Numerical methods for mean-reverting square root processes with jumps

Abstract

We study three numerical methods: Euler-Maruyama method, compensated split-step backward Euler method, and jump-adapted Euler method by numeri- cally investigating on their performance as well as accuracy in solving the mean- reverting square root process with jumps in weak sense. Rigorous error bounds in weak sense for Euler-Maruyama and compensated split-step backward Euler methods will also be provided