Numerical methods for fractional diffusion

Author:

Bonito Andrea,Borthagaray Juan Pablo,Nochetto Ricardo H.,Otárola Enrique,Salgado Abner J.

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,Computer Vision and Pattern Recognition,General Engineering,Modeling and Simulation,Software,Theoretical Computer Science

Reference124 articles.

1. Abe, S., Thurner, S.: Anomalous diffusion in view of Einstein’s 1905 theory of Brownian motion. Phys. A Stat. Mech. Appl. 356(2–4), 403–407 (2005)

2. Abramowitz, M., Stegun, I.A.: Handbook of mathematical functions with formulas, graphs, and mathematical tables, volume 55 of National Bureau of Standards Applied Mathematics Series. For sale by the Superintendent of Documents, U.S. Government Printing Office, Washington, D.C. (1964)

3. Acosta, G., Bersetche, F., Borthagaray, J.P.: Finite element approximations for fractional evolution problems. arXiv:1705.09815v1 (2017)

4. Acosta, G., Bersetche, F.M., Borthagaray, J.P.: A short FE implementation for a 2d homogeneous Dirichlet problem of a fractional Laplacian. Comput. Math. Appl. 74(4), 784–816 (2017)

5. Acosta, G., Borthagaray, J.P.: A fractional Laplace equation: regularity of solutions and finite element approximations. SIAM J. Numer. Anal. 55(2), 472–495 (2017)

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