FractionalTimeDG.jl
swMATH ID:  38878 
Software Authors:  Mclean, W. 
Description:  Julia package FractionalTimeDG.jl: Generate coefficient arrays needed for discontinuous Galerkin timestepping of fractional diffusion problems. Paper: Implementation of highorder, 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 fractionalorder setting. 
Homepage:  https://arxiv.org/abs/2003.09805 
Source Code:  https://github.com/billmclean/FractionalTimeDG.jl 
Dependencies:  Julia 
Related Software:  GitHub; rcosmo; CMBProbe; fractal; Healpix 
Cited in:  2 Publications 
Standard Articles
1 Publication describing the Software, including 1 Publication in zbMATH  Year 

Implementation of highorder, discontinuous Galerkin time stepping for fractional diffusion problems. Zbl 1457.65129 McLean, William 
2020

Cited by 4 Authors
1  Broadbridge, Philip 
1  McLean, William 
1  Nanayakkara, Ravindi 
1  Olenko, Andriy Yakovych 
Cited in 1 Serial
2  The ANZIAM Journal 
all
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