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arxiv: 1704.03158 · v1 · pith:PR6XZTAXnew · submitted 2017-04-11 · 🧮 math.PR

Exponential stability of modified truncated EM method for stochastic differential equations

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keywords exponentialmethodstabilitydifferentialequationsmodifiedstochastictruncated
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Exponential stability of modified truncated Euler-Maruyama method for stochastic differential equations are investigated in this paper. Sufficient conditions for the $p$-th moment and almost sure exponential stability of the given numerical method are presented. An example is provided to support our conclusions.

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