Jose L. Gracia

Publication Activity (10 Years)

Years Active: 1999-2022
Publications (10 Years): 9

Top Topics

Numerical Methods

Finite Difference

Diffusion Process

Cellular Automata

Top Venues

J. Comput. Appl. Math.

J. Comput. Phys.

Comput. Math. Appl.

Publications

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 (2022)
Jose L. Gracia, Adrián Navas-Montilla, Eugene O'Riordan
Parameter-uniform numerical methods for singularly perturbed linear transport problems. CoRR (2021)
Carmelo Clavero, Jose L. Gracia
Uniformly convergent additive schemes for 2d singularly perturbed parabolic systems of reaction-diffusion type. Numer. Algorithms 80 (4) (2019)
Jose L. Gracia, Eugene O'Riordan, Martin Stynes
A Fitted Scheme for a Caputo Initial-Boundary Value Problem. J. Sci. Comput. 76 (1) (2018)
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 (2017)
Jose L. Gracia, Eugene O'Riordan
A singularly perturbed convection-diffusion problem with a moving pulse. J. Comput. Appl. Math. 321 (2017)
Jose L. Gracia, Eugene O'Riordan
Numerical approximation of solution derivatives of singularly perturbed parabolic problems of convection-diffusion type. Math. Comput. 85 (298) (2016)
Jose L. Gracia, Martin Stynes
Central difference approximation of convection in Caputo fractional derivative two-point boundary value problems. J. Comput. Appl. Math. 273 (2015)
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 (2015)
Carmelo Clavero, Jose L. Gracia
Uniformly convergent additive finite difference schemes for singularly perturbed parabolic reaction-diffusion systems. Comput. Math. Appl. 67 (3) (2014)
Carmelo Clavero, Jose L. Gracia
An improved uniformly convergent scheme in space for 1D parabolic reaction-diffusion systems. Appl. Math. Comput. 243 (2014)
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 (2013)
Jose L. Gracia, Eugene O'Riordan
A singularly perturbed parabolic problem with a layer in the initial condition. Appl. Math. Comput. 219 (2) (2012)
Jose L. Gracia, Eugene O'Riordan
A Singularly Perturbed Reaction-Diffusion Problem with Incompatible Boundary-Initial Data. NAA (2012)
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) (2012)
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) (2012)
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) (2011)
Jose L. Gracia, Francisco Javier Lisbona, Eugene O'Riordan
A coupled system of singularly perturbed parabolic reaction-diffusion equations. Adv. Comput. Math. 32 (1) (2010)
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) (2010)
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) (2010)
Francisco José Gaspar, Jose L. Gracia, Francisco Javier Lisbona, Carmen Rodrigo
Efficient geometric multigrid implementation for triangular grids. J. Comput. Appl. Math. 234 (4) (2010)
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) (2010)
Francisco José Gaspar, Jose L. Gracia, Francisco Javier Lisbona
Fourier Analysis for Multigrid Methods on Triangular Grids. SIAM J. Sci. Comput. 31 (3) (2009)
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) (2007)
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) (2006)
Carmelo Clavero, Jose L. Gracia, Eugene O'Riordan
A parameter robust numerical method for a two dimensional reaction-diffusion problem. Math. Comput. 74 (252) (2005)
Carmelo Clavero, Jose L. Gracia
High order methods for elliptic and time dependent reaction-diffusion singularly perturbed problems. Appl. Math. Comput. 168 (2) (2005)
Jose L. Gracia, Francisco Javier Lisbona, Carmelo Clavero
High Order varepsilon-Uniform Methods for Singularly Perturbed Reaction-Diffusion Problems. NAA (2000)
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) (1999)