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A note on strong convergence of implicit scheme for SDEs under local one-sided Lipschitz conditions

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In this paper, we aim to study strong convergence of theta-EM scheme for stochastic differential equations under a local one-sided Lipschitz condition. Since the existence and uniqueness of theta-EM solution… Click to show full abstract

In this paper, we aim to study strong convergence of theta-EM scheme for stochastic differential equations under a local one-sided Lipschitz condition. Since the existence and uniqueness of theta-EM solution cannot be guaranteed under the local one-sided Lipschitz condition, a modified theta-EM scheme is proposed, and strong convergence of the numerical solution to the exact solution is given.

Keywords: local one; one sided; sided lipschitz; scheme; strong convergence

Journal Title: International Journal of Computer Mathematics
Year Published: 2021

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