Strong Convergence Rates for Euler Schemes of Levy-Driven SDE using Dynamic Cutting
Abstract
We derive strong Lp convergence rates for the Euler-Maruyama schemes of Levy-driven SDE using a new dynamic cutting (DC) method with a time-dependent jump threshold. In addition, we present results from numerical simulations comparing the DC and Asmussen-Rosinski (AR) approaches. These simulations demonstrate the superior accuracy achieved by the DC method.
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