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Research questionHow can iterated one-step approximations control error in strongly continuous convex monotone semigroups?Local errors in an approximate one-step operator can accumulate or amplify when it is iterated to represent a semigroup. The challenge is to transfer one-step accuracy into controlled full-semigroup approximation, with quantitative rates in the envelope case.
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Latest papersRecent research connected to this question, newest first.Neural operators approximate strongly continuous convex monotone semigroupsThe source studies neural-operator approximations of strongly continuous convex monotone semigroups. It establishes universal approximation for Chernoff-neural operators, quantitative rates for envelope-neural operators, and numerical examples in the stated application areas.research paper · Sep 2, 2026
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