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ORCIDEugene O'Riordan
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2020 – today
- 2024
[j30]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: 116094 (2024)- [i9]José Luis Gracia, Eugene O'Riordan, Martin Stynes:
A fitted scheme for a Caputo initial-boundary value problem. CoRR abs/2401.16156 (2024) - 2023
- [i8]Alan F. Hegarty, Eugene O'Riordan:
Fitted finite element methods for singularly perturbed elliptic problems of convection-diffusion type. CoRR abs/2310.01237 (2023) - [i7]Alan F. Hegarty, Eugene O'Riordan:
A higher order numerical method for singularly perturbed elliptic problems with characteristic boundary layers. CoRR abs/2311.00554 (2023) - 2022
- [j29]Alan F. Hegarty, Eugene O'Riordan:
A numerical algorithm to computationally solve the Hemker problem using Shishkin meshes. J. Comput. Appl. Math. 409: 114155 (2022) - [j28]Alan F. Hegarty, Eugene O'Riordan:
A Numerical Method for Singularly Perturbed Convection-diffusion Problems Posed on Smooth Domains. J. Sci. Comput. 92(3): 84 (2022) - [i6]José Luis Gracia, Eugene O'Riordan:
A singularly perturbed convection-diffusion parabolic problem with incompatible boundary/initial data. CoRR abs/2212.09322 (2022) - 2021
- [j27]José Luis Gracia, Eugene O'Riordan:
Numerical approximations to a singularly perturbed convection-diffusion problem with a discontinuous initial condition. Numer. Algorithms 88(4): 1851-1873 (2021) - [i5]Jose L. Gracia, Adrián Navas-Montilla, Eugene O'Riordan:
Parameter-uniform numerical methods for singularly perturbed linear transport problems. CoRR abs/2107.12886 (2021) - [i4]Alan F. Hegarty, Eugene O'Riordan:
A numerical method for singularly perturbed convection-diffusion problems posed on smooth domains. CoRR abs/2112.11835 (2021) - 2020
- [j26]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) - [i3]Alan F. Hegarty, Eugene O'Riordan:
A numerical algorithm to computationally solve the Hemker problem using Shishkin meshes. CoRR abs/2006.11096 (2020) - [i2]José Luis Gracia, Eugene O'Riordan:
Numerical approximations to a singularly perturbed convection-diffusion problem with a discontinuous initial condition. CoRR abs/2010.09305 (2020) - [i1]José Luis Gracia, Eugene O'Riordan:
Parameter-uniform approximations for a singularly perturbed convection-diffusion problem with a discontinuous initial condition. CoRR abs/2010.09307 (2020)
2010 – 2019
- 2019
- [j25]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): 3329-3344 (2019) - [j24]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: 128-149 (2019) - 2018
- [j23]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): 33-42 (2018) - [j22]Jose L. Gracia, Eugene O'Riordan, Martin Stynes:
A Fitted Scheme for a Caputo Initial-Boundary Value Problem. J. Sci. Comput. 76(1): 583-609 (2018) - 2017
- [j21]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): 885-909 (2017) - [j20]Jose L. Gracia, Eugene O'Riordan:
A singularly perturbed convection-diffusion problem with a moving pulse. J. Comput. Appl. Math. 321: 371-388 (2017) - [j19]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): 1057-1079 (2017) - 2016
- [j18]Jose L. Gracia, Eugene O'Riordan:
Numerical approximation of solution derivatives of singularly perturbed parabolic problems of convection-diffusion type. Math. Comput. 85(298): 581-599 (2016) - [c9]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: 82-94 - 2015
- [j17]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: 13-24 (2015) - 2012
- [j16]Jose L. Gracia, Eugene O'Riordan:
A singularly perturbed parabolic problem with a layer in the initial condition. Appl. Math. Comput. 219(2): 498-510 (2012) - [j15]Eugene O'Riordan, Jason Quinn:
A Singularly Perturbed Convection Diffusion Turning Point Problem with an Interior Layer. Comput. Methods Appl. Math. 12(2): 206-220 (2012) - [j14]Eugene O'Riordan, Jason Quinn:
Parameter-uniform numerical methods for some singularly perturbed nonlinear initial value problems. Numer. Algorithms 61(4): 579-611 (2012) - [c8]Eugene O'Riordan, Jason Quinn:
Multiscale Convection in One Dimensional Singularly Perturbed Convection-Diffusion Problems. NAA 2012: 73-85 - [c7]Jose L. Gracia, Eugene O'Riordan:
A Singularly Perturbed Reaction-Diffusion Problem with Incompatible Boundary-Initial Data. NAA 2012: 303-310 - [c6]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: 420-427 - 2011
- [j13]Eugene O'Riordan, M. L. Pickett:
A parameter-uniform numerical method for a singularly perturbed two parameter elliptic problem. Adv. Comput. Math. 35(1): 57-82 (2011) - [j12]Carlo de Falco, Eugene O'Riordan:
A parameter robust Petrov-Galerkin scheme for advection-diffusion-reaction equations. Numer. Algorithms 56(1): 107-127 (2011) - 2010
- [j11]Jose L. Gracia, Francisco Javier Lisbona, Eugene O'Riordan:
A coupled system of singularly perturbed parabolic reaction-diffusion equations. Adv. Comput. Math. 32(1): 43-61 (2010)
2000 – 2009
- 2009
- [j10]Eugene O'Riordan, Martin Stynes:
Numerical analysis of a strongly coupled system of two singularly perturbed convection-diffusion problems. Adv. Comput. Math. 30(2): 101-121 (2009) - [j9]Paul A. Farrell, Eugene O'Riordan, Grigorii I. Shishkin:
A class of singularly perturbed quasilinear differential equations with interior layers. Math. Comput. 78(265): 103-127 (2009) - 2008
- [c5]Eugene O'Riordan, Jeanne Stynes, Martin Stynes:
An Iterative Numerical Algorithm for a Strongly Coupled System of Singularly Perturbed Convection-Diffusion Problems. NAA 2008: 104-115 - 2007
- [j8]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): 322-342 (2007) - 2006
- [j7]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): 1135-1154 (2006) - [j6]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): 359-385 (2006) - 2005
- [j5]Carmelo Clavero, Jose L. Gracia, Eugene O'Riordan:
A parameter robust numerical method for a two dimensional reaction-diffusion problem. Math. Comput. 74(252): 1743-1758 (2005) - [j4]Paul A. Farrell, Eugene O'Riordan, Grigorii I. Shishkin:
A class of singularly perturbed semilinear differential equations with interior layers. Math. Comput. 74(252): 1759-1776 (2005) - 2004
- [j3]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): 1375-1392 (2004) - 2001
- [j2]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): 223-246 (2001) - 2000
- [c4]R. K. Dunne, Eugene O'Riordan, Grigorii I. Shishkin:
Singularity Perturbed Parabolic Problems on Non-rectangular Domains. NAA 2000: 265-272 - [c3]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: 292-303 - [c2]H. MacMullen, Eugene O'Riordan, Grigorii I. Shishkin:
Schwarz Methods for Convection-Diffusion Problems. NAA 2000: 544-551 - [c1]Grigorii I. Shishkin, Paul A. Farrell, Alan F. Hegarty, John J. H. Miller, Eugene O'Riordan:
On a Necessary Requirement for Re-Uniform Numerical Methods to Solve Boundary Layer Equations for Flow along a Flat Plate. NAA 2000: 723-731
1990 – 1999
- 1998
- [j1]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): 603-617 (1998)
Coauthor Index
aka: José Luis Gracia
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