Numerical solution algorithms for stochastic differential systems with switching diffusion

Numerical solution algorithms for stochastic differential systems with switching diffusion

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Article ID: iaor2014126
Volume: 74
Issue: 12
Start Page Number: 2037
End Page Number: 2063
Publication Date: Dec 2013
Journal: Automation and Remote Control
Authors: ,
Keywords: stochastic processes, programming: mathematical, numerical analysis
Abstract:

This paper considers mathematical models of hybrid systems governed by stochastic differential equations with Markovian switching of the diffusion component. An extension of the well‐known numerical Taylor schemes is proposed to approximate solutions of such equations. Finally, the results of numerical simulation in Scilab are presented.

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