High order methods on Shishkin meshes for singular perturbation problems of convection-diffusion type. - Carmelo Clavero; Jose L. Gracia; Francisco Javier Lisbona (Numer. Algorithms, 1999)

High Order varepsilon-Uniform Methods for Singularly Perturbed Reaction-Diffusion Problems. - Jose L. Gracia; Francisco Javier Lisbona; Carmelo Clavero (NAA, 2000)

High order methods for elliptic and time dependent reaction-diffusion singularly perturbed problems. - Carmelo Clavero; Jose L. Gracia (Appl. Math. Comput., 2005)

A parameter robust numerical method for a two dimensional reaction-diffusion problem. - Carmelo Clavero; Jose L. Gracia; Eugene O'Riordan (Math. Comput., 2005)

A defect-correction parameter-uniform numerical method for a singularly perturbed convection-diffusion problem in one dimension. - Jose L. Gracia; Eugene O'Riordan (Numer. Algorithms, 2006)

A high order uniformly convergent alternating direction scheme for time dependent reaction-diffusion singularly perturbed problems. - Blanca Bujanda; Carmelo Clavero; Jose L. Gracia; Juan Carlos Jorge (Numerische Mathematik, 2007)

Distributive smoothers in multigrid for problems with dominating grad-div operators. - Francisco José Gaspar; José Luis Gracia; Francisco Javier Lisbona; Cornelis W. Oosterlee (Numer. Linear Algebra Appl., 2008)

Fourier Analysis for Multigrid Methods on Triangular Grids. - Francisco José Gaspar; Jose L. Gracia; Francisco Javier Lisbona (SIAM J. Sci. Comput., 2009)

A coupled system of singularly perturbed parabolic reaction-diffusion equations. - Jose L. Gracia; Francisco Javier Lisbona; Eugene O'Riordan (Adv. Comput. Math., 2010)

On the uniform convergence of a finite difference scheme for time dependent singularly perturbed reaction-diffusion problems. - Carmelo Clavero; Jose L. Gracia (Appl. Math. Comput., 2010)

An almost third order finite difference scheme for singularly perturbed reaction-diffusion systems. - Carmelo Clavero; Jose L. Gracia; Francisco Javier Lisbona (J. Comput. Appl. Math., 2010)

Efficient geometric multigrid implementation for triangular grids. - Francisco José Gaspar; Jose L. Gracia; Francisco Javier Lisbona; Carmen Rodrigo (J. Comput. Appl. Math., 2010)

Multigrid finite element methods on semi-structured triangular grids for planar elasticity. - Francisco José Gaspar; Francisco Javier Lisbona; Jose L. Gracia; Carmen Rodrigo (Numer. Linear Algebra Appl., 2010)

A simpler analysis of a hybrid numerical method for time-dependent convection-diffusion problems. - Carmelo Clavero; Jose L. Gracia; Martin Stynes (J. Comput. Appl. Math., 2011)

A Singularly Perturbed Reaction-Diffusion Problem with Incompatible Boundary-Initial Data. - Jose L. Gracia; Eugene O'Riordan (NAA, 2012)

A high order HODIE finite difference scheme for 1D parabolic singularly perturbed reaction-diffusion problems. - Carmelo Clavero; Jose L. Gracia (Appl. Math. Comput., 2012)

A singularly perturbed parabolic problem with a layer in the initial condition. - Jose L. Gracia; Eugene O'Riordan (Appl. Math. Comput., 2012)

Numerical Experiments for a Singularly Perturbed Parabolic Problem with Degenerating Convective Term and Discontinuous Source. - Carmelo Clavero; Jose L. Gracia; Grigorii I. Shishkin; Lidia P. Shishkina (Comput. Methods Appl. Math., 2012)

A higher order uniformly convergent method with Richardson extrapolation in time for singularly perturbed reaction-diffusion parabolic problems. - Carmelo Clavero; Jose L. Gracia (J. Comput. Appl. Math., 2013)

An improved uniformly convergent scheme in space for 1D parabolic reaction-diffusion systems. - Carmelo Clavero; Jose L. Gracia (Appl. Math. Comput., 2014)

Uniformly convergent additive finite difference schemes for singularly perturbed parabolic reaction-diffusion systems. - Carmelo Clavero; Jose L. Gracia (Comput. Math. Appl., 2014)

Boundary Layers in a Two-Point Boundary Value Problem with a Caputo Fractional Derivative. - Martin Stynes; José Luis Gracia (Comput. Methods Appl. Math., 2015)

Numerical approximation of solution derivatives in the case of singularly perturbed time dependent reaction-diffusion problems. - Jose L. Gracia; Eugene O'Riordan (J. Comput. Appl. Math., 2015)

Central difference approximation of convection in Caputo fractional derivative two-point boundary value problems. - Jose L. Gracia; Martin Stynes (J. Comput. Appl. Math., 2015)

Convergence Outside the Initial Layer for a Numerical Method for the Time-Fractional Heat Equation. - José Luis Gracia; Eugene O'Riordan; Martin Stynes (NAA, 2016)

Numerical approximation of solution derivatives of singularly perturbed parabolic problems of convection-diffusion type. - Jose L. Gracia; Eugene O'Riordan (Math. Comput., 2016)

Preprocessing schemes for fractional-derivative problems to improve their convergence rates. - Martin Stynes; José Luis Gracia (Appl. Math. Lett., 2017)

An efficient numerical scheme for 1D parabolic singularly perturbed problems with an interior and boundary layers. - Carmelo Clavero; Jose L. Gracia; Grigorii I. Shishkin; Lidia P. Shishkina (J. Comput. Appl. Math., 2017)

A singularly perturbed convection-diffusion problem with a moving pulse. - Jose L. Gracia; Eugene O'Riordan (J. Comput. Appl. Math., 2017)

Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation. - Martin Stynes; Eugene O'Riordan; José Luis Gracia (SIAM J. Numer. Anal., 2017)

Convergence in Positive Time for a Finite Difference Method Applied to a Fractional Convection-Diffusion Problem. - José Luis Gracia; Eugene O'Riordan; Martin Stynes (Comput. Methods Appl. Math., 2018)

A Fitted Scheme for a Caputo Initial-Boundary Value Problem. - Jose L. Gracia; Eugene O'Riordan; Martin Stynes (J. Sci. Comput., 2018)

Uniformly convergent additive schemes for 2d singularly perturbed parabolic systems of reaction-diffusion type. - Carmelo Clavero; Jose L. Gracia (Numer. Algorithms, 2019)

Parameter-uniform approximations for a singularly perturbed convection-diffusion problem with a discontinuous initial condition. - José Luis Gracia; Eugene O'Riordan (CoRR, 2020)

Singularly perturbed reaction-diffusion problems with discontinuities in the initial and/or the boundary data. - José Luis Gracia; Eugene O'Riordan (J. Comput. Appl. Math., 2020)

Parameter-uniform numerical methods for singularly perturbed linear transport problems. - Jose L. Gracia; Adrián Navas-Montilla; Eugene O'Riordan (CoRR, 2021)

A finite difference method for an initial-boundary value problem with a Riemann-Liouville-Caputo spatial fractional derivative. - José Luis Gracia; Martin Stynes (J. Comput. Appl. Math., 2021)

Numerical approximations to a singularly perturbed convection-diffusion problem with a discontinuous initial condition. - José Luis Gracia; Eugene O'Riordan (Numer. Algorithms, 2021)

A singularly perturbed convection-diffusion parabolic problem with incompatible boundary/initial data. - José Luis Gracia; Eugene O'Riordan (CoRR, 2022)

A POD-based ROM strategy for the prediction in time of advection-dominated problems. - P. Solán-Fustero; Jose L. Gracia; Adrián Navas-Montilla; P. García-Navarro (J. Comput. Phys., 2022)

A collocation method for an RLC fractional derivative two-point boundary value problem with a singular solution. - José Luis Gracia; Martin Stynes (Comput. Appl. Math., 2024)

Singularly perturbed elliptic problems of convection-diffusion type with non-smooth inflow/outflow boundary conditions. - José Luis Gracia; Eugene O'Riordan (J. Comput. Appl. Math., 2024)