Artículo

Bonito, A.; Borthagaray, J.P.; Nochetto, R.H.; Otárola, E.; Salgado, A.J. "Numerical methods for fractional diffusion" (2018) Computing and Visualization in Science. 19(5-6):19-46
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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. © 2018, Springer-Verlag GmbH Germany, part of Springer Nature.

Registro:

Documento: Artículo
Título:Numerical methods for fractional diffusion
Autor:Bonito, A.; Borthagaray, J.P.; Nochetto, R.H.; Otárola, E.; Salgado, A.J.
Filiación:Department of Mathematics, Texas A&M University, College Station, TX 77843, United States
IMAS - CONICET and Departamento de Matemática, FCEyN - Universidad de Buenos Aires, Buenos Aires, Argentina
Department of Mathematics and Institute for Physical Science and Technology, University of Maryland, College Park, MD 20742, United States
Departamento de Matemática, Universidad Técnica Federico Santa María, Valparaiso, Chile
Department of Mathematics, University of Tennessee, Knoxville, TN 37996, United States
Palabras clave:Computer science; Visualization; Discretizations; Error estimates; Fractional diffusion; Higher dimensions; Integral formulations; Numerical approximations; Numerical experiments; Taylor formula; Numerical methods
Año:2018
Volumen:19
Número:5-6
Página de inicio:19
Página de fin:46
DOI: http://dx.doi.org/10.1007/s00791-018-0289-y
Título revista:Computing and Visualization in Science
Título revista abreviado:Comput. Visual. Sci.
ISSN:14329360
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14329360_v19_n5-6_p19_Bonito

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Citas:

---------- APA ----------
Bonito, A., Borthagaray, J.P., Nochetto, R.H., Otárola, E. & Salgado, A.J. (2018) . Numerical methods for fractional diffusion. Computing and Visualization in Science, 19(5-6), 19-46.
http://dx.doi.org/10.1007/s00791-018-0289-y
---------- CHICAGO ----------
Bonito, A., Borthagaray, J.P., Nochetto, R.H., Otárola, E., Salgado, A.J. "Numerical methods for fractional diffusion" . Computing and Visualization in Science 19, no. 5-6 (2018) : 19-46.
http://dx.doi.org/10.1007/s00791-018-0289-y
---------- MLA ----------
Bonito, A., Borthagaray, J.P., Nochetto, R.H., Otárola, E., Salgado, A.J. "Numerical methods for fractional diffusion" . Computing and Visualization in Science, vol. 19, no. 5-6, 2018, pp. 19-46.
http://dx.doi.org/10.1007/s00791-018-0289-y
---------- VANCOUVER ----------
Bonito, A., Borthagaray, J.P., Nochetto, R.H., Otárola, E., Salgado, A.J. Numerical methods for fractional diffusion. Comput. Visual. Sci. 2018;19(5-6):19-46.
http://dx.doi.org/10.1007/s00791-018-0289-y