2012Unpublished venueRequires access

Strong convergence of numerical solutions of nonlinear hybrid stochastic delay differential equations

Yan Li, Yi Shen

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Abstract

In this paper, the strong convergence of numerical solutions of nonlinear hybrid stochastic delay differential equations is investigated. The coefficients of nonlinear hybrid stochastic delay differential equations satisfy the monotone conditions motivated by many finance and biology models. The strong convergence results is obtained by using stochastic θ-Euler Maruyama scheme.

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What this paper is about

In this paper, the strong convergence of numerical solutions of nonlinear hybrid stochastic delay differential equations is investigated. The coefficients of nonlinear hybrid stochastic delay differential equations satisfy the monotone conditions motivated by many finance and biology models. The strong convergence results is obtained by using stochastic θ-Euler Maruyama scheme.

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Available abstract

In this paper, the strong convergence of numerical solutions of nonlinear hybrid stochastic delay differential equations is investigated. The coefficients of nonlinear hybrid stochastic delay differential equations satisfy the monotone conditions motivated by many finance and biology models. The strong convergence results is obtained by using stochastic θ-Euler Maruyama scheme.

Key concepts: Nonlinear system, Convergence (economics), Stochastic differential equation, Monotone polygon, Stochastic partial differential equation, Delay differential equation, Mathematics, Applied mathematics

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