Papers

  • 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.

Book Chapters

  • Spectral and Spectral Element Methods
  • Chapter 2.2 in Handbook of Fractional Calculus with Applications. Volume 3: Numerical Methods, DeGruyter. (In Press)

Theses

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.