Jose L. Gracia
Orcid: 0000-0003-2538-9027
According to our database1,
Jose L. Gracia
authored at least 42 papers
between 1999 and 2024.
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Bibliography
2024
Singularly perturbed elliptic problems of convection-diffusion type with non-smooth inflow/outflow boundary conditions.
J. Comput. Appl. Math., 2024
A collocation method for an RLC fractional derivative two-point boundary value problem with a singular solution.
Comput. Appl. Math., 2024
2022
J. Comput. Phys., 2022
A singularly perturbed convection-diffusion parabolic problem with incompatible boundary/initial data.
CoRR, 2022
2021
Numerical approximations to a singularly perturbed convection-diffusion problem with a discontinuous initial condition.
Numer. Algorithms, 2021
A finite difference method for an initial-boundary value problem with a Riemann-Liouville-Caputo spatial fractional derivative.
J. Comput. Appl. Math., 2021
Parameter-uniform numerical methods for singularly perturbed linear transport problems.
CoRR, 2021
2020
Singularly perturbed reaction-diffusion problems with discontinuities in the initial and/or the boundary data.
J. Comput. Appl. Math., 2020
Parameter-uniform approximations for a singularly perturbed convection-diffusion problem with a discontinuous initial condition.
CoRR, 2020
2019
Uniformly convergent additive schemes for 2d singularly perturbed parabolic systems of reaction-diffusion type.
Numer. Algorithms, 2019
2018
Convergence in Positive Time for a Finite Difference Method Applied to a Fractional Convection-Diffusion Problem.
Comput. Methods Appl. Math., 2018
2017
Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation.
SIAM J. Numer. Anal., 2017
J. Comput. Appl. Math., 2017
An efficient numerical scheme for 1D parabolic singularly perturbed problems with an interior and boundary layers.
J. Comput. Appl. Math., 2017
Preprocessing schemes for fractional-derivative problems to improve their convergence rates.
Appl. Math. Lett., 2017
2016
Numerical approximation of solution derivatives of singularly perturbed parabolic problems of convection-diffusion type.
Math. Comput., 2016
Convergence Outside the Initial Layer for a Numerical Method for the Time-Fractional Heat Equation.
Proceedings of the Numerical Analysis and Its Applications - 6th International Conference, 2016
2015
Central difference approximation of convection in Caputo fractional derivative two-point boundary value problems.
J. Comput. Appl. Math., 2015
Numerical approximation of solution derivatives in the case of singularly perturbed time dependent reaction-diffusion problems.
J. Comput. Appl. Math., 2015
Boundary Layers in a Two-Point Boundary Value Problem with a Caputo Fractional Derivative.
Comput. Methods Appl. Math., 2015
2014
Uniformly convergent additive finite difference schemes for singularly perturbed parabolic reaction-diffusion systems.
Comput. Math. Appl., 2014
An improved uniformly convergent scheme in space for 1D parabolic reaction-diffusion systems.
Appl. Math. Comput., 2014
2013
A higher order uniformly convergent method with Richardson extrapolation in time for singularly perturbed reaction-diffusion parabolic problems.
J. Comput. Appl. Math., 2013
2012
Numerical Experiments for a Singularly Perturbed Parabolic Problem with Degenerating Convective Term and Discontinuous Source.
Comput. Methods Appl. Math., 2012
Appl. Math. Comput., 2012
A high order HODIE finite difference scheme for 1D parabolic singularly perturbed reaction-diffusion problems.
Appl. Math. Comput., 2012
A Singularly Perturbed Reaction-Diffusion Problem with Incompatible Boundary-Initial Data.
Proceedings of the Numerical Analysis and Its Applications - 5th International Conference, 2012
2011
A simpler analysis of a hybrid numerical method for time-dependent convection-diffusion problems.
J. Comput. Appl. Math., 2011
2010
Multigrid finite element methods on semi-structured triangular grids for planar elasticity.
Numer. Linear Algebra Appl., 2010
J. Comput. Appl. Math., 2010
An almost third order finite difference scheme for singularly perturbed reaction-diffusion systems.
J. Comput. Appl. Math., 2010
On the uniform convergence of a finite difference scheme for time dependent singularly perturbed reaction-diffusion problems.
Appl. Math. Comput., 2010
Adv. Comput. Math., 2010
2009
SIAM J. Sci. Comput., 2009
2008
Numer. Linear Algebra Appl., 2008
2007
A high order uniformly convergent alternating direction scheme for time dependent reaction-diffusion singularly perturbed problems.
Numerische Mathematik, 2007
2006
A defect-correction parameter-uniform numerical method for a singularly perturbed convection-diffusion problem in one dimension.
Numer. Algorithms, 2006
2005
A parameter robust numerical method for a two dimensional reaction-diffusion problem.
Math. Comput., 2005
High order methods for elliptic and time dependent reaction-diffusion singularly perturbed problems.
Appl. Math. Comput., 2005
2000
High Order varepsilon-Uniform Methods for Singularly Perturbed Reaction-Diffusion Problems.
Proceedings of the Numerical Analysis and Its Applications, 2000
1999
High order methods on Shishkin meshes for singular perturbation problems of convection-diffusion type.
Numer. Algorithms, 1999