Eugene O'Riordan

Orcid: 0000-0002-2363-7181

According to our database1, Eugene O'Riordan authored at least 43 papers between 1998 and 2023.

Collaborative distances:
  • Dijkstra number2 of six.
  • Erdős number3 of five.

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Bibliography

2023
A higher order numerical method for singularly perturbed elliptic problems with characteristic boundary layers.
CoRR, 2023

Fitted finite element methods for singularly perturbed elliptic problems of convection-diffusion type.
CoRR, 2023

2022
A Numerical Method for Singularly Perturbed Convection-diffusion Problems Posed on Smooth Domains.
J. Sci. Comput., 2022

A numerical algorithm to computationally solve the Hemker problem using Shishkin meshes.
J. Comput. Appl. Math., 2022

A singularly perturbed convection-diffusion parabolic problem with incompatible boundary/initial data.
CoRR, 2022

2021
Numerical approximations to a singularly perturbed convection-diffusion problem with a discontinuous initial condition.
Numer. Algorithms, 2021

Parameter-uniform numerical methods for singularly perturbed linear transport problems.
CoRR, 2021

2020
Singularly perturbed reaction-diffusion problems with discontinuities in the initial and/or the boundary data.
J. Comput. Appl. Math., 2020

Parameter-uniform approximations for a singularly perturbed convection-diffusion problem with a discontinuous initial condition.
CoRR, 2020

2019
Numerical approximations to the scaled first derivatives of the solution to a two parameter singularly perturbed problem.
J. Comput. Appl. Math., 2019

A parameter-uniform numerical method for a singularly perturbed convection-diffusion problem posed on an annulus.
Comput. Math. Appl., 2019

2018
A Fitted Scheme for a Caputo Initial-Boundary Value Problem.
J. Sci. Comput., 2018

Convergence in Positive Time for a Finite Difference Method Applied to a Fractional Convection-Diffusion Problem.
Comput. Methods Appl. Math., 2018

2017
Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation.
SIAM J. Numer. Anal., 2017

A singularly perturbed convection-diffusion problem with a moving pulse.
J. Comput. Appl. Math., 2017

Parameter-uniform numerical method for singularly perturbed convection-diffusion problem on a circular domain.
Adv. Comput. Math., 2017

2016
Numerical approximation of solution derivatives of singularly perturbed parabolic problems of convection-diffusion type.
Math. Comput., 2016

Convergence Outside the Initial Layer for a Numerical Method for the Time-Fractional Heat Equation.
Proceedings of the Numerical Analysis and Its Applications - 6th International Conference, 2016

2015
Numerical approximation of solution derivatives in the case of singularly perturbed time dependent reaction-diffusion problems.
J. Comput. Appl. Math., 2015

2012
Parameter-uniform numerical methods for some singularly perturbed nonlinear initial value problems.
Numer. Algorithms, 2012

A Singularly Perturbed Convection Diffusion Turning Point Problem with an Interior Layer.
Comput. Methods Appl. Math., 2012

A singularly perturbed parabolic problem with a layer in the initial condition.
Appl. Math. Comput., 2012

Numerical Experiments with a Shishkin Numerical Method for a Singularly Perturbed Quasilinear Parabolic Problem with an Interior Layer.
Proceedings of the Numerical Analysis and Its Applications - 5th International Conference, 2012

Multiscale Convection in One Dimensional Singularly Perturbed Convection-Diffusion Problems.
Proceedings of the Numerical Analysis and Its Applications - 5th International Conference, 2012

A Singularly Perturbed Reaction-Diffusion Problem with Incompatible Boundary-Initial Data.
Proceedings of the Numerical Analysis and Its Applications - 5th International Conference, 2012

2011
A parameter robust Petrov-Galerkin scheme for advection-diffusion-reaction equations.
Numer. Algorithms, 2011

A parameter-uniform numerical method for a singularly perturbed two parameter elliptic problem.
Adv. Comput. Math., 2011

2010
A coupled system of singularly perturbed parabolic reaction-diffusion equations.
Adv. Comput. Math., 2010

2009
A class of singularly perturbed quasilinear differential equations with interior layers.
Math. Comput., 2009

Numerical analysis of a strongly coupled system of two singularly perturbed convection-diffusion problems.
Adv. Comput. Math., 2009

2008
An Iterative Numerical Algorithm for a Strongly Coupled System of Singularly Perturbed Convection-Diffusion Problems.
Proceedings of the Numerical Analysis and Its Applications, 4th International Conference, 2008

2007
A numerical method for a singular perturbation problem arising in the modelling of plasma sheaths.
Int. J. Comput. Sci. Math., 2007

2006
A defect-correction parameter-uniform numerical method for a singularly perturbed convection-diffusion problem in one dimension.
Numer. Algorithms, 2006

Parameter-uniform finite difference schemes for singularly perturbed parabolic diffusion-convection-reaction problems.
Math. Comput., 2006

2005
A class of singularly perturbed semilinear differential equations with interior layers.
Math. Comput., 2005

A parameter robust numerical method for a two dimensional reaction-diffusion problem.
Math. Comput., 2005

2004
Global maximum norm parameter-uniform numerical method for a singularly perturbed convection-diffusion problem with discontinuous convection coefficient.
Math. Comput. Model., 2004

2001
Numerical experiments for advection-diffusion problems in a channel with a 180° bend.
Appl. Math. Comput., 2001

2000
On a Necessary Requirement for <i>Re</i>-Uniform Numerical Methods to Solve Boundary Layer Equations for Flow along a Flat Plate.
Proceedings of the Numerical Analysis and Its Applications, 2000

Schwarz Methods for Convection-Diffusion Problems.
Proceedings of the Numerical Analysis and Its Applications, 2000

Parameter-Uniform Numerical Methods for a Class of Singularity Perturbed Problems with a Neumann Boundary Condition.
Proceedings of the Numerical Analysis and Its Applications, 2000

Singularity Perturbed Parabolic Problems on Non-rectangular Domains.
Proceedings of the Numerical Analysis and Its Applications, 2000

1998
On the non-existence of epsilon-uniform finite difference methods on uniform meshes for semilinear two-point boundary value problems.
Math. Comput., 1998


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