42 citations · 42 across the 3 of their papers we have counts for
Showing math.NAShow all
3 papers · 1 filter
math.NA2024★ 42 cited
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…
math.NA2023
Fitted finite element methods for singularly perturbed elliptic problems of convection-diffusion type
Alan F. Hegarty, Eugene O'Riordan
Fitted finite element methods are constructed for a singularly perturbed convection-diffusion problem in two space dimensions. Exponential splines as basis functions are combined w…
math.NA2021
A numerical method for singularly perturbed convection-diffusion problems posed on smooth domains
Alan F. Hegarty, Eugene O'Riordan
A finite difference method is constructed to solve singularly perturbed convection-diffusion problems posed on smooth domains. Constraints are imposed on the data so that only regu…