Name
Abstract | ||
|---|---|---|
We present three schemes for the numerical approximation of fractional diffusion, which build on different definitions of such a non-local process. The first method is a PDE approach that applies to the spectral definition and exploits the extension to one higher dimension. The second method is the integral formulation and deals with singular non-integrable kernels. The third method is a discretization of the Dunford–Taylor formula. We discuss pros and cons of each method, error estimates, and document their performance with a few numerical experiments. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1007/s00791-018-0289-y | Computat. and Visualiz. in Science |
Field | DocType | Volume |
Discretization,Mathematical optimization,Mathematical analysis,Numerical approximation,Numerical analysis,Mathematics,Fractional diffusion | Journal | 19 |
Issue | ISSN | Citations |
5-6 | 1432-9360 | 5 |
PageRank | References | Authors |
0.51 | 28 | 5 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Andrea Bonito | 1 | 141 | 19.34 |
| Juan Pablo Borthagaray | 2 | 9 | 1.04 |
| Ricardo H. Nochetto | 3 | 907 | 110.08 |
| Enrique Otárola | 4 | 86 | 13.91 |
| Abner J. Salgado | 5 | 105 | 13.27 |