Eugene O'Riordan
#87,808
Most Influential Person Now
Irish academic
Eugene O'Riordan's AcademicInfluence.com Rankings
Download Badge
Physics
Eugene O'Riordan's Degrees
- Bachelors Physics National University of Ireland
- Masters Physics National University of Ireland
- PhD Physics National University of Ireland
Why Is Eugene O'Riordan Influential?
(Suggest an Edit or Addition)According to Wikipedia, Eugene O'Riordan is an author and professor at the Dublin City University School of Mathematical Sciences, Dublin, Ireland. His areas of research include singularly perturbed differential equations, numerical analysis and Shishkin meshes.
Eugene O'Riordan's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Robust Computational Techniques for Boundary Layers (2000) (799)
- Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation (2017) (507)
- A Uniformly Convergent Galerkin Method on a Shishkin Mesh for a Convection-Diffusion Problem☆ (1997) (128)
- A numerical method for a system of singularly perturbed reaction-diffusion equations (2002) (110)
- Singularly perturbed convection-diffusion problems with boundary and weak interior layers (2004) (94)
- Shishkin meshes in the numerical solution of singularly perturbed differential equations (2010) (88)
- A parameter robust numerical method for a two dimensional reaction-diffusion problem (2005) (87)
- Global maximum norm parameter-uniform numerical method for a singularly perturbed convection-diffusion problem with discontinuous convection coefficient (2004) (83)
- A uniformly accurate finite-element method for a singularly perturbed one-dimensional reaction-diffusion (1986) (80)
- A globally uniformly convergent finite element method for a singularly perturbed elliptic problem in two dimensions (1991) (75)
- A parameter robust second order numerical method for a singularly perturbed two-parameter problem (2006) (70)
- A parameter robust numerical method for a system of two singularly perturbed convection-diffusion equations (2004) (62)
- Parameter-uniform finite difference schemes for singularly perturbed parabolic diffusion-convection-reaction problems (2006) (61)
- On piecewise-uniform meshes for upwind- and central-difference operators for solving singularly perturbed problems (1995) (56)
- Numerical methods for time-dependent convection-diffusion equations (1988) (54)
- Uniformly convergent difference schemes for singularly perturbed parabolic diffusion-convection problems without turning points (1989) (51)
- Singularly perturbed parabolic problems with non-smooth data (2004) (50)
- A uniformly convergent finite difference scheme for a singularly perturbed semilinear equation (1996) (48)
- Singularly perturbed differential equations with discontinuous source terms (1998) (45)
- A finite element method for a singularly perturbed boundary value problem (1986) (42)
- Special meshes for finite difference approximations to an advection-diffusion equation with parabolic layers (1995) (42)
- A class of singularly perturbed semilinear differential equations with interior layers (2005) (40)
- A Comparison of Uniformly Convergent Difference Schemes for Two-Dimensional Convection-Diffusion Problems (1993) (39)
- Convergence in Positive Time for a Finite Difference Method Applied to a Fractional Convection-Diffusion Problem (2017) (38)
- A coupled system of singularly perturbed parabolic reaction-diffusion equations (2010) (37)
- Numerical Methods for Singular Perturbation Problems (1996) (36)
- Numerical analysis of a strongly coupled system of two singularly perturbed convection–diffusion problems (2009) (36)
- An analysis of a singularly perturbed two-point boundary value problem using only finite element techniques (1991) (33)
- A Fitted Scheme for a Caputo Initial-Boundary Value Problem (2018) (32)
- A parameter-uniform Schwarz method for a singularly perturbed reaction-diffusion problem with an interior layer (2000) (31)
- A Fitted Mesh Method for a Class of Singularly Perturbed Parabolic Problems with a Boundary Turning Point (2003) (31)
- A uniformly accurate finite element method for a singular perturbation problem in conservative form (1986) (31)
- Parameter uniform numerical methods for singularly perturbed elliptic problems with parabolic boundary layers (2008) (30)
- On the non-existence of epsilon-uniform finite difference methods on uniform meshes for semilinear two-point boundary value problems (1998) (29)
- Parameter-uniform numerical methods for some linear and nonlinear singularly perturbed convection diffusion boundary turning point problems (2011) (28)
- INTERIOR LAYERS IN A REACTION–DIFFUSION EQUATION WITH A DISCONTINUOUS DIFFUSION COEFFICIENT (2010) (28)
- A second-order parameter-uniform overlapping Schwarz method for reaction-diffusion problems with boundary layers (2001) (27)
- An analysis of a superconvergence result for a singularly perturbed boundary value problem (1986) (24)
- A technique to prove parameter-uniform convergence for a singularly perturbed convection-diffusion equation (2007) (22)
- Singularly perturbed finite element methods (1984) (18)
- A defect–correction parameter-uniform numerical method for a singularly perturbed convection–diffusion problem in one dimension (2006) (17)
- A parameter robust numerical method for a system of singularly perturbed ordinary differential equations (2000) (17)
- Parameter–uniform Fitted Mesh Method for Quasilinear Differential Equations with Boundary Layers (2001) (15)
- A System of Singularly Perturbed Semilinear Equations (2009) (14)
- Numerical Method for a Nonlinear Singularly Perturbed Interior Layer Problem (2011) (14)
- A Shishkin mesh for a singularly perturbed Riccati equation (2005) (14)
- Numerical approximation of solution derivatives in the case of singularly perturbed time dependent reaction-diffusion problems (2015) (14)
- A parameter robust Petrov–Galerkin scheme for advection–diffusion–reaction equations (2010) (13)
- L1 andL∞ Uniform convergence of a difference scheme for a semilinear singular perturbation problem (1987) (13)
- A singularly perturbed parabolic problem with a layer in the initial condition (2012) (13)
- A linearised singularly perturbed convection–diffusion problem with an interior layer (2015) (12)
- Numerical approximation of solution derivatives of singularly perturbed parabolic problems of convection-diffusion type (2015) (12)
- Numerical methods for singularly perturbed elliptic problems containing two perturbation parameters 1 (2006) (12)
- A Singularly Perturbed Convection Diffusion Turning Point Problem with an Interior Layer (2012) (12)
- Use of central-difference operators for solution of singularly perturbed problems (1994) (12)
- Fitted mesh numerical methods for singularly perturbed elliptic problems with mixed derivatives (2009) (12)
- A class of singularly perturbed quasilinear differential equations with interior layers (2009) (11)
- Numerical approximations to the scaled first derivatives of the solution to a two parameter singularly perturbed problem (2019) (11)
- The convergence of classical schwarz methods applied to convection-diffusion problems with regular boundary layers (2002) (11)
- The necessity of fitted operators and Shishkin meshes for resolving thin layer phenomena (1997) (10)
- ON THE NON-EXISTENCE OF ε-UNIFORM FINITE DIFFERENCE METHODS ON UNIFORM MESHES FOR SEMILINEAR TWO-POINT BOUNDARY VALUE PROBLEMS (1995) (10)
- A parameter robust higher order numerical method for a singularly perturbed two – parameter problem ∗ (2004) (8)
- A SIMPLE RECIPE FOR UNIFORMLY CONVERGENT FINITE DIFFERENCE SCHEMES FOR SINGULARLY PERTURBED PROBLEMS (1991) (8)
- An Iterative Numerical Algorithm for a Strongly Coupled System of Singularly Perturbed Convection-Diffusion Problems (2009) (8)
- A parameter-uniform numerical method for a singularly perturbed two parameter elliptic problem (2011) (8)
- Singularity Perturbed Parabolic Problems on Non-rectangular Domains (2000) (7)
- A uniform finite element method for a conservative singularly perturbed problem (1987) (7)
- Convergence analysis of a finite difference scheme for a two-point boundary value problem with a Riemann–Liouville–Caputo fractional derivative (2020) (7)
- On the Design of Piecewise Uniform Meshes for Solving Advection-Dominated Transport Equations to a Prescribed Accuracy (1995) (6)
- A singularly perturbed convection-diffusion problem with a moving interior layer ∗ (2011) (6)
- Interior Layers in Singularly Perturbed Problems (2016) (6)
- L 1 and L ~ Uniform Convergence of a Difference Scheme for a Semilinear Singular Perturbation Problem (6)
- On Numerical Experiments with Central Difference Operators on Special Piecewise Uniform Meshes for Problems with Boundary Layers (1994) (6)
- Schwarz Methods for Convection-Diffusion Problems (2000) (6)
- Parameter-uniform numerical methods for some singularly perturbed nonlinear initial value problems (2012) (5)
- Opposing flows in a one dimensional convection-diffusion problem (2012) (5)
- A system of singularly perturbed reaction-diffusion equations ∗ (2007) (5)
- On a novel mesh for the regular boundary layers arising in advection-dominated transport in two dimensions (1995) (5)
- An experimental technique for computing parameter-uniform error estimates for numerical solutions of singular perturbation problems, with an application to Prandtl's problem at high Reynolds number (2002) (4)
- A Singularly Perturbed Reaction-Diffusion Problem with Incompatible Boundary-Initial Data (2012) (4)
- Convergence Outside the Initial Layer for a Numerical Method for the Time-Fractional Heat Equation (2016) (4)
- Parameter-uniform numerical method for singularly perturbed convection-diffusion problem on a circular domain (2017) (4)
- A parameter-uniform numerical method for a singularly perturbed convection-diffusion problem posed on an annulus (2018) (4)
- Parameter-uniform numerical methods for singularly perturbed parabolic problems with incompatible boundary-initial data (2018) (4)
- The defect-correction technique applied to singularly perturbed elliptic problems of convection- diffusion type (2006) (4)
- AN ACCURATE NUMERICAL SOLUTION OF A TWO DIMENSIONAL HEAT TRANSFER PROBLEM WITH A PARABOLIC BOUNDARY LAYER (1998) (4)
- Singularly perturbed reaction-diffusion problems with discontinuities in the initial and/or the boundary data (2018) (3)
- Numerical experiments for advection-diffusion problems in a channel with a 180° bend (2001) (3)
- Petrov–Galerkin finite element methods with a hinged test space for singularly perturbed problems (1985) (3)
- A numerical method for a singular perturbation problem arising in the modelling of plasma sheaths (2007) (3)
- A Patched Mesh Method for Singularly Perturbed Eeaction-Diffusion Equations (2009) (3)
- Numerical Results for Singularly Perturbed Convection-Diffusion Problems on an Annulus (2017) (3)
- Scaled discrete derivatives of singularly perturbed elliptic problems (2015) (2)
- Numerical solution of elliptic convection-diffusion problems on fitted meshes (1997) (2)
- Parameter-uniform approximations for a singularly perturbed convection-diffusion problem with a discontinuous initial condition (2020) (2)
- Numerical approximations to a singularly perturbed convection-diffusion problem with a discontinuous initial condition (2020) (2)
- The " { uniform convergence of the discretederivativesfor singularly perturbed problems (1999) (2)
- Computing realistic Reynolds‐uniform error bounds for discrete derivatives of flow velocities in the boundary layer for Prandtl's problem (2003) (2)
- Patches of Finite Elements for Singularly-Perturbed Diffusion Reaction Equations with Discontinuous Coefficients (2010) (2)
- Numerical techniques for flow problems with singularities (2003) (2)
- A singularly perturbed convection-diffusion problem with a moving pulse (2017) (2)
- Parameter-Uniform Numerical Methods for a Class of Singularity Perturbed Problems with a Neumann Boundary Condition (2000) (2)
- Necessary conditions for convergence of difference schemes for fractional-derivative two-point boundary value problems (2016) (2)
- Convergence analysis of a finite difference scheme for a two-point boundary value problem with a Riemann–Liouville–Caputo fractional derivative (2019) (2)
- Marginal states of the resistive tearing mode with flow in cylindrical geometry (2004) (1)
- A singularly perturbed time dependent convection diffusion problem with an interior layer ∗ (2010) (1)
- Numerical Analysis of Re-Uniform Convergencefor Boundary Layer Equations for a Flat Plate (1991) (1)
- Simple Fitted Mesh Methods in One Dimension (1996) (1)
- Singularly Perturbed Initial-Boundary Value Problems with a Pulse in the Initial Condition (2017) (1)
- Singularly Perturbed Reaction-Diffusion Problem with a Boundary Turning Point (2009) (1)
- Numerical results for advection‐dominated heat transfer in a moving fluid with a non‐slip boundary condition (1995) (1)
- Numerical Experiments with a Shishkin Numerical Method for a Singularly Perturbed Quasilinear Parabolic Problem with an Interior Layer (2012) (1)
- A Numerical Method for the Hemker Problem (2020) (1)
- Numerical Experiments with a Linear Convection–Diffusion Problem Containing a Time-Varying Interior Layer (2015) (1)
- Robust numerical method for a singularly perturbed problem arising in the modelling of enzyme kinetics (2020) (1)
- Numerical approximations to the scaled first derivatives of a two parameter singularly perturbed problem (2017) (1)
- A Singularly Perturbed Convection Diffusion Parabolic Problem with an Interior Layer (2011) (0)
- On a Necessary Requirement for Re-Uniform Numerical Methods to Solve Boundary Layer Equations for Flow along a Flat Plate (2000) (0)
- Linear Convection-Diffusion Problems in Two Dimensions and Their Numerical Solution (1996) (0)
- Localized parameter-explicit bounds on the derivatives of the solution to a singularly perturbed two parameter elliptic problem (2010) (0)
- Convergence of Fitted Mesh Finite Difference Methods for Linear Convection-Diffusion Problems in Two Dimensions with Regular Boundary Layers (1996) (0)
- Convergence of Schwarz Iterative Methods for Fitted Mesh Methods in One Dimension (1996) (0)
- Motivation for the Study of Singular Perturbation Problems (1996) (0)
- Parameter-uniform numerical methods for some singularly perturbed nonlinear initial value problems (2012) (0)
- An experimental technique for computingparameter { uniform error estimates for numericalsolutions of singular perturbation problems , withan application to Prandtl ' s problem at highReynolds number (2007) (0)
- A Uniformly Convergent Finite Di erenceScheme for a Singularly Perturbed (1996) (0)
- Parameter‐uniform numerical methods for singularly perturbed linear transport problems (2021) (0)
- Limitations of Fitted Operator Methods on Uniform Rectangular Meshes for Problems with Parabolic Boundary Layers (1996) (0)
- A technique for computing realistic values of theerror parameters for the numerical solutions ofsingular perturbation problems 1 (2007) (0)
- A finite difference method on graded meshes for a time-fractional diffusion equation (2016) (0)
- Numeri al te hniques for ow problems with singularitiesPaul (2002) (0)
- Simple Fitted Operator Methods in One Dimension (1996) (0)
- A Numerical Method for Singularly Perturbed Convection-diffusion Problems Posed on Smooth Domains (2021) (0)
- Convergence of Fitted Mesh Finite Difference Methods for Linear Convection-Diffusion Problems in One Dimension (1996) (0)
- On the Non-existence of "-Uniform FiniteDi erence Methods on Uniform Meshes forSemilinear Two-point Boundary Value (1995) (0)
- Numerical experiments with a linear singularly perturbed time dependent convection – diffusion turning point problem (2015) (0)
- Numerical approximation of a time fractional-derivative initial-boundary value problem with boundary layer (2018) (0)
- Bounds on the Derivatives of Solutions of Linear Convection-Diffusion Problems in Two Dimensions with Regular Boundary Layers (1996) (0)
- A singularly perturbed time dependent reaction-diffusion problem with non-smooth initial conditions ∗ (2012) (0)
- Institute for Numerical and Computational Analysis Dublin , Ireland A Uniformly Convergent Finite Element Method for a Singularly Perturbed Elliptic Problem in Two Dimensions (1989) (0)
- A Fitted Scheme for a Caputo Initial-Boundary Value Problem (2018) (0)
- Simple Examples of Singular Perturbation Problems (1996) (0)
- A singularly perturbed convection-diffusion parabolic problem with incompatible boundary/initial data (2022) (0)
- Examination of the Performance of Robust Numerical Methods for Singularly Perturbed Quasilinear Problems with Interior Layers (2009) (0)
- Fitted Mesh Finite Element Methods for Linear Convection-Diffusion Problems in One Dimension (1996) (0)
- A numerical algorithm to computationally solve the Hemker problem using Shishkin meshes (2020) (0)
- Necessary conditions for convergence of difference schemes for fractional-derivative two-point boundary value problems (2016) (0)
- Properties of Upwind Finite Difference Operators on Piecewise Uniform Fitted Meshes (1996) (0)
- A NUMERICAL METHOD FOR A PLASMA-SHEATH MODELLING PROBLEM (2007) (0)
- Multiscale Convection in One Dimensional Singularly Perturbed Convection-Diffusion Problems (2012) (0)
- Numerical Methods for Singularly Perturbed Parabolic Problems with Incompatible Boundary-Initial Data in Two Space Dimensions (2020) (0)
- Experiments with a Shishkin Algorithm for a Singularly Perturbed Quasilinear Parabolic Problem with a Moving Interior Layer (2013) (0)
- Parameter-uniform numerical method for singularly perturbed convection-diffusion problem on a circular domain (2016) (0)
- Fitted Numerical Methods for Problems with Initial and Parabolic Boundary Layers (1996) (0)
- Parameter-uniform numerical methods for singularly perturbed problems (2018) (0)
This paper list is powered by the following services:
Other Resources About Eugene O'Riordan
What Schools Are Affiliated With Eugene O'Riordan?
Eugene O'Riordan is affiliated with the following schools:
