## Abstract and Applied Analysis

### Strong Convergence of the Split-Step $\theta$-Method for Stochastic Age-Dependent Capital System with Random Jump Magnitudes

#### Abstract

We develop a new split-step $\theta$ (SS$\theta$) method for stochastic age-dependent capital system with random jump magnitudes. The main aim of this paper is to investigate the convergence of the SS$\theta$ method for a class of stochastic age-dependent capital system with random jump magnitudes. It is proved that the proposed method is convergent with strong order 1/2 under given conditions. Finally, an example is simulated to verify the results obtained from theory.

#### Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2014), Article ID 791048, 14 pages.

Dates
First available in Project Euclid: 3 October 2014

https://projecteuclid.org/euclid.aaa/1412361166

Digital Object Identifier
doi:10.1155/2014/791048

Mathematical Reviews number (MathSciNet)
MR3198249

Zentralblatt MATH identifier
07023073

#### Citation

Tan, Jianguo; Rathinasamy, A.; Wang, Hongli; Guo, Yongfeng. Strong Convergence of the Split-Step $\theta$ -Method for Stochastic Age-Dependent Capital System with Random Jump Magnitudes. Abstr. Appl. Anal. 2014, Special Issue (2014), Article ID 791048, 14 pages. doi:10.1155/2014/791048. https://projecteuclid.org/euclid.aaa/1412361166

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