{'fraction_non_alphanumeric': 0.01859504132231405, 'fraction_numerical': 0.0, 'mean_word_length': 5.6438356164383565, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Stability of the drift-randomized Milstein method for a class of non-autonomous stochastic differential equations

In this paper, the exponential stability of the newly developed drift-randomized Milstein method is studied. The underlying equations are a class of non-autonomous stochastic differential equations with the Hölder continuous temporal variable. The drift-randomized Milstein method is proved to be able to reproduce the exponential stability of the underlying equations.