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most citedFiltered Lie-Trotter splitting for the "good" Boussinesq equation: low regularity error estimates

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Low-regularity error estimates of a filtered Lie-Trotter splitting scheme for the Zakharov system in arbitrary dimensions

Lun Ji, Hang Li, Chunmei Su

In this paper, we establish error estimates for a fully discrete, filtered Lie splitting scheme applied directly to the Zakharov system -- a model whose solutions may exhibit extre…