W. McLean

activity

20112022

most citedA discrete Grönwall inequality with application to numerical schemes for subdiffusion problems

376 citations · 1.1k across the 19 of their papers we have counts for

collaborators

Showing 2016Show all

3 papers · 1 filter

math.CA2016

Fractional Euler Limits and Their Applications

Shev MacNamara, Bruce I Henry, William McLean

Generalisations of the classical Euler formula to the setting of fractional calculus are discussed. Compound interest and fractional compound interest serve as motivation. Connecti…

math.NA2016★ 31 cited

Exponential sum approximations for $t^{- β}$

William McLean

Given $β > 0$ and $δ > 0$ , the function $t^{- β}$ may be approximated for $t$ in a compact interval $[δ, T]$ by a sum of terms of the form $w e^{- a t}$ , with parameters $w > 0$ and $a > 0$ . On…

math.NA2016★ 6 cited

Finite element approximation of a time-fractional diffusion problem in a non-convex polygonal domain

Kim Ngan Le, William McLean, Bishnu Lamichhane

An initial-boundary value problem for the time-fractional diffusion equation is discretized in space using continuous piecewise-linear finite elements on a polygonal domain with a…

Fractional Euler Limits and Their Applications

Exponential sum approximations for t−β

Finite element approximation of a time-fractional diffusion problem in a non-convex polygonal domain

Exponential sum approximations for $t^{- β}$