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Almost sure and moment exponential stability of Euler-Maruyama discretizations for hybrid stochastic differential equations

Pang, Sulin and Deng, Feiqi and Mao, Xuerong, EPSRC (Funder), National Science Foundation of China (Funder), Jinan University of China (Funder) (2008) Almost sure and moment exponential stability of Euler-Maruyama discretizations for hybrid stochastic differential equations. Journal of Computational and Applied Mathematics, 213 (1). pp. 127-141. ISSN 0377-0427

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Abstract

Positive results are derived concerning the long time dynamics of numerical simulations of stochastic differential equation systems with Markovian switching. Euler-Maruyama discretizations are shown to capture almost sure and momente xponential stability for all sufficiently small timesteps under appropriate conditions.