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ORCIDJose L. Gracia
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Journal Articles
- 2024
[j36]José Luis Gracia
, Martin Stynes:
A collocation method for an RLC fractional derivative two-point boundary value problem with a singular solution. Comput. Appl. Math. 43(4): 199 (2024)- [j35]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) - 2022
- [j34]P. Solán-Fustero, Jose L. Gracia, Adrián Navas-Montilla, P. García-Navarro:
A POD-based ROM strategy for the prediction in time of advection-dominated problems. J. Comput. Phys. 471: 111672 (2022) - 2021
- [j33]José Luis Gracia, Martin Stynes:
A finite difference method for an initial-boundary value problem with a Riemann-Liouville-Caputo spatial fractional derivative. J. Comput. Appl. Math. 381: 113020 (2021) - [j32]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) - 2020
- [j31]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) - 2019
- [j30]Carmelo Clavero, Jose L. Gracia:
Uniformly convergent additive schemes for 2d singularly perturbed parabolic systems of reaction-diffusion type. Numer. Algorithms 80(4): 1097-1120 (2019) - 2018
- [j29]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) - [j28]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
- [j27]Martin Stynes, José Luis Gracia:
Preprocessing schemes for fractional-derivative problems to improve their convergence rates. Appl. Math. Lett. 74: 187-192 (2017) - [j26]Carmelo Clavero, Jose L. Gracia, Grigorii I. Shishkin, Lidia P. Shishkina:
An efficient numerical scheme for 1D parabolic singularly perturbed problems with an interior and boundary layers. J. Comput. Appl. Math. 318: 634-645 (2017) - [j25]Jose L. Gracia, Eugene O'Riordan:
A singularly perturbed convection-diffusion problem with a moving pulse. J. Comput. Appl. Math. 321: 371-388 (2017) - [j24]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
- [j23]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) - 2015
- [j22]Martin Stynes, José Luis Gracia:
Boundary Layers in a Two-Point Boundary Value Problem with a Caputo Fractional Derivative. Comput. Methods Appl. Math. 15(1): 79-95 (2015) - [j21]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) - [j20]Jose L. Gracia, Martin Stynes:
Central difference approximation of convection in Caputo fractional derivative two-point boundary value problems. J. Comput. Appl. Math. 273: 103-115 (2015) - 2014
- [j19]Carmelo Clavero, Jose L. Gracia:
An improved uniformly convergent scheme in space for 1D parabolic reaction-diffusion systems. Appl. Math. Comput. 243: 57-73 (2014) - [j18]Carmelo Clavero, Jose L. Gracia:
Uniformly convergent additive finite difference schemes for singularly perturbed parabolic reaction-diffusion systems. Comput. Math. Appl. 67(3): 655-670 (2014) - 2013
- [j17]Carmelo Clavero, Jose L. Gracia:
A higher order uniformly convergent method with Richardson extrapolation in time for singularly perturbed reaction-diffusion parabolic problems. J. Comput. Appl. Math. 252: 75-85 (2013) - 2012
- [j16]Carmelo Clavero, Jose L. Gracia:
A high order HODIE finite difference scheme for 1D parabolic singularly perturbed reaction-diffusion problems. Appl. Math. Comput. 218(9): 5067-5080 (2012) - [j15]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) - [j14]Carmelo Clavero, Jose L. Gracia, Grigorii I. Shishkin, Lidia P. Shishkina:
Numerical Experiments for a Singularly Perturbed Parabolic Problem with Degenerating Convective Term and Discontinuous Source. Comput. Methods Appl. Math. 12(2): 139-152 (2012) - 2011
- [j13]Carmelo Clavero, Jose L. Gracia, Martin Stynes:
A simpler analysis of a hybrid numerical method for time-dependent convection-diffusion problems. J. Comput. Appl. Math. 235(17): 5240-5248 (2011) - 2010
- [j12]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) - [j11]Carmelo Clavero, Jose L. Gracia:
On the uniform convergence of a finite difference scheme for time dependent singularly perturbed reaction-diffusion problems. Appl. Math. Comput. 216(5): 1478-1488 (2010) - [j10]Francisco José Gaspar, Jose L. Gracia, Francisco Javier Lisbona, Carmen Rodrigo:
Efficient geometric multigrid implementation for triangular grids. J. Comput. Appl. Math. 234(4): 1027-1035 (2010) - [j9]Carmelo Clavero, Jose L. Gracia, Francisco Javier Lisbona:
An almost third order finite difference scheme for singularly perturbed reaction-diffusion systems. J. Comput. Appl. Math. 234(8): 2501-2515 (2010) - [j8]Francisco José Gaspar, Francisco Javier Lisbona, Jose L. Gracia, Carmen Rodrigo:
Multigrid finite element methods on semi-structured triangular grids for planar elasticity. Numer. Linear Algebra Appl. 17(2-3): 473-493 (2010) - 2009
- [j7]Francisco José Gaspar, Jose L. Gracia, Francisco Javier Lisbona:
Fourier Analysis for Multigrid Methods on Triangular Grids. SIAM J. Sci. Comput. 31(3): 2081-2102 (2009) - 2008
- [j6]Francisco José Gaspar, José Luis Gracia, Francisco Javier Lisbona, Cornelis W. Oosterlee:
Distributive smoothers in multigrid for problems with dominating grad-div operators. Numer. Linear Algebra Appl. 15(8): 661-683 (2008) - 2007
- [j5]Blanca Bujanda, Carmelo Clavero, Jose L. Gracia, Juan Carlos Jorge:
A high order uniformly convergent alternating direction scheme for time dependent reaction-diffusion singularly perturbed problems. Numerische Mathematik 107(1): 1-25 (2007) - 2006
- [j4]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
- [j3]Carmelo Clavero, Jose L. Gracia:
High order methods for elliptic and time dependent reaction-diffusion singularly perturbed problems. Appl. Math. Comput. 168(2): 1109-1127 (2005) - [j2]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) - 1999
- [j1]Carmelo Clavero, Jose L. Gracia, Francisco Javier Lisbona:
High order methods on Shishkin meshes for singular perturbation problems of convection-diffusion type. Numer. Algorithms 22(1): 73-97 (1999)
Conference and Workshop Papers
- 2016
- [c3]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 - 2012
- [c2]Jose L. Gracia, Eugene O'Riordan:
A Singularly Perturbed Reaction-Diffusion Problem with Incompatible Boundary-Initial Data. NAA 2012: 303-310 - 2000
- [c1]Jose L. Gracia, Francisco Javier Lisbona, Carmelo Clavero:
High Order varepsilon-Uniform Methods for Singularly Perturbed Reaction-Diffusion Problems. NAA 2000: 350-358
Informal and Other Publications
- 2024
- [i5]José Luis Gracia, Eugene O'Riordan, Martin Stynes:
A fitted scheme for a Caputo initial-boundary value problem. CoRR abs/2401.16156 (2024) - 2022
- [i4]José Luis Gracia, Eugene O'Riordan:
A singularly perturbed convection-diffusion parabolic problem with incompatible boundary/initial data. CoRR abs/2212.09322 (2022) - 2021
- [i3]Jose L. Gracia, Adrián Navas-Montilla, Eugene O'Riordan:
Parameter-uniform numerical methods for singularly perturbed linear transport problems. CoRR abs/2107.12886 (2021) - 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)
Coauthor Index
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