José Luis Gracia

Publication Activity (10 Years)

Years Active: 2008-2024
Publications (10 Years): 13

Top Topics

Finite Difference Method

Boundary Value Problem

Diffusion Process

Top Venues

J. Comput. Appl. Math.

Comput. Methods Appl. Math.

Appl. Math. Lett.

Publications

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 (2024)
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) (2024)
José Luis Gracia, Eugene O'Riordan, Martin Stynes
A fitted scheme for a Caputo initial-boundary value problem. CoRR (2024)
José Luis Gracia, Eugene O'Riordan
A singularly perturbed convection-diffusion parabolic problem with incompatible boundary/initial data. CoRR (2022)
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 (2021)
José Luis Gracia, Eugene O'Riordan
Numerical approximations to a singularly perturbed convection-diffusion problem with a discontinuous initial condition. Numer. Algorithms 88 (4) (2021)
José Luis Gracia, Eugene O'Riordan
Parameter-uniform approximations for a singularly perturbed convection-diffusion problem with a discontinuous initial condition. CoRR (2020)
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)
José Luis Gracia, Eugene O'Riordan
Numerical approximations to a singularly perturbed convection-diffusion problem with a discontinuous initial condition. CoRR (2020)
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) (2018)
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) (2017)
Martin Stynes, José Luis Gracia
Preprocessing schemes for fractional-derivative problems to improve their convergence rates. Appl. Math. Lett. 74 (2017)
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)
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) (2015)
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) (2008)