Application of semiclassical approximation to stochastic differential equations

Malyutin Victor () and Nurjanov Berdakh ()
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Malyutin Victor: Department of Nonlinear and Stochastic Analysis, Institute of Mathematics of the National Academy of Sciences of Belarus, Minsk, Belarus
Nurjanov Berdakh: Karakalpak Branch, V. I. Romanovsky Institute of Mathematics of the Academy of Sciences of the Republic of Uzbekistan, Tashkent, Uzbekistan

Monte Carlo Methods and Applications, 2024, vol. 30, issue 4, 389-395

Abstract: A method for calculating the characteristics of stochastic differential equations using semiclassical approximation is proposed. For a stochastic differential equation arising in the study of the pure birth process (Yule process) and the Cox Ingersoll Ross (CIR) model, an analysis of the accuracy of the semiclassical approximation was carried out. This analysis is based on a comparison of approximate values with exact values for the mathematical expectation of a solution to the equation.

Keywords: Semiclassical approximation; stochastic differential equation; functional integral; classical trajectory (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1515/mcma-2024-2017

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