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ERROR ANALYSIS OF A FINITE DIFFERENCE METHOD ON GRADED MESHES FOR A TIME-FRACTIONAL DIFFUSION EQUATION

SIAM journal on numerical analysis, 2017-01, Vol.55 (2), p.1057-1079

2017

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Convergence analysis of a finite difference scheme for a two-point boundary value problem with a Riemann–Liouville–Caputo fractional derivative

BIT, 2020-06, Vol.60 (2), p.411-439

2020

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Interior Layers in Singularly Perturbed Problems

Differential Equations and Numerical Analysis, p.25-40

O’Riordan, Eugene

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Robust numerical method for a singularly perturbed problem arising in the modelling of enzyme kinetics

Biomath (Sofia, Bulgaria), 2020-09, Vol.9 (2)

2020

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Necessary conditions for convergence of difference schemes for fractional-derivative two-point boundary value problems

BIT, 2016-12, Vol.56 (4), p.1455-1477

2016

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Parameter-uniform numerical methods for some singularly perturbed nonlinear initial value problems

Numerical algorithms, 2012-12, Vol.61 (4), p.579-611

2012

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Opposing flows in a one dimensional convection-diffusion problem

Central European journal of mathematics, 2012-02, Vol.10 (1), p.85-100

O’Riordan, Eugene

2012

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Singularly Perturbed Initial-Boundary Value Problems with a Pulse in the Initial Condition

Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2016, 2017, p.87-99

2017

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Numerical analysis of a strongly coupled system of two singularly perturbed convection–diffusion problems

Advances in computational mathematics, 2009-02, Vol.30 (2), p.101-121

2009

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A parameter robust Petrov–Galerkin scheme for advection–diffusion–reaction equations

Numerical algorithms, 2011, Vol.56 (1), p.107-127

2011

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Numerical Results for Singularly Perturbed Convection-Diffusion Problems on an Annulus

Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2016, 2017, Vol.120, p.101-112

2017

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Convergence Outside the Initial Layer for a Numerical Method for the Time-Fractional Heat Equation

Numerical Analysis and Its Applications, p.82-94

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A parameter robust Petrov–Galerkin scheme for advection–diffusion–reaction equations

Numerical algorithms, 2011-01, Vol.56 (1), p.107-127

2011

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Numerical Experiments with a Linear Convection–Diffusion Problem Containing a Time-Varying Interior Layer

Boundary and Interior Layers, Computational and Asymptotic Methods - BAIL 2014, 2016, Vol.108, p.221-231

2016

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Parameter-uniform approximations for a singularly perturbed convection-diffusion problem with a discontinuous initial condition

Applied numerical mathematics, 2021-04, Vol.162, p.106-123

2021

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A Parameter-Uniform Finite Difference Method for a Coupled System of Convection-Diffusion Two-Point Boundary Value Problems

高等学校计算数学学报：英文版, 2008-05, Vol.1 (2), p.176-197

Eugene O＇Riordan Jeanne Stynes Martin Stynes

2008

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Parameter‐uniform numerical methods for singularly perturbed linear transport problems

Mathematical methods in the applied sciences, 2022-11, Vol.45 (17), p.11224-11245

2022

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BAIL 2008: Boundary and Interior Layers ; Proceedings of the International Conference on Boundary and Interior Layers ; Computational and Asymptotic Methods, Limerick, July 2008

1. Aufl., 2009

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Singularly perturbed elliptic problems of convection–diffusion type with non-smooth inflow/outflow boundary conditions

Journal of computational and applied mathematics, 2024-12, Vol.451, p.116094, Article 116094

2024

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A Globally Uniformly Convergent Finite Element Method for a Singularly Perturbed Elliptic Problem in Two Dimensions

Mathematics of computation, 1991-09, Vol.57 (195), p.47-62

1991

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On the non-existence of \epsilon-uniform finite difference methods on uniform meshes for semilinear two-point boundary value problems

Mathematics of computation, 1998-04, Vol.67 (222), p.603-617

1998

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A Comparison of Uniformly Convergent Difference Schemes for Two-Dimensional Convection—Diffusion Problems

Journal of computational physics, 1993-03, Vol.105 (1), p.24-32

1993

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Special Meshes for Finite Difference Approximations to an Advection-Diffusion Equation with Parabolic Layers

Journal of computational physics, 1995-03, Vol.117 (1), p.47-54

1995

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

Journal of mathematical analysis and applications, 1997-10, Vol.214 (1), p.36-54

1997

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A Uniformly Convergent Finite Difference Scheme for a Singularly Perturbed Semilinear Equation

SIAM journal on numerical analysis, 1996-06, Vol.33 (3), p.1135-1149

1996

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ERROR ANALYSIS OF A FINITE DIFFERENCE METHOD ON GRADED MESHES FOR A TIME-FRACTIONAL DIFFUSION EQUATION

Convergence analysis of a finite difference scheme for a two-point boundary value problem with a Riemann–Liouville–Caputo fractional derivative

Interior Layers in Singularly Perturbed Problems

Robust numerical method for a singularly perturbed problem arising in the modelling of enzyme kinetics

Necessary conditions for convergence of difference schemes for fractional-derivative two-point boundary value problems

Parameter-uniform numerical methods for some singularly perturbed nonlinear initial value problems

Opposing flows in a one dimensional convection-diffusion problem

Singularly Perturbed Initial-Boundary Value Problems with a Pulse in the Initial Condition

Numerical analysis of a strongly coupled system of two singularly perturbed convection–diffusion problems

A parameter robust Petrov–Galerkin scheme for advection–diffusion–reaction equations

Numerical Results for Singularly Perturbed Convection-Diffusion Problems on an Annulus

Convergence Outside the Initial Layer for a Numerical Method for the Time-Fractional Heat Equation

A parameter robust Petrov–Galerkin scheme for advection–diffusion–reaction equations

Numerical Experiments with a Linear Convection–Diffusion Problem Containing a Time-Varying Interior Layer

Parameter-uniform approximations for a singularly perturbed convection-diffusion problem with a discontinuous initial condition

A Parameter-Uniform Finite Difference Method for a Coupled System of Convection-Diffusion Two-Point Boundary Value Problems

Parameter‐uniform numerical methods for singularly perturbed linear transport problems

BAIL 2008: Boundary and Interior Layers ; Proceedings of the International Conference on Boundary and Interior Layers ; Computational and Asymptotic Methods, Limerick, July 2008

Singularly perturbed elliptic problems of convection–diffusion type with non-smooth inflow/outflow boundary conditions

A Globally Uniformly Convergent Finite Element Method for a Singularly Perturbed Elliptic Problem in Two Dimensions

On the non-existence of \epsilon-uniform finite difference methods on uniform meshes for semilinear two-point boundary value problems

A Comparison of Uniformly Convergent Difference Schemes for Two-Dimensional Convection—Diffusion Problems

Special Meshes for Finite Difference Approximations to an Advection-Diffusion Equation with Parabolic Layers

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

A Uniformly Convergent Finite Difference Scheme for a Singularly Perturbed Semilinear Equation

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