42 citations · 46 across the 13 of their papers we have counts for
Showing 2020Show all
3 papers · 1 filter
math.NA2020
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…
math.NA2020
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…
math.NA2020
A numerical algorithm to computationally solve the Hemker problem using Shishkin meshes
Alan F. Hegarty, Eugene O'Riordan
A numerical algorithm is presented to solve a benchmark problem proposed by Hemker. The algorithm incorporates asymptotic information into the design of appropriate piecewise-unifo…