The logarithmic truncated EM method with weaker conditions
Tang, Yiyi and Mao, Xuerong (2024) The logarithmic truncated EM method with weaker conditions. Applied Numerical Mathematics, 198. pp. 258-275. ISSN 0168-9274 (https://doi.org/10.1016/j.apnum.2024.01.009)
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Abstract
In 2014, Neuenkirch and Szpruch established the drift-implicit Euler-Maruyama method for a class of SDEs which take values in a given domain. However, expensive computational cost is required for implementation of an implicit numerical method. A competitive positivity preserving explicit numerical method for SDEs which take values in the positive domain is the logarithmic truncated Euler-Maruyama method. However, assumptions for the logarithmic truncated Euler-Maruyama method used in previous work are restrictive which exclude some important SDE models with specific parameters. The main aim of this paper is to use weaker assumptions to establish strong convergence theory for the logarithmic truncated Euler-Maruyama method.
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Item type: Article ID code: 87994 Dates: DateEvent30 April 2024Published23 January 2024Published Online14 January 2024AcceptedSubjects: Science > Mathematics > Probabilities. Mathematical statistics Department: Faculty of Science > Mathematics and Statistics Depositing user: Pure Administrator Date deposited: 30 Jan 2024 14:48 Last modified: 20 May 2024 09:02 URI: https://strathprints.strath.ac.uk/id/eprint/87994