{'fraction_non_alphanumeric': 0.019261637239165328, 'fraction_numerical': 0.0, 'mean_word_length': 5.36734693877551, '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}}
Approximation of ill-posed evolution problems and discretization of C-semigroups

Abstract - This paper is devoted to numerical analysis of ill-posed problems of evolution equations in Banach spaces. Since a C-semigroup is a regularizator family for an ill posed-problem we consider approximation by C-semigroups for a general approximation scheme. In this direction the relevant notion is that of C operator, which provides the regularization property. Within this context some interesting aspects of regularization using stochastic differential equations with discretization in space and in time variables are considered.