AM  Vol.3 No.10 , October 2012
Two Implicit Runge-Kutta Methods for Stochastic Differential Equation
Author(s) Fuwen Lu, Zhiyong Wang*
ABSTRACT
In this paper, the Ito-Taylor expansion of stochastic differential equation is briefly introduced. The colored rooted tree theory is applied to derive strong order 1.0 implicit stochastic Runge-Kutta method(SRK). Two fully implicit schemes are presented and their stability qualities are discussed. And the numerical report illustrates the better numerical behavior.

Cite this paper
F. Lu and Z. Wang, "Two Implicit Runge-Kutta Methods for Stochastic Differential Equation," Applied Mathematics, Vol. 3 No. 10, 2012, pp. 1103-1108. doi: 10.4236/am.2012.310162.
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