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math.PR2025
Randomised Euler-Maruyama Method for SDEs with Hölder Continuous Drift Coefficient Driven by -stable Lévy Process
Jianhai Bao, Haitao Wang, Yue Wu +1
In this paper, we examine the performance of randomised Euler-Maruyama (EM) method for additive time-inhomogeneous SDEs with an irregular drift driven by symmetric -table proces…
math.PR2025
Explicit positivity preserving numerical method for linear stochastic volatility models driven by -stable process
Xiaotong Li, Wei Liu, Xuerong Mao +2
In this paper, we introduce a linear stochastic volatility model driven by -stable processes, which admits a unique positive solution. To preserve positivity, we modify the clas…
math.PR2025
Randomised Euler-Maruyama method for SDEs with Hölder continuous drift coefficient
Jianhai Bao, Yue Wu
In this paper, we examine the performance of randomised Euler-Maruyama (EM) method for additive time-inhomogeneous SDEs with an irregular drift. In particular, the drift is assumed…