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arXiv · 1701.00223

Convergence rates of theta-method for neutral SDDEs under non-globally Lipschitz continuous coefficients

Li Tan·Chenggui Yuan
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Abstract

This paper is concerned with strong convergence and almost sure convergence for neutral stochastic differential delay equations under non-globally Lipschitz continuous coefficients. Convergence rates of $\theta$-EM schemes are given for these equations driven by Brownian motion and pure jumps respectively, where the drift terms satisfy locally one-sided Lipschitz conditions, and diffusion coefficients obey locally Lipschitz conditions, and the corresponding coefficients are highly nonlinear with respect to the delay terms.

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Li Tan, Chenggui Yuan. 2017-01-01. Convergence rates of theta-method for neutral SDDEs under non-globally Lipschitz continuous coefficients. https://arxiv.org/abs/1701.00223

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