Transactions of the Japan Society for Industrial and Applied Mathematics
Online ISSN : 2424-0982
ISSN-L : 0917-2246
Mean-square and Asymptotic Stability of the Stochastic Heun Method
Yoshihiro Saito
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2011 Volume 21 Issue 1 Pages 125-134

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Abstract
The stochastic Heun method is an explicit numerical method for stochastic differential equations. We consider a scalar linear test equation with multiplicative noise for Stratonovich equation, and present mean-square and asymptotic stability analysis of numerical methods for the test equation. Stochastic Heun and Milstein methods are studied, and some results are given.
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© 2011 The Japan Society for Industrial and Applied Mathematics
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