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随机微分方程欧拉格式算法分析 被引量:4

Algorithmic Analysis of Euler Scheme for Stochastic Differential Equations
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摘要 首先给出了线性随机微分方程的欧拉格式算法,然后给出了非线性随机微分方程变步长的欧拉格式算法,接着讨论了其对初值的连续依赖性和收敛性. The Euler scheme for stochastic differential equations is first brought forward, then the Euler scheme with variable step-length for stochastic differential equations is presented, and their convergence and continuous dependence on initial value are discussed.
作者 郭小林
出处 《大学数学》 北大核心 2006年第3期94-99,共6页 College Mathematics
基金 安徽省高等学校自然科学研究项目(2005KJ051)
关键词 随机微分方程 欧拉格式 对初值的连续依赖性 收敛性 stochastic differential equation Euler scheme continuous dependence on initial value convergence
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参考文献7

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  • 2Boleau N,Lepinge D.Numerical methods for stochastic processes[M].New York:Wiley,1994.
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