Simulating a diffusion on a graph. Application to reservoir engineering

Verfasser / Beitragende:
[Antoine Lejay]
Ort, Verlag, Jahr:
2003
Enthalten in:
Monte Carlo Methods and Applications, 9/3(2003-09-01), 241-255
Format:
Artikel (online)
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100 1 |a Lejay  |D Antoine  |u INRIA / Institut Élie Cartan, Campus scientifique, B.P. 239; 54506 Vandœuvre-lès-Nancy CEDEX; France. E-mail: Antoine.Lejay@iecn.u-nancy.fr 
245 1 0 |a Simulating a diffusion on a graph. Application to reservoir engineering  |h [Elektronische Daten]  |c [Antoine Lejay] 
520 3 |a We develop a simple Monte Carlo method to compute the position at a given time of a diffusion on a graph, with constant speed on each edge. This method is exact, and we claim it could be used for simulating the position of a particle in a fissured media. Besides, we advocate that the notion of diffusions on graphs could be useful to understand the behavior of one-dimensional diffusions whose infinitesimal generator has piecewise constant coefficients. 
540 |a Copyright 2003, Walter de Gruyter 
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