76 citations · 150 across the 9 of their papers we have counts for
9 papers
A fitted scheme for a Caputo initial-boundary value problem
J. L. Gracia, E. O'Riordan, M. Stynes
In this paper we consider an initial-boundary value problem with a Caputo time derivative of order . The solution typically exhibits a weak singularity near the initial…
A singularly perturbed convection-diffusion parabolic problem with incompatible boundary/initial data
Jose Luis Gracia, Eugene O'Riordan
A singularly perturbed parabolic problem of convection-diffusion type with incompatible inflow boundary and initial conditions is examined. In the case of constant coefficients, a…
Parameter-uniform numerical methods for singularly perturbed linear transport problems
J. L. Gracia, A. Navas-Montilla, E. O'Riordan
Pointwise accurate numerical methods are constructed and analysed for three classes of singularly perturbed first order transport problems. The methods involve piecewise-uniform Sh…
Parameter-uniform approximations for a singularly perturbed convection-diffusion problem with a discontinuous initial condition
Jose Luis Gracia, Eugene O'Riordan
A singularly perturbed parabolic problem of convection-diffusion type with a discontinuous initial condition is examined. A particular complimentary error function is identified wh…
Numerical approximations to a singularly perturbed convection-diffusion problem with a discontinuous initial condition
Jose Luis Gracia, Eugene O'Riordan
A singularly perturbed parabolic problem of convection-diffusion type with a discontinuous initial condition is examined. An analytic function is identified which matches the disco…
Singularly perturbed reaction-diffusion problems with discontinuities in the initial and/or the boundary data
Jose Luis Gracia, Eugene O'Riordan
Numerical approximations to the solutions of three different problem classes of singularly perturbed parabolic reaction-diffusion problems, each with a discontinuity in the bound\-…
Parameter-uniform numerical methods for singularly perturbed parabolic problems with incompatible boundary-initial data
Jose Luis Gracia, Eugene O'Riordan
Numerical approximations to the solution of a linear singularly perturbed parabolic reaction-diffusion problem with incompatible bound\-ary-initial data are generated, The method i…
A finite difference method for a two-point boundary value problem with a Caputo fractional derivative
Martin Stynes, José Luis Gracia
A two-point boundary value problem whose highest-order term is a Caputo fractional derivative of order is considered. Al-Refai's comparison principle is improved and m…
Characterization of a medium size Xe/TMA TPC instrumented with microbulk Micromegas, using low-energy -rays
The NEXT collaboration, V. Alvarez, F. I. G. M. Borges +87
NEXT-MM is a general-purpose high pressure (10 bar, l active volume) Xenon-based TPC, read out in charge mode with an 8 cm 8 cm-segmented 700 cm plane (1152 ch…