FractionalTimeDG.jl swMATH ID: 38878 Software Authors: Mclean, W. Description: Julia package FractionalTimeDG.jl: Generate coefficient arrays needed for discontinuous Galerkin time-stepping of fractional diffusion problems. Paper: Implementation of high-order, discontinuous Galerkin time stepping for fractional diffusion problems. The discontinuous Galerkin dG method provides a robust and flexible technique for the time integration of fractional diffusion problems. However, a practical implementation uses coefficients defined by integrals that are not easily evaluated. We describe specialised quadrature techniques that efficiently maintain the overall accuracy of the dG method. In addition, we observe in numerical experiments that known superconvergence properties of dG time stepping for classical diffusion problems carry over in a modified form to the fractional-order setting. Homepage: https://arxiv.org/abs/2003.09805 Source Code: https://github.com/billmclean/FractionalTimeDG.jl Dependencies: Julia Related Software: GitHub Cited in: 1 Publication Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year Implementation of high-order, discontinuous Galerkin time stepping for fractional diffusion problems. Zbl 1457.65129McLean, William 2020 Cited by 1 Author 1 McLean, William Cited in 1 Serial 1 The ANZIAM Journal Cited in 3 Fields 1 Partial differential equations (35-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Numerical analysis (65-XX) Citations by Year