World's Best Scientists 2026 revealed!
Eugene O'Riordan

Eugene O'Riordan

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Mathematics
Ireland
2026

D-Index & Metrics

Mathematics

D-Index
32
Citations
5199
World Ranking
3156
National Ranking
3

Research.com Recognitions

  • 2026 - Research.com Mathematics in Ireland Leader Award

Overview

Eugene O'Riordan is affiliated with Dublin City University in Ireland. Their research is concentrated primarily in the fields of Mathematics, Engineering, and Computer Science, with a particular emphasis on Numerical Analysis and Computational Theory and Mathematics.

Their recent scholarly work includes the following publications:

  • Numerical approximations to a singularly perturbed convection-diffusion problem with a discontinuous initial condition, 2021, Zaguan (University of Zaragoza Repository)
  • Numerical approximations to a singularly perturbed convection-diffusion problem with a discontinuous initial condition, 2021, Numerical Algorithms
  • Robust numerical method for a singularly perturbed problem arising in the modelling of enzyme kinetics, 2020, BIOMATH
  • Parameter-uniform approximations for a singularly perturbed convection-diffusion problem with a discontinuous initial condition, 2020, Applied Numerical Mathematics
  • A higher order numerical method for singularly perturbed elliptic problems with characteristic boundary layers, 2024, Applied Numerical Mathematics

Frequent publication venues include:

  • arXiv (Cornell University)
  • Applied Numerical Mathematics
  • Journal of Computational and Applied Mathematics
  • Zaguan (University of Zaragoza Repository)
  • Numerical Algorithms

The scientist has collaborated regularly with the following co-authors:

  • J.L. Gracia
  • Alan F. Hegarty
  • John J. H. Miller
  • Adrián Navas-Montilla

O'Riordan's work spans multiple subfields of study, including:

  • Numerical Analysis
  • Computational Theory and Mathematics
  • Mechanical Engineering
  • Computational Mechanics
  • Applied Mathematics

The scientist's research topics cover areas such as:

  • Differential Equations and Numerical Methods
  • Advanced Mathematical Modeling in Engineering
  • Material Science and Thermodynamics
  • Advanced Numerical Methods in Computational Mathematics
  • Differential Equations and Boundary Problems
  • Numerical methods for differential equations
  • Radiative Heat Transfer Studies

Best Publications

  • Robust Computational Techniques for Boundary Layers

    Paul Farrell;Alan Hegarty;John M. Miller;Eugene O'Riordan

  • Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation

    Martin Stynes;Eugene O'Riordan;José Luis Gracia

  • A Uniformly Convergent Galerkin Method on a Shishkin Mesh for a Convection-Diffusion Problem

    Martin Stynes;Eugene O'Riordan

  • A numerical method for a system of singularly perturbed reaction-diffusion equations

    S. Matthews;E. O'Riordan;G. I. Shishkin

  • Singularly perturbed convection-diffusion problems with boundary and weak interior layers

    P. A. Farrell;A. F. Hegarty;J. J. H. Miller;E. O'Riordan

  • Shishkin meshes in the numerical solution of singularly perturbed differential equations

    Natalia Kopteva;Eugene O'Riordan

  • A parameter robust numerical method for a two dimensional reaction-diffusion problem

    Carmelo Clavero;Jose L. Gracia;Eugene O'Riordan

  • A parameter robust second order numerical method for a singularly perturbed two-parameter problem

    J. L. Gracia;E. O'Riordan;M. L. Pickett

  • Global maximum norm parameter-uniform numerical method for a singularly perturbed convection-diffusion problem with discontinuous convection coefficient

    P. A. Farrell;A. F. Hegarty;J. J. H. Miller;E. O'Riordan

  • A uniformly accurate finite-element method for a singularly perturbed one-dimensional reaction-diffusion

    Eugene O'Riordan;Martin Stynes

  • A globally uniformly convergent finite element method for a singularly perturbed elliptic problem in two dimensions

    Eugene O’Riordan;Martin Stynes

  • Parameter-uniform finite difference schemes for singularly perturbed parabolic diffusion-convection-reaction problems

    Eugene O'Riordan;M. L. Pickett;Grigorii I. Shishkin

  • On piecewise-uniform meshes for upwind- and central-difference operators for solving singularly perturbed problems

    J. J. H. Miller;E. O'riordan;G. I. Shishkin

  • Numerical methods for time-dependent convection-diffusion equations

    Mary Jeanne Ng-Stynes;Eugene O'Riordan;Martin Stynes

  • A parameter robust numerical method for a system of two singularly perturbed convection-diffusion equations

    S. Bellew;E. O'Riordan

  • Singularly perturbed parabolic problems with non-smooth data

    E. O'Riordan;G. I. Shishkin

  • A finite element method for a singularly perturbed boundary value problem

    M Stynes;E O'Riordan

  • Uniformly convergent difference schemes for singularly perturbed parabolic diffusion-convection problems without turning points

    Martin Stynes;Eugene O'Riordan

  • A uniformly convergent finite difference scheme for a singularly perturbed semilinear equation

    Paul A. Farrell;John J. H. Miller;Eugene O'Riordan;Grigori I. Shishkin

  • Special meshes for finite difference approximations to an advection-diffusion equation with parabolic layers

    Alan F. Hegarty;John J. H. Miller;Eugene O'Riordan;G. I. Shishkin

Frequent Co-Authors

Martin Stynes
Martin Stynes Beijing Computational Science Research Center

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