comput. 74 (252) (2005)
Paul A. Farrell, Alan F. Hegarty, John J. H. Miller, Eugene O'Riordan, Grigorii I. Shishkin
Global maximum norm parameter-uniform numerical method for a singularly perturbed convection-diffusion problem with discontinuous convection coefficient. Math. Comput. Model. 40 (11-12) (2004)
Carmelo Clavero, John J. H. Miller, Eugene O'Riordan, Grigorii I. Shishkin
Numerical experiments for advection-diffusion problems in a channel with a 180° bend. Appl. Math. Comput. 118 (2-3) (2001)
R. K. Dunne, Eugene O'Riordan, Grigorii I. Shishkin
Singularity Perturbed Parabolic Problems on Non-rectangular Domains. NAA (2000)
Paul A. Farrell, Alan F. Hegarty, John J. H. Miller, Eugene O'Riordan, Grigorii I. Shishkin
Parameter-Uniform Numerical Methods for a Class of Singularity Perturbed Problems with a Neumann Boundary Condition. NAA (2000)
H. MacMullen, Eugene O'Riordan, Grigorii I. Shishkin
Schwarz Methods for Convection-Diffusion Problems. NAA (2000)
Grigorii I. Shishkin, Paul A. Farrell, Alan F. Hegarty, John J. H. Miller, Eugene O'Riordan
-Uniform Numerical Methods to Solve Boundary Layer Equations for Flow along a Flat Plate. NAA (2000)
Paul A. Farrell, John J. H. Miller, Eugene O'Riordan, Grigorii I. Shishkin
On the non-existence of epsilon-uniform finite difference methods on uniform meshes for semilinear two-point boundary value problems. Math. Comput. 67 (222) (1998)