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A method for the calculation of characteristics for the solution to stochastic differential equations

  • Alexander Egorov EMAIL logo and Victor Malyutin

Abstract

In this work, a new numerical method to calculate the characteristics of the solution to stochastic differential equations is presented. This method is based on the Fokker–Planck equation for the transition probability function and the representation of the transition probability function by means of eigenfunctions of the Fokker–Planck operator. The results of the numerical experiments are presented.

MSC 2010: 65C30; 60H35

Award Identifier / Grant number: ü F15-035

Funding statement: This work is supported by Belarusian Republican Foundation for Fundamental Research (grant F15-035).

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Received: 2017-2-5
Accepted: 2017-5-18
Published Online: 2017-6-30
Published in Print: 2017-9-1

© 2017 Walter de Gruyter GmbH, Berlin/Boston

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