- Boundary Conditions for Tempered Fractional Diffusion
Anna Lischke, James F. Kelly, Mark M. Meerschaert, "Boundary conditions for tempered fractional diffusion", 2018. (submitted)
- What Is the Fractional Laplacian?
Anna Lischke, Guofei Pang, Mamikon Gulian, Fangying Song, Christian Glusa, Xiaoning Zheng, Zhiping Mao, Wei Cai, Mark M. Meerschaert, Mark Ainsworth, George Em Karniadakis. (2018). "What Is the Fractional Laplacian?" arXiv preprint.
- A Petrov-Galerkin spectral method of linear complexity for fractional multiterm ODEs on the half line
Anna Lischke, Mohsen Zayernouri, and George Em Karniadakis, "A Petrov-Galerkin spectral method of linear complexity for fractional multiterm ODEs on the half line." SIAM Journal on Scientific Computing, 39(3), 2017.
- Spectral and Spectral Element Methods
Chapter 2.2 in Handbook of Fractional Calculus with Applications. Volume 3: Numerical Methods, DeGruyter. (In Press)
Asymptotic preserving space-time discontinuous Galerkin methods for a class of relaxation systems
Master's Thesis, prepared under the direction of Dr. James Rossmanith
Iowa State University
Defended December 2014.