One-step approximations for stochastic functional differential equations

One-step approximations for stochastic functional differential equations
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DOI:
10.1016/j.apnum.2005.05.001
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发表时间:
2006-05
影响因子:
2.8
通讯作者:
E. Buckwar
E. Buckwar
中科院分区:
数学2区
文献类型:
--
作者:
E. Buckwar

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研究了伊藤随机泛函微分方程解的强逼近问题。我们开发了一个一般框架的漂移隐式一步计划的解决方案SFDES的强收敛。一些例子说明了该框架的适用性。
We consider the problem of strong approximations of the solution of Itô stochastic functional differential equations (SFDEs). We develop a general framework for the strong convergence of drift-implicit one-step schemes to the solution of SFDEs. Several examples illustrate the applicability of the framework.