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24-05-2019 | Original Paper | Issue 4/2020

Stationary distribution of the stochastic theta method for nonlinear stochastic differential equations

Journal:: Numerical Algorithms > Issue 4/2020

Authors:: Yanan Jiang, Lihui Weng, Wei Liu

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Abstract

The existence and uniqueness of the stationary distribution of the numerical solution generated by the stochastic theta method are studied. When the parameter theta takes different values, the requirements on the drift and diffusion coefficients are different. The convergence of the numerical stationary distribution to the true counterpart is investigated. Several numerical experiments are presented to demonstrate the theoretical results.

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Title: Stationary distribution of the stochastic theta method for nonlinear stochastic differential equations
Authors:: Yanan Jiang
Lihui Weng
Wei Liu
Publication date: 24-05-2019
DOI: https://doi.org/10.1007/s11075-019-00735-5
Publisher: Springer US
Journal: Numerical Algorithms
Issue 4/2020
Print ISSN: 1017-1398
Electronic ISSN: 1572-9265

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