Matignon, Denis Diffusive representations for fractional Laplacian: systems theory framework and numerical issues. (2009) Physica Scripta, T136 (014009). 1-6. ISSN 0031-8949
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(Document in English)
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Official URL: http://dx.doi.org/10.1088/0031-8949/2009/T136/014009
Abstract
Bridging the gap between an abstract definition of pseudo-differential operators, such as (-\Delta)^{\gamma} for - 1/2 < \gamma < 1/2, and a concrete way to represent them has proved difficult; deriving stable numerical schemes for such operators is not an easy task either. Thus, the framework of diffusive representations, as already developed for causal fractional integrals and derivatives, is being applied to fractional Laplacian: it can be seen as an extension of the Wiener-Hopf factorization and splitting techniques to irrational transfer functions.
Item Type: | Article |
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Audience (journal): | International peer-reviewed journal |
Uncontrolled Keywords: | |
Institution: | Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE) |
Laboratory name: | Département de Mathématiques, Informatique, Automatique - DMIA (Toulouse, France) - Modelisation et Architecture des Systèmes - MARS |
Statistics: | download |
Deposited On: | 03 May 2010 10:07 |
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